Choose Online Math Guide

LESSON ON VOLUME OF SOLIDS

2011-01-20T22:01:00.000-08:00

Often, students work with shapes and solids under Geometry. Geometry deals with the study of solids and shapes and the measurements associated with them. Therefore various calculations with respect to the size, shape and volume is often done under Geometry. One of such computations is calculating volume of solids.
There are various types of solids. They are:

· Cube

· Cuboid

· Prism

· Pyramid

· Cylinder

· Sphere

· Cone

Students can use various volume formulas to calculate the volume of the various solids. The Volume is basically the 3 dimensional 'space' occupied by a particular solid.

Students can solve problems on finding volume and learn how to find volume of various solids. Ample problems are available online for students to practice upon. They can also get Geometry tutoring online to get help with solving problems in geometry.

how to find the slope

2010-09-23T23:10:00.000-07:00

Let us learn how to find the slope

Interpret the slopes of the following lines joining

(i) (6,4) and (−7, 4) (ii) (−2,8) and (−2, 7).

(i) To find Slope of the given line “m”= y₂- y₁ / x₂ – x₁ = 4-4 / -7- 6 = 0 /-13 = 0

∴ Therefore line is parallel to the x-axis.

(ii) To find Slope of the given line “m” = y₂- y₁ / x₂ – x₁ = 7-8 / -2+2 = not defined.

Therefore, The line is perpendicular to the x-axis.

In our next blog we shall learn about blood type personality traits I hope the above explanation was useful.Keep reading and leave your comments.

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final exam calculator

2010-09-22T22:27:00.000-07:00

Let us learn about final exam calculator

Final exam score is referred as the calculation of the marks secured by each student that can be used to predict the results of the students & the grades secured by them.

Final exam score includes calculation of the total marks of students, calculation of the percentages & the final step is the prediction of the grade with respect to his/her percentage.

Final exam score calculator is mostly used in the educational institutions to predict the grading of their students & the grading system often requires the final percentage of score of the students. Final exam calculator helps tutors to calculate score which helps the institutions to know the ranking of their university according to their pass percentage of the students.

In our next blog we shall learn about oxygen properties I hope the above explanation was useful.Keep reading and leave your comments.

standard deviation table

2010-09-20T22:37:00.000-07:00

Let us learn about standard deviation table

Standard deviation table, a standard normal table also known as the "Unit Normal Table" is a math table for the values of Φ, the cumulative distribution function of the normal distribution. Standard deviation table are used to find the probability that a statistic is observed below, above, or between values on the standard normal distribution, & by extension, any normal distribution.

Standard deviation table is the measure of describing squared mean difference variability & spread of the Data set in the given total numbers. Standard deviation table is used to take the measurement of taking square root and average of numbers in the Data set.

Formula for standard deviation,

In our next blog we shall learn about stationary waves I hope the above explanation was useful.Keep reading and leave your comments.

logarithm solver

2010-09-19T22:33:00.000-07:00

Let us solve problem using logarithm solver

Solve for x: 5^x = 2.

Apply the logarithm of both sides.

log 5^x = log 2

Use theorem 2 to simplify the equation.

x * log 2 = log 5

Solve for x by dividing each side by log three

x = (log 5/log 2)

A decimal approximation may be found if desired -

x = 2.32192809.

Solve Log₃(2x+5) = 2 for x.

Write an equivalent exponential expression, 2x+5= 3²

2x+5=3*3

2x+5=9

Solve for x. 2x=4, x = 2.

In our next blog we shall learn about what is naoh I hope the above explanation was useful.Keep reading and leave your comments.

equivalent fractions calculator

2010-09-17T00:40:00.000-07:00

Let us solve problem using equivalent fractions calculator

Convert 9.6 to equivalent fraction number by using equivalent fractions calculator

Here transfer 9.6 to an equivalent fraction,

Multiply both the numerator & the denominator by 10.

= (9.6 x 10)/10

= 96/10

Hence there is one digit in a place of the very last digit is the "10th" decimal place. Therefore we can just say that 0.1 is the same as 1/10.

= 9.6 can be written as the equivalent fraction = 96/10

In our next blog we shall learn about refractive index of glass I hope the above explanation was useful.Keep reading and leave your comments.

maxima and minima

2010-09-15T23:07:00.000-07:00

Let us learn about maxima and minima

A function is refers to be monotonic if it is either increasing or decreasing but not both in a given interval.

Consider the function f(x) = 3x+1, x£ [0,1]

The mentioned function is increasing function on R. Hence continuous function is a monotonic function in [0, 1]. Continuous function has its minimum value at x = 0 that is equal to f (0) =1, has a maximum value at x = 1, that is equal to f (1) = 4.

'Every monotonic function imagines its maximum or minimum values at the end points of its domain of definition.'

Point to be remember that 'every continuous function on a closed interval has a maximum and a minimum value

The maxima and minima value of an expression or quantity is meant primarily the "greatest" or "least" value which it can receive. However, there are notes at which its value ceases to increase & begins to decrease; its value at such a point is known a maximum. So there are points at that its value ceases to decrease & begins to increase; such a value is known as a minimum. There may be many maxima or minima, & a minimum is not necessarily less than a maximum. For illustration the expression (x 2 -1x+ 2)/(x - 1) can driven all values from - 00 to - 1 & from + 7 to + oo, but has, so long as x is real, no value between - 1 & + 7. Here - 1 is a maximum value, & + 7 is a minimum value of the expression, though it can be made greater or less than any assignable quantity.

In our next blog we shall learn about interval world I hope the above explanation was useful.Keep reading and leave your comments.

decimal squares

2010-09-15T03:06:00.000-07:00

Let us learn about decimal squares

Decimal Squares is a program for tutoring place values & the use of decimals. Decimal Squares was improved by Professor Albert Bennett at the University of New Hampshire. The bulk of the program is a series of classroom learning materials & books that are available for purchase. 1 aspect of the Decimal Squares program which you can access for free is the games section.

The games section of Decimal Squares offers 8 interactive games which students can use to develop their understanding of place values.

Decimal Squares are applied as a visual model for the part-to-whole concept of decimals & for illustrating decimal equality, place value, inequality, & estimation.

In our next blog we shall learn about boiling point of methanol I hope the above explanation was useful.Keep reading and leave your comments.

graphing fractions

2010-09-13T23:42:00.000-07:00

Let us learn about graphing fractions

The term 'fraction defines a number that is being used to describe a part of a group & while writing it student can use the term denominator & numerator. Nominator is used to write the number that is above the line & denominator is used for the number that is below the line. Best example: If you write the term ½ you can say that the term is being written in terms of fraction & the digit '1' is known as the numerator while '2' is known as denominator.

How to graph fractions on a graph?
The same way student would graph numbers which are not fractions.
SAMPLE:
Graph 1/2 & 3/4 on the real number line.
<------(-2)------(-1)--------(0)------(1)-------(2)---->
Obviously, where would student put fractions 1/2 & 3/4?
The fractions would easily fit between 0 & 1, right?
The same applies to points on a graph.
SAMPLE:
Graph (2, 3/4) & (0, 1/2) on the xy-plane?

How would student graph these points?
For (2, 3/4), student travel 2 units to the right on the x-axis

& 3/4 units UP on the y-axis & plot the point there.
For (0, 1/2), student would NOT travel on the x-axis because of ZERO but student would need to travel 1/2 units UP on the y-axis and plot the point there.

In our next blog we shall learn about earth elements paint I hope the above explanation was useful.Keep reading and leave your comments.

square root of 48

2010-09-12T23:07:00.000-07:00

Let us learn about square root of 48

Calculate the square root of 48. Answer: √48= 6.92820323. Factor the radicand & take the square roots of the factors.

√48 = √(16×3)
= √16√3
= 4√3

Simplify the following square root. √48 Solution: √48 = √16*3 = √16 * √3 = √4² √3 = 4√3

In our next blog we shall learn about informal letter I hope the above explanation was useful.Keep reading and leave your comments.

graph quadrants

2010-09-08T23:28:00.000-07:00

Let us learn about graph quadrants

There are four quadrants in a graph.
The most used 1 is the first quadrants which is the top right one.
The second quadrant is the 1 on the left of it.
The third is the 1 below the second quadrant
The forth quadrant is the 1 on the graph that is below the first quadrant.

II | I
---+---
III | IV

Divide the graph into four parts & each part is called as quadrant. Traditionally, learner use the x & y axis to divide it. The portion of the graph with positive x & y coordinates is the 1st quadrant; the 2nd has positive y values & negative x values, while the 3rd quadrant has both negative x & negative y values. The last is the 4th quadrants which are below the 1st quadrant. It has positive x values & negative y values.

The point (0,0) the center of a clock, the 1st quadrant is between 3 & 12 & the 2^nd between 12 & 9, the 3rd between 9 & 6 & the 4th between 12 & 3.

In our next blog we shall learn about particle theory of matter I hope the above explanation was useful.Keep reading and leave your comments.

integral of sin squared x

2010-09-08T00:42:00.000-07:00

Let us learn about integral of sin squared x

1st convert sin-squared-x to its double-angle identity: 1/2[1-cos (2x)] & then integrate which expression by conventional process to obtain the solution:

x/2 - sin(2x)/4

The integral of sin x² is one of the Fresnel Integrals. If F(x) = sin x is an function & the derivative of function with respect to x is f(x) = cos x , then we call the integral of f(x) with respect to x is F(x). In trigonometrically term like sin, cos, tan also can be performed in integral calculus.

i.e., ⌡cos x dx = sin x + c, where c is constant.

In our next blog we shall learn about role of students in disaster management I hope the above explanation was useful.Keep reading and leave your comments.

polynomial factor calculator

2010-09-06T22:52:00.000-07:00

Let us learn about polynomial factor calculator

Steps to find solution the algebra factoring polynomials calculator are as follows:

* Try to arrange in the order of powers.

* Given expression will be written in standard form ax² + bx + c = 0.

* Try to find the greatest common factor

* Factor any complex variables.

* Try to Solve the terms

x² ( x³+ 5 ) ≡ x²· x³+ x²· 5 ≡ x⁵+ 5x²;

x²( x + 5 ) ≡ x²· x + x²·5 ≡ x³+ 5x²;

x ( x³+ 5 ) ≡ x· x³+ x· 5 ≡ x⁴+ 5x;

x ( x+ 5 ) ≡ x· x+ x· 5≡ x²+ 5x;

here use the identity x ≡ x^1.

In our next blog we shall learn about three parts of cell theory I hope the above explanation was useful.Keep reading and leave your comments.

define function

2010-09-06T00:42:00.000-07:00

Let us learn about define function

Functions are what we apply to describe things we want to talk about mathematically.

A function is a bunch of ordered pairs of things with the property which the 1st members of the pairs are all different from 1 another.

Best Example for define function in math:

Suppose the given function f(x) is 8x²+5x+3. Finding the value of f (2)?

Solution: Given function f(x) = 8x²+5x+3

Find the value of f (2)

Substitute the value “x” for 2, then, f (2) = 8x4+5x2+3 =32+10+3, f (2) = 45

In our next blog we shall learn about expected value calculator I hope the above explanation was useful.Keep reading and leave your comments.

mensuration formulas

2010-09-03T01:06:00.000-07:00

Let us solve problem on mensuration formulas

Write the given values in a decimal form

a) Six ones and eight- tenth

b) Twenty and six - tenth.

Solution:

a) Six ones and eight- tenth = 6 + 8/10

= 6.8

b) Twenty and six – tenth = 20 + 6/10

= 20.6

Write the following terms in decimal form.

400 + 20 + 8 + 5/10 + 8/100

Solution:

400 + 20 + 8 + 5/10 + 8/100 = 428 + 5 x 1/10 + 8 x 1/100

= 428 + 0.5 + 0.08

= 428.58

In our next blog we shall learn about simplifying radicals calculator I hope the above explanation was useful.Keep reading and leave your comments.

box and whisker plot maker

2010-09-01T22:53:00.000-07:00

Let us learn about box and whisker plot maker

Box and whisker plot maker is also called as box plot or Whisker plot. box and whisker plot maker is a suitable way of graphically give a picture of groups of numerical data with the use of their 5-number summaries. Box & Whisker plots are basically applied in the display of statistical analyses of a group of numbers.

A box &whisker graph is applied to display a set of data. hence that you can easily see where most of the numbers are.

The best example, suppose you were to catch & measure: the length of 13 fish in a lake: A box & whisker plot is depend on medians. The 1st step is to rewrite the data in order, from the smallest length to largest: This must be the median middle number because there are 6 numbers on each side.

In our next blog we shall learn about vsepr chart I hope the above explanation was useful.Keep reading and leave your comments.

simplify radicals calculator

2010-09-01T00:30:00.000-07:00

Let us learn about simplify radicals calculator

Simplify radicals calculator will help to calculate the simplified radical expression of entered values. Simplify radicals calculator will show the work by separating out multiples of the radicand that have integer roots. Simplify radicals calculator Will simplify radical expressions for positive integers for the radical or radicands. Decimals will be rounded down. First we need to find radicands which have whole number roots & pull those outside.

Simplify radicals calculator is able to separate as the release calculator & able to find solution of any rectangle root evens negative ones. Simplify radicals calculator is comparable to solving rational equations, extra than there is 1 other step.

Functions of simplify radicals calculator

The radical functions & standard exponents be capable of separate as the denominator & the numerator of the rational purpose are equivalent trainer & that worth would be x=1.

1. √x + 6 = 10

6 is subtract on both sides

√x + 6 -6 = 10-6

√x = 4

X^2 = 2^2

x=2

2. √x + 21 = 46

21 is subtract on both sides

√x + 21 – 21 = 46 – 21

√x = 25

X^2 = 5^2

x=5

In our next blog we shall learn about percent composition calculator I hope the above explanation was useful.Keep reading and leave your comments.

factors of 56

2010-08-30T23:17:00.000-07:00

Let us learn about factors of 56

A factor is a number can evenly be divided into another number. Any number that can be divided by1 & itself. Numbers which can only be divided by 1 & themselves are called prime numbers. The number 1 & the number itself are factors of the number.

Factors of 56 = 2, 4, 7, 14, 28

Divide the given number by first prime number 2.

56/2= 28 remainder is (0).

2 is one of the prime facto

28/2 = 14 remainder (0).

2 is a prime factor.

14/2=7 remainder (0).

2 is a prime factor.

So the prime factor of the number 56 is 2 * 2 * 2 * 7

In our next blog we shall learn about dicot root I hope the above explanation was useful.Keep reading and leave your comments.

how to divide fractions

2010-08-29T23:18:00.000-07:00

In our previous blog we learned how to divide fractions & now let us learn How to divide polynomials

How to divide polynomials can be done by canceling the like terms the following are the steps:

Step 1: Represent the polynomials in division form i.e. numerator and denominator
Step 2: Cancel like terms if any
Step 3: Then divide similar like fractions.

How to divide polynomials x³y² by (x3y)
Given: x³y² and (x³y)
x³y²/(x³y) = y

In our next blog we shall learn about bar graphs I hope the above explanation was useful.Keep reading and leave your comments.

free online tutor

2010-08-27T21:31:00.000-07:00

Let us learn about free online tutor

Useful online tutoring links

There many website which allow pupils to brush up on mathematics subject revision methods or to complete their homework. They can also provide tutors & tutoring assistants with various classroom ideas relating to specific mathematics subject topics as well as other subjects in the National Curriculum.

Revision & homework guides are available here for Key Stages two to AS level students. Learner can take part in practice exercises in subjects like number estimation space, mental arithmetic & measurement & handling data.
Revision website offers 'bite size' revision guides for pre-schoolers to over-16s. learners can ask the 'SOS' teacher specific mathematics subject questions to help them with their homework.
These blog resources geared to helping student with their homework problems in mathematics subject & all other curriculum subjects. Games & activities are covered in algebra, geometry, trig & practical science-based mathematics subject starting at Key Stage 1.
Primary & secondary school students can find mathematics subject revision guides on the Channel 4 bumper website, which also has an 'Ask a question' page, a 'Get an solution' page & a 'Homework High' chat room with a Math zone for interactive role-play adventure games.
The use of interactive whiteboards, mathematics games, test papers and marking guidelines for teachers are all available at this easy to use site.
Online exhibition gives children the chance to study confidently, learn about timekeeping & take part in a 'time shuffling' challenge.

In our next blog we shall learn about past papers I hope the above explanation was useful.Keep reading and leave your comments.

primary resources maths

2010-08-27T02:27:00.000-07:00

Let us learn about primary resources maths

Mathematics subject is fun! Get ideas, methods about how to stimulate pupils' imagination by playing & using games in mathematics lessons.

Mathematics subject as a curriculum-taught subject has been getting a rough deal. There's a huge gap in the number of learners who go on to study mathematics subject in higher education. Perhaps by looking at tutoring methods & the use of resources at the primary end of the mathematics subject learning experience, a few practical gems can be teased out to provide a basis for exploring numeracy in new, exciting & beneficial ways.

In our next blog we shall learn about algebra problems I hope the above explanation was useful.Keep reading and leave your comments.

multiplication table 1-100

2010-08-25T23:42:00.000-07:00

Let us learn about multiplication table 1-100

Multiplication is the arithmetical operation of calculating 1 value with another value. This is 1 of the type of operations in basic arithmetic. Multiplication is nothing but the repeated addition. Best example: 2 X 10 = 30, so it represents 10 + 10 = 20, hence for adding the number 10 simultaneously 2 times. Multiplication table is useful for making the multiplication process easier

Student life will be a lot easier when they can simply remember the multiplication tables. So ... train your memory! A multiplication table chart is a mathematical table used to define a multiplication operation for an algebraic system.

The decimal multiplication table chart was traditionally taught as an essential part of elementary arithmetic through out the world, as it lays the foundation for arithmetic operations with our base-ten numbers. Several educators believe it is necessary to memorize the table up to 9 * 9.

In our next blog we shall learn about periodic table with charges I hope the above explanation was useful.Keep reading and leave your comments.

grade 5 math

2010-08-25T03:02:00.000-07:00

Let us learn about grade 5 math books & worksheet.

Many livebinder has a great list of math word problems for 5th graders. Which includes links to pdfs, worksheets & some background as to the development skills which are being taught to 5th graders? There are also some interactive websites, so learners can find solution for problems online without having to print the worksheets.

Grade 8th math books contain math word problems for 4th and 6th graders to help with different developmental styles. Ideas & Skills they work on are recognizing patterns & algebra, data management & algebra, data management & probability, number concepts, measurement & geometry.

Math Worksheets which improves the skill of decoding sentence to create & solve math problems. It includes a math lessons also

These word problem worksheets can also generate millions of combinations & provide any learner with enough practice to master this very important skill.

Word problems build critical problem-solving, higher-order thinking, and reasoning skills. All of the printable math word problem worksheets on this site. These math worksheets have simple, 2nd grade math problems about known topics. Super tutor Worksheets, has PDF files of 2nd grade math word. The math Word Problems are listed by grade &, within each grade, by theme. We always find that providing a seasonal math worksheet helps keep our children excited

In our next blog we shall learn about linear equation graph I hope the above explanation was useful.Keep reading and leave your comments.

what is indices

2010-08-24T00:02:00.000-07:00

Let us learn about what is indices?

Indices are one of the basic terms in the mathematics. The word indices are plural form of the word index. Even though the word index has many different meanings in mathematics but the word indices mostly used. The meaning of the index in the mathematics is that, which indicates the exponential power of a number

let us solve online indices:

Simplify the exponents (4²)²

Solution:

We need to simplify the exponents (4²)²

It comes under the second rule of indices.

(a^m)ⁿ = a^mn

Here a= 4, m= 2, n= 2

By applying it in the formula we get

=4 ^(2*2)= 4⁴

= 216.

In our next blog we shall learn about square foot calculator I hope the above explanation was useful.Keep reading and leave your comments.

simplest form calculator

2010-08-23T02:19:00.000-07:00

Let us learn how simplest form calculator helps us in solving math problem.

Simplest form calculator is defined as writing the numbers in its lowest forms. Simplest form of number is only possible when the numerator and denominator have similar common factors. When the given terms are in the form of fraction, you write it into simplest form. Variables can also be written in simplest form.

Simplest form calculator is used to calculate the numerical or equations values in simplest form. By using the simplest form calculator, the basic arithmetic fractions can be done. Simplest form calculator is useful for solving hardest fraction problems.

By using Simplest form calculator solve the given problem: 9/24 + 6/24

The denominators are same; hence perform the addition operation.

= 9/24 + 6/24

= 9+6/24

= 15/24

Simplify it,

Answer = 5/8

In our next blog we shall learn to find out factors of 80 I hope the above explanation was useful.Keep reading and leave your comments.

what is a radius

2010-08-21T03:08:00.000-07:00

Let us learn what is a radius?

The space from the center to the edge of a circle

it is 1/2 of the circle's diameter is called radius

Find the diameter of the circle whose area is 22cm.

Solution:

Given that the area of the circle is 22cm.

Area of the circle = pi *r²

22 = pi * r²

22 = 3.14 * r²

Divide by 3.14 on both sides

22/3.14 = 3.14 * r²/3.14

71.66 = r²

r = √7.01

r = 2.65cm.

Diameter of a circle = 2 * radius

= 2 * 2.65

=5.3cm.

In our next blog we shall learn about wiring diagram symbols I hope the above explanation was useful.Keep reading and leave your comments.

electric range parts

2010-08-21T00:28:00.000-07:00

Let us learn about electric range parts.

Electric ranges are useful the main reason why people use Electric range because, it heats up only at the top and the efficiency is very high and they left no residue as waste.

The electric ranges are very smooth and frictionless surface & it is easy to clean. After that the new technology came which is for the professional kitchens. The technology is of induction-based stoves called induction stoves.

The heat which is generated in the induction stoves is due to the electromagnetic induction and in these stoves, we use the utensils having bottom of ferromagnetic substances.

Electric ranges are very famous in urban & rural areas. Electric range is more efficient than gas ranges. The electric range helps us in saving time, it cooks very fast and in more quantity food as compared to the gas stoves. All-electric range is the driving range of a vehicle using only power from its electric battery pack to traverse a given driving cycle

In our next blog we shall learn about electron configuration of all elements I hope the above explanation was useful.Keep reading and leave your comments.

parts of a circle

2010-08-20T03:32:00.000-07:00

Let us learn about parts of a circle.

Radius, Diameter, Chord, Secant line, Tangent line,

To find diameter of circle we need to us this formula = D = 2r or r = (1/2)d

Find the diameter of the circle whose radius is 4 cm.

Solution:

Formula: d = 2r

To find: diameter of the circle.

d = 2*r = 2*4 = 8 cm.

In our next blog we shall learn about formula for sodium carbonate I hope the above explanation was useful.Keep reading and leave your comments.

how i survived middle school

2010-08-19T00:33:00.000-07:00

Surviving Middle School: Tips For Parents From A Middle School Counselor

Hi Friends!!!

How many of you like school days?

The thought of middle school days always brings back special memories. A lovely & cool atmosphere with lots of fun activities. I remember how I survived middle school when ever I see children going school. My school days have become sweet memories of my life. You and your child can enjoy these middle school years only if you:

• Help them to build a sense of self-confidence.

• help them to understand their needs & allow them to spend time with friends.

• Stay firm but flexible when ever necessary.

• And most important is, always keep the lines of communication open.

I can say college life is golden life, lower school is silver life and middle school is diamond life.

Middle school can be ever challenging time in a student's life.

In our next blog we shall learn about nitrogen fixing bacteria. Keep reading and leave your comments.

online math tutor

2010-08-18T00:16:00.000-07:00

Hi Friends!!!

Let us know how online math tutor will help you to solve past papers.

Practicing maths past papers is the best way to gain perfection in subject and to complete your revision as you can test yourself under exam conditions, with the same three hour time constraint you'll have in the exam. I can say they are the most valuable resource for carrying out revision. Solving past papers enable students to gauge their subject knowledge and uncover their strengths and weaknesses, enabling you to understand what areas you need to devote more time to and conversely, what areas you can devote less time to. Through online math tutoring you can solve past papers.

It is the one of the most effective & easy way of increasing interest in learning and your chances of passing exams at school is to obtain past Test papers.

There are 4 to solve maths past papers:

1. It enables you to understand & establish the type of questions being asked.
2. How those questions will be marked. For exam some answers carry more points then others
3. You will learn how to manage your time during the exam.
4. It helps you to revise & review information from math books or math notes that are most important for the math exam.

One hand before you obtain past papers the better as it enables you to gear your revision around the typical type of questions that you are likely to get asked. online math tutor will help you to solve math past papers.

I hope the above explanation was useful.Keep reading and leave your comments.

equilateral triangle

2010-08-16T23:40:00.001-07:00

Hi Friends!!!

Can you identify which is the equilateral triangle from given figures.

A triangle in which all three sides are equal or balanced is called an equilateral triangle.

Equilateral triangles are also equiangular; that is, all three internecine angles are also congruent to apiece else and are apiece 60°. They are routine polygons, and can thus also be referred to as regular triangles.

The altitude h of an equilateral triangle is

h=s sin 60 degree

=1/2(√ 3)*a

In our next blog we shall learn about volume of a cube I hope the above explanation was useful.Keep reading and leave your comments.

area of a circle

2010-08-15T23:22:00.000-07:00

Let us learn about area of a circle formula

The area of a circle is the number of square units inside that circle.

A circle is a closed smooth curve, each point on the boundary of which is equidistant from a fixed point inside it which is called the centre

Area is the measure of surface occupied by an object. The standard unit for measurement of area is meter square (m²).However the area of smaller dimensions can be expressed in mm²or cm². The areas of large dimensions can be expressed in acre or hectare

area of a circle examples

Finding the area of circle with radius equal to 6.5 inch using π = 3.14

Solution:The Area of circle as, A=πr²

Substitute the values of radiusand π.

Therefore, A= (3.14 * 6.5*6.5)

Squaring the radius and then multiplying with 3.14 and then we get,

Area=3.14 * 42.25

answers to area of circle = =132.67 square inch.

I hope the above explanation was useful.Keep reading and leave your comments.

pre algebra homework

2010-08-14T03:45:00.000-07:00

Hi Friends!!!

Can any tell me why homework given to students? Why pre algebra homework is given to students?

Schoolwork, or preparation assignment, refers to tasks assigned to students by their teachers to be realized mostly extracurricular of people, and derives its call from the fact that most students do the age of such transmute at institution. Democratic school work assignments may include a amount or period of representation to be performed, writing or typing to be complete, problems to be resolved, a polish projection to be stacked or added skills to be experienced.

If you need any help on algebra 1 homework, you can get guidance from math homework helper.

free math problems

Simplify the expression: -10x - 7y - 8x + 9y + 6x + 4z

Solution:

-10x - 7y - 8x + 9y + 6x + 4z

Add the like terms in the given expression

(-10 - 8 + 6) x + (-7 + 9) y + 4z

Simplify the expression

-12 x + 2y + 4z

So, the answer is -12 x + 2y + 4z.

I hope the above explanation was useful.Keep reading and leave your comments.

algebra helper

2010-08-12T23:04:00.000-07:00

Hi Friends!!!

Looking for algebra helper? Well, you have come to the right place! MATH-TEACHER makes the teaching and learning of math as simple as math can get! Arithmetic builds progressively from idea to idea. MATH-TEACHER helps students understand each idea before moving on to the next. Each lesson first presents the ideas and a boundless number of sample issues.

Free online algebra tutoring provides Flexibility in solving Issues. Students can pick their own solving route and are not confused by the limited acceptable exposés used by our competitors. Guidance provided on how to start each issue if needed. Smart Hints catch common errors .Difficulty adjusts to the student's competence

Look for some free online algebra tutor and practice from them. There are plenty of sites which they find online and they help us a lot in solving the arithmetic issues. In the event you practice these issues you will solve math word issues within a few seconds.

factoring expressions

2010-08-11T23:20:00.000-07:00

Let us learn about factoring expressions

In mathematics, Polynomial expression is one important topic in algebra. Factoring polynomial expression is defined as the process of solving the given polynomials expression by using the concepts of factoring. Using the greatest common factor, the given polynomial expression can be factorized. Let us solve some example problems for factoring polynomial expression.

Factoring Polynomial Expression Steps:

Different steps to solve polynomials expression,

Given polynomial expression
Polynomial expression is arranged in the order of powers and then it is in the standard form of ax² + bx + c = 0
Factor the polynomial expression

Simplify the factored terms

In our next blog we shall learn about atomic radius periodic table I hope the above explanation was useful.Keep reading and leave your

volume of a cube formula

2010-08-11T00:40:00.000-07:00

Let us learn about volume of a cube formula

Cube is one of the basic three dimensional images. Cube consists of six faces and each face meets at right angles. In total, cube has eight vertices's and twelve edges. As cube consists of six faces, it is also known as regular hexahedron. Volume is to be calculated for three dimensional images. Volume cube calculator is used to calculate the volume of cube in online. This calculator is very helpful for calculating the volume of cube. When the required values are entered in the calculator, it automatically generates the output.

Formula 1:

The formula for calculating the volume of a cube if all the sides are equal,

Volume of a cube = a³

Where, “a” is the side of the cube.

Formula 2:

Formula for calculating the volume of cube, when all the sides are different,

Volume of cube = l*w*h

where, l = length

w = width and

h = height

In our next blog we shall learn about unit step function I hope the above explanation was useful.Keep reading and leave your

pythagoras theorem proof

2010-08-05T23:00:00.000-07:00

Let us learn about pythagoras theorem proof

In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).

It can be expressed in equation form as,

a² + b²= c²

Where, a and b are the sides of a right triangle

c is the hypotenuse of the right triangle

In our next blog we shall learn about bacillariophyta I hope the above explanation was useful.Keep reading and leave your comments.

orthographic drawing

2010-08-04T22:55:00.001-07:00

Let us learn about orthographic drawing

A projection on a plane, using lines perpendicular to the plane

Graphic communications has many forms. Orthographics is one such form. It was developed as a way of communicating information about physical objects. It is part of a universal system of drawings. House plans - one well known drawing format, are a form of othographic projection. In simple terms, orthographic drawings are views (front, side, top, and so on) of an object. An orthographic view is only one side. It takes several views to show all the object. Before getting to views, it is useful to look at another type of drawing. Pictorial drawings show several sides at the same time. Many people find pictorial drawings easier to understand. They do not provide as much information as orthographic views. The most commonly used pictorial drawing for technical information is called isometric drawings. Isometric drawings were developed to approximate perspective, but are much easier to draw. For a square box, all the sides are drawn as vertical lines, or at 30 degrees to the horizontal.

Match the orthographic drawing to the isometric drawing.

A ) Figure 4
B ) Figure 2
C ) Figure 3
D ) Figure 1

Steps to derive

1 An orthographic drawing shows the top view, front view and right-side view of a three-dimensional figure.
2 Develop a three-dimensional figure from the orthographic views.
3 Top view forms the base of the structure. A three-dimensional structure is developed from the orthographic views.
4 Figure 2 gives the isometric drawing of the structure developed from orthographic drawing.

Hence the right answer is Option B

In our next blog we shall learn about "alphabet of lines"

I hope the above explanation was useful.Keep reading and leave your comments.

least squares regression line

2010-08-04T02:58:00.000-07:00

Let us learn about least squares regression line

Regression is the measure of the average relationship between two or more variables in terms of the original units of the data. This can be represented by an equation of a straight line which can be obtained by the method of least squares. The equations are of two forms as y on x and x on y. To obtain them we use the following normal equatons.

(i) Regression line y on x: It is given by y = hx + k.

Their normal equations are:

Σy = hΣx + nk ……………… (1)

Σxy = hΣx ²+ kΣx …………. (2)

By solving (1) and (2), we arrive at the required equation y = hx + k

(ii) Regression line x on y: It is given by x = hy + k.

Their normal equations are:

Σx = hΣy + nk ……….. (1)

Σxy = hΣy ² + kΣy ………… (2)

By solving (1) and (2), we arrive at the required equations x = hy + k

In our next blog we shall learn about converting 1 meter in feet

I hope the above explanation was useful.Keep reading and leave your comments.

plot line

2010-07-31T03:34:00.000-07:00

Let us learn about plot line

A line plot is defined as a graph that shows frequency of data along a number line. It is best to use a line plot when comparing fewer numbers.

A line plot shows data on a number line with the symbol x or other marks to show frequency.

In the applications of line plot, we have also created the scatter plot analysis. I we go in the wrong path or plotting the extra values or plotting the values in different place or leaving some values when we plotting make great difference in the diagrams.

Line Plot Maker - Making a Number Line Plot:

To define the scale which we use, if the data is described as 100 the scale is increased by 10. So that we define the scale as 10 for 100

Next we have to draw the horizontal line to across the paper.

Break the grid as per the required scale.

Place the data values of x in the x-axis and y in the y-axis.

X X

X X X

X X X X X X

0 1 2 3 4 5 6 7 8 9 10

In our next blog we shall learn about converting 1 meter to feet

I hope the above explanation was useful.Keep reading and leave your comments.

fraction reducer

2010-07-27T03:05:00.000-07:00

Let us learn about fraction reducer

The word fraction has been derived from the Latin word fractus, means broken

A Fraction means a part of a group or a region or a whole.

Fractions having the same(common) denominators but different numerators are known as like fractions.

Fraction is defined as an element of quotient field. Fraction can be represented as " a / b " here fraction variable 'a' denotes the value called as numerator and fraction variable 'b' denotes the value called as denominator and the denominator 'b' is not equal to zero.

Fractional functions:

The fraction rule is used in following functions,

Addition
Subtraction
Multiplication
Division

In our next blog we shall learn about misleading graphs

I hope the above explanation was useful.Keep reading and leave your comments.

change of base formula

2010-07-26T00:04:00.000-07:00

Let us learn about "change of base formula"

The solving change of base formula is known as formulas which it permits us to rework a logarithm by means of the logs that may be is written with different base.

The change of base formula is given by,

Log _a x = log _bx / log _ba

Here, assume that a, b and x are positive where a≠1 and b≠1.

Problem

Solve log ₁₆ 32

Change of base formula => log_ax = log_bx / log_ba

log ₁₆ 32 = log ₂ 32 / log ₂ 16

= 5 / 4

Thus a formula that allows you to rewrite a logarithm in terms of logs written with another base. This is especially helpful when using a calculator to evaluate a log to any base other than 10 or e.

In our next blog we shall learn "how to simplify radicals"

I hope the above explanation was useful.Keep reading and leave your comments.

Factors of 72

2010-07-21T22:54:00.001-07:00

Hi Friends, Good Morning!!!

In our previous blog we learned about Factor of 28. Today let us learn about "Factor of 72"

Like concepts presented throughout the Montessori classroom, even those more abstract concepts of Mathematics have been made concrete for the children in our classrooms. Beginning with simple number concepts like understanding quantity and identifying numerals, the Math materials include advanced presentations in cubing numbers, factors, fractions, and mathematical operations.

Factor Tree can be started by taking Different factors. The factor trees can be different but we will see that the Prime Factorization will remain same.

Steps to draw the Factor Tree of 72

Step 1: We start by building a Factor Tree of 72 by dividing 72 by smallest prime number that is 2.

Step 2: since 72 is 2 x 36 we write both these factors under 72 and circle 2 since it is prime.

Step 3: Since 36 is even number so we divide 36 again by 2 we get 2 x 18

Step 4: writing both factors 2 and 18 under 36 and circling 2 as it is again prime

Step 5: Then splitting 18 as 2 and 9 and writing the factors under 18 again circling the prime factor 2.

Step 6: Since now 9 is not divisible by 2 so we see next prime number that is 3

Step 7: On dividing it by 3 we get 3 which is the last and final factor.

Note: we keep on continuing these steps until we get all prime numbers in bottom row.

The Graphical representation of the factors of any number is called a Factor Tree

Factor Tree can be started by taking Different factors. The factor trees can be different but we will see that the Prime Factorization will remain same.

Steps to draw the Factor of 72