Thursday, September 16, 2010

Help with 45 degree angle

Introduction of 45 Degree angle Help:
45 degree angle help is an acute angle. 45 degree angle is less than 90 degree and greater than zero degree; hence it is called as acute angle. We can draw or construct 45 degree by the help of compass and also protractor. In this article, we see about the how to construct 45 degree angle by the help of compass and example problem using 45 degree angle help.

This could also help us on supplementary and complementary angles



Wednesday, September 15, 2010

Help with writing numbers

Introduction to writing numbers :
In this article, we are going to learn about
"what is meant by a number?"
"What are the rules for writing numbers?"

Definition of a Number:
A number is a mathematical quantity which is used for counting and measuring.In other words, a number can be defined as "the property possessed by an indefinite quantity or total or sum of individuals or units."
There are several types of numbers namely real numbers, complex numbers, rational numbers, integers, etc. This could also help us on elementary and intermediate algebra

Learning on calculation pi

Introduction:-

In this lesson let me help on how to calculate pi ╥ (sometimes written pi) is a mathematical constant whose value is the ratio of any circle’s circumference to its diameter in Euclidean space; this is the same value as the ratio of a circle’s area to the square of its radius

* pi is a dimensionless quantity.
* pi is an irrational number.
* pi is an transcendental number.
* Decimal notation of pi is 3.141593.
* Fraction notation of pi is [ 22/7.]

There are many formula's in the mathematics and science, which engage pi and pi calculation. This also helps us on examples of symbols

Monday, September 6, 2010

Triangle Properties


Triangle Properties:

Vertex: The Vertex is a corner of the triangle. Every triangle has three vertices.
Base: The base of a triangle can be one and all of the three sides, usually the one drawn at the bottom. You can pick any side you like to be the base. Commonly used as a suggestion side for calculating the area of the triangle. In an isosceles triangle, the bottom is usually taken to be the unequal side.
Altitude: The altitude of a triangle is the at right angles from the base to the opposite vertex. (The base may need to be extended). Since there are three likely bases, there are also three likely altitudes. The three altitudes meet at a single point, called the orthocenter of the triangle. See Orthocenter of a Triangle.
Median: The median of a triangle is a line up from a vertex to the midpoint of the opposite side. The three medians meet at a single point, called the centroid of the triangle. See Centroid of a Triangle.
Area: See area of the triangle and Heron's formula.
Perimeter: The distance around the triangle. The sum of its sides. See Perimeter of a Triangle. This could also help us on fifth grade math
Interior angles: The three angles on the within of the triangles at each vertex. See Interior angles of a triangle
Exterior angles: The angle between a face of a triangle and the extension of an adjacent side. See Exterior angles of a triangle.

Thursday, September 2, 2010

Area of a square formula

In this article let me help you on area of a square formula. Keep reading if you still have any doubts do leave your comments.
In algebra completing the square method is a framework to for converting a polynomial procedure of the contour ax^2 + bx + c to the mold (x +-k) ^2 + steady. We can also find the area of a square formula. But for now let’s start with completing square formula.

As for example here is a base representation:

Analyze the quadratic sum x^2 + 12x + 40

X^2 + 2. x. 6 + 40

The above multinomial amount is not a all paddle as 40 is not the number of 6

(x + 6)^2 = x^2 + 12x + 36. This could also help us on balancing chemical equations practice

Nevertheless, it is accomplish able to create the first quadratic as the sum of this shape and a steady:

X^2 + 12x + 40 = (x + 6)^2 + 4

Tuesday, August 31, 2010

logarithms rules

The rules of logarithms are as follows:
Lets study about logarithms rules.
Loga mn = loga m + logan, where ‘a’ is any positive number such that a≠1

Loga m/n= loga m - logan , and

Loga mb = b loga m

Where b is any rational number and m and n are positive number.You can apply the same rules on corresponding angles

Example Log15 = Log 5 + Log 3

Log 4/5= Log 4 – Log 5

Log64= Log 43 = 3 Log 4

Exercise1. convert into exponential form logm n = p

Options A. np = m

B. mp= n

C. pm= n

D mn=p

Correct answer B. This could also help us on perpendicular vectors

Sunday, August 29, 2010

Note on Simplifying Fractions

Simplifying Fractions:
A numerical expressions representing a part of a larger whole number. A fraction numbers can be converted to a decimal by dividing the upper number, or numerator, by the lower number, or denominator.

We call the top number the Numerator.
We call the bottom number the Denominator.
Example 1: 12/64(simplifying Fractions)
The fraction 12/64 is not reduced to lowest terms.
We can simplify this fractions to lowest terms by dividing both the numerator and denominator by 4. This could also help us on mean maths
Why divide by 4? 4 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 12 and 64.
So, this fraction reduced to lowest terms is3/16
The final answer is 3/16

Thursday, August 26, 2010

Inverse functions calculator


Introduction to inverse function calculator
Every bijective functions has inverse. In this article let me help you on inverse functions calculator. The function f:R→R defined by f(x) =sinx is not one one, since f(0) = 0=f(π) and hence f is not a bijection. If we restricts the domain and codomain, the function f(x)= sinx may be converted into a bijection. The restricted bijective sine function is denoted by Sinx.
Definition: The function f:[-π/2, π/2] →[-1,1] defined by f(x)=sinx is a bijection. This could also help us on sigma symbol. The inverse of f froms [-1, 1] into [-π/2, π/2] is also a bijection. This functions are inverse function of Arc sine function. It is denoted by sin-1 or Arc sin.

Tuesday, August 24, 2010

Note on equation of circle

Introduction to general circle equation:
In this article let me help you on equation of circle. A circle is a simple shapes of Euclidean geometry consisting of those points in planes which are equidistant from a given point called the center. The common distances of the point of a circle from its center is called its radius. The circumference of a circles is the perimeter of the circle (especially when referring to its length). In this article we shall discuss about general equations of circle.

General Circle Equation Example Problem
The circle equations of center radius of the circle in the form of (x – h)2 + (y – k)2 = r2 . This could also help us on integration by substitution. The center of the circles is starting at the point of (h, k) and the radius of the circle starting "r". This format of the circle equations is helpful, for easily find the center and the radius of the circle.

Formula for perimeter of a rectangle

Introduction for perimeters of rectangles :
In this article let me help you on formula for perimeter of a rectangle. Rectangles are a geometric shape it has four sides with opposite sides are equal, Perimeter tutorial for rectangle requires length and breadth measures of a rectangle, We have a suitable formula for finding the perimeter of rectangle. Rectangle is a four sided polygons and all interior angle of an rectangle is at 90°.Rectangle tutorial of an perimeter will be calculate the perimeter by the help of given length and breadth of an rectangles.

Formula for Finding Perimeters of a Rectangle:
Formula for finding perimeters of a rectangle calculator which need to be length (l) and breadth (b) of a rectangle. In this section we are going to tutorial for finding the perimeters of rectangle. This could also help us on math riddles with answers







Perimeter of rectangle =2 (length + Breadth)
=2 (l + b)
At first we have to find the measure of a length and breadth of a rectangle and then substitute the length and breadth measure of rectangle in the perimeter formula and tutorial the perimeters of rectangle.

Monday, August 23, 2010

Help on how to multiply decimals

Introduction to how do u multiply decimals:
In this article let me help you learn on how to multiply decimals. A decimal number is the base-10 system used in expressing a mixed number. In other words, it is a way of naming the values that lie between whole numbers. The whole number is separated from the fractional portion of the number with a decimal point. Let us see problems for how do u multiply decimals.

How do U Multiply Decimals:
Multiplying Decimal Numbers

How do u multiply decimals,multiply decimals set up the math problem like regular multiplication. While we get our answer, add up the total number of digits to the right of the decimals in both the numbers we are multiplying and place the decimal in our answers that many places from the right end. This could also help us on uses of statistics

Example 1:
.023 -----------> three digits
.03 × -----------> two digits
--------------
.00069 -----------> five digits
Example 2:
35
.8 ×
------------
28
------------
28 is the answer

Wednesday, August 18, 2010

Online algebra help

Introduction for solve algebra :
In this section let me help you on online algebra help, in this we are solving equations and evaluating function by the help with arithmetic functions, we denote variables like x,y in systematic equations to denote numbers. Major Symbols in an algebraic expression are called variables An Algebraic expression of the form axn is called a monomial in x. In algebra 1 contains evaluations and solving for different variables, an algebraic equations which are having common solution set is called linear equations.

How to Solve Algebra 1 Homework Problems:
This could also help us on variance formula . In solve algebra 1 we have to solve for variables for further steps we eliminate for variables and performing arithmetic in equations and finally solve the equation for variables.by evaluating step by step we have to do following process given in example problems

Tuesday, August 17, 2010

online math tutor

Introduction to learn online mathematics tutor:
Today let me help you on online math tutor along with major importance in learning through online. Online tutor help students to learn in a new way. Tutor do their job with tools like chat, whiteboard, teleconferencing and web conferencing make easy to deliver course back and forth for tutoring for students to learn online. Learn online mathematics tutor is a general math, so let us take problems from numbers, algebra. In this article let us see problems to learn online mathematics tutor.

Learn Online Mathematics Tutor:
Algebra problems:
Example:
Find the value of the expression 2x + 7 , if x = 7
Solution:
use x = 7 in the given expression 2x + 7
2x+ 7 = 2(7) + 7
= 14 + 7
X = 21
Here the value of the expression is 21. This could also help us on Statistics Problems Solved

Friday, August 13, 2010

online geometry homework help

Introduction to online geometry homework help:
Here we are going to see the article as online geometry homework help, Generally geometry is used for learning shapes and their properties of the objects ,it will be classified as two types plane geometry and solid geometry ,plane geometry is used for study about the flat shapes objects like lines ,circles and triangles etc(usually plane means we called as a flat surface ,these surfaces have only two dimension such as length and height ) and solid geometry is used for study about the three dimension objects like cubes and pyramids .free statistics answers


Thursday, August 12, 2010

geometry homework help

Introduction to online free geometry homework help:

In this session let me help you on online geometry help. Online is a free process to getting help from others .In schools, teachers will teach the lessons for the whole class but in the way of online method .The student can study the lessons with out any disturbances and he can take more notes freely from online process. Geometry is a important part of mathematics that involves with shape, position of figures and the property of space. In study the geometry math problems are in different shapes presented. In that we have to find the area, perimeter, volume and surface area.
Solved Problems at Online Free Geometry Homework Help

* Area of a rectangle = length × breadth

A = l × b

* Perimeter of a rectangle = 2 lengths + 2 breadths . This can also help us on free geometry answers

P = 2l + 2b

Tuesday, August 10, 2010

Area of a Triangle Calculator

In this article let me help you on area of a triangle calculator. Before i take you through on this let me give a brief introduction to area and triangle and how does it help in mathematics.

Area:
The size of a surface is also known as area of the shape. The amount of space within the boundary of a flat (2-dimensional) object such as a triangle or circle. These areas are all the same.

Triangle:
We know that triangle has three sides. And each side has different lengths . And the sides and angles are not equal.

Examples of Area of Triangle Help:

Following example will help you understand the problem on steb step basis. and this could also help you on obtuse triangle.

* Formula for area of triangle = ½ bh.

Here b represent the base of a triangle

h represent the height of a triangle .

Example 1:

Find the area of triangle with base 5 cm and height 8 cm?

Solution:

Step 1: we know that area of triangle = ½ bh.

Step 2: Substitute base and height value in formula.

Step 3: Therefore we get ½ *8 *5 .

Step 4: The area of triangle = 20 cm 2.

Monday, August 9, 2010

Introduction to extensive intensive property

Introduction to extensive intensive property:

In this article let me help you on extensive property. Following introduction will help you better on this article after going through if you still have any problems or comments do leave your comments or even if you wish to share anything in specific let me know so that in the next article i can help you on that in particularly.

In thermodynamics we will be discussing two types of property

1 Extensive property
2. Intensive property

Extensive Property

The properties that depend on the mass or size of the system, more clearly on the amount of substance are called as extensive properties. Examples: volume, number of moles, mass, energy, internal energy etc. The value of the extensive property is equal to the sum of extensive properties of smaller parts into which the system is divided. Suppose x1 ml, x2 ml,x3 ml of 1,2,3 gases are mixed in a system, the total volume of the system equals to (x1 + x2 + x3) ml. Thus volume is an extensive property.This could also help us on logical reasoning test

Thursday, August 5, 2010

Help on Percentage Formula

Today let me try to help you on one among the important formula in math that is percentage formula with out which math is incomplete.

The formula for percentage is the following and it should be easy to use:




We will take examples to illustrate.Let us start with the formula on the left

An important thing to remember: Cross multiply

It means to multiply the numerator of one fraction by the denominator of the other fraction. This could also help us on working out percentages

Example :

25 % of 200 is____

In this problem, of = 200, is = ?, and % = 25

We get:

is/200 = 25/100

Since is in an unknown, you can replace it by y to make the problem more familiar

y/200 = 25/100

Cross multiply to get y × 100 = 200 × 25

y × 100 = 5000

Divide 5000 by 100 to get y

Since 5000/100 = 50, y = 50

So, 25 % of 200 is 50

Wednesday, August 4, 2010

Introduction to Isosceles trapezoid


Introduction to Isosceles trapezoid:

In this section let me help you on isosceles trapezoid. Isosceles trapezoid is one of the type of quadrilateral with a line of symmetry bisecting one pair of opposite sides, make it automatically a trapezoid .Isosceles trapezoid a two-dimensional figure produced by relating four segments endpoint to endpoint with each segment intersecting exactly two others. Isosceles trapezoid also has four sides and four angles.

Sum of interior angle of any polygon is (n-2) *180o. Here isosceles trapezoid has four sides so interior angle is (4-2)*180o = 360o.Exterior angle of any polygon is 360o so the exterior angle of a quadrilateral is 360 degree. In this article we shall discuss about isosceles trapezoid.This could also help us on online fraction calculator.


The diagonals of an isosceles trapezoid are same. Diagonals divide each other into segments of the same length. The isosceles trapezoid PQRS has diagonals PR and QS have the same length (PR = QS).Intersect the diagonals at point O and diagonals are divide each other in segments of the same length (PO = SO and QO = RO).

Friday, July 30, 2010

Help on Arithmetic Progression.

Introduction for Arithmetic progression:

There are two types of progressions .They are arithmetic and geometric progression. An Arithmetic progression which consists of the sequence of numbers and the terms except the first can be obtained by adding one number to its preceding number. Arithmetic progression is denoted as two consecutive numbers arrangement of progression which is constant.
Examples for Arithmetic Progression

Example 1:

The sequence terms of an A.P. 6, 1, –4...Find the 10 th term.

Solution:

Consider the A.P in the form a, a + d, a + 2d, ...
Here, a = 6, d = 1 – 6 = –5, n = 12
tn = a + (n–1) d
t10 = 6 + (10 – 1) (–5) = 6 + 9 x (–5) = 6 – 45 = – 39
:. The 12th term is –39. This could also help us on elements and compounds
There are three types of Progression in math,
  • Arithmetic progression
  • Geometric progression
  • Harmonic progression

Wednesday, July 28, 2010

Introduction of coordinate plane graph paper

Introduction of coordinate plane graph paper:

In this section let me help you on coordinate plane graph paper. In mathematics, a graph is an abstract representation of a set of objects where some pairs of the objects are connected by links.

A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. This could also help us on touch math worksheets












The mathematical images like square, pentagon, hexagon, and rectangle can be easily plotted in the coordinate planes.

Sunday, July 25, 2010

Help on Conditional Probability

Conditional Probability

The conditional probability of an event B will be the probability that the event will occur given the knowledge that an event A has already occurred. This probability is written P(B|A), notation for the probability of B given A. In the case where events A and B are independent to the conditional probability of event B given event A is simply the probability of event B, that is P(B)..

Let us consider the events A and B are not independent, then the probability of the intersection of A and B (the probability that both events occur) is defined by
P(A and B) = P(A)P(B|A). This will also help us on how to calculate pi

From this definition, the conditional probability P(B|A) is easily obtained by dividing by P(A):

P(B|A)= P(A and B)/ P(A)

This expression is only valid when P(A) is greater than 0.

Thursday, July 22, 2010

calculating probability

Calculating Probability concepts and probability theorems is an interesting topic to debate with. The word Probability is something which we use on day today conversation.

In everyday life, we come across statements such as
(1) It will probably rain today.
(2) I doubt that he will pass the test.
(3) Most probably, Kavita will stand first in the annual examination.
(4) Chances are high that the prices of diesel will go up.
(5) There is a 50-50 chance of India winning a toss in today’s match. This will also help us on how to calculate probability

The words ‘probably’, ‘doubt’, ‘most probably’, ‘chances’, etc., used in the statements above involve an element of uncertainty. For example, in (1), ‘probably rain’ will mean it may rain or may not rain today. We are predicting rain today based on our past experience when it rained under similar conditions.

Tuesday, July 20, 2010

What is Algebra?


What is Algebra?
Alg
ebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorics, and number theory, algebra is one of the main branches of pure mathematics.



We Use Algebra Everyday?
Algebra is used everyday, all the time. It is used in problem solving situations
when you are trying to determine how long it will take you to get from your home to your friends house.
Algebra is much broader than elementary algebra and studies what happens when different rules of operations are used and when operations are devised for things other than numbers. Addition and multiplication can be generalized and their precise definitions lead to structures such as groups, rings and fields, studied in the area of mathematics called abstract algebra. sample algebra problem


Keep reading may be in the next session let me help you on algebra calculator online.

Friday, July 16, 2010

Problems on Circumference

Introduction on Circumference:
Circles are simple closed curves which divide the plane into two regions, an interior and an exterior. In everyday use, the term "circle" may be used interchangeably to refer to either the boundary of the figure (also known as the perimeter) or to the whole figure including its interior.
Circumference of a Circle:
The diagrammatic representation showing circumference of circle is shown:
-->
The Circumference of a circle can be calculated using the following formula:
Circumference = 2 ╥ r or ╥ d
where r ----> radius of circle
d ----> diameter of circle , r = d/2
Example Problems for Finding Circumference of Circle:
Following is the sample Problem on Circumference
1) Find the Circumference of a circle with radius 20 cm. Use 22/7 as pi value.
Solution:
Circumference of a circle = 2 r
= 2 (22/7) 20
= 2 (3.14) 20
= 125.6 cm

Tuesday, July 13, 2010

Introduction for free 3rd grade math:
When we study about 3rd grade math help we find may interesting topics to look in. In algebra basic arithmetic operation (addition, subtraction, multiplication, and division) generally used in day to day life. In these articles we are going to discuss about free 3rd grade math. Addition (+) defined as adding the two numbers. Subtraction (-) defined as the inverse of addition. Also helps in simplifying algebraic expressions.
3rd grade math – Addition example problems:
Following are the few examples on 3rd grade math
Example 1:
Adding the given values
89775 – 16654
Solution:
89775
16654 (+)
-----------
106429
----------
So, the final answer is 106429
Example 2:
If there are 192 tickets in a box and Joshua puts 49 more tickets inside, how many tickets are in the box?
Solution:
If there are 192 tickets in a box and Joshua puts 49 more tickets inside,
= 192 + 49
= 241 tickets
241 tickets are in the box.

Thursday, July 8, 2010

Note on Regular and Irregular Polygons

-->
Polygons:
In this lesson let me help you go through on regular and irregular polygon.
A simple closed figure bounded by three or more lines segments is called a polygon.
The line segments forming a polygon are called its sides. Polygons are named according to number of sides they possess.
Regular Polygon:
A polygon having all sides equal and all angles equal is called a Regular Polygon.
Examples: (i) An equilateral triangle is a regular polygon of 3 sides.
(ii) A square is a regular polygon of 4 sides.
Properties of a Regular Polygon:
1. In a regular polygon all interior angles are equal
2. In a regular polygon all exterior angles are equal.
3. A circle can be circumscribed about every regular polygon.
A circle can be inscribed in every regular polygon.
Irregular Polygon:
A polygon that is not a regular polygon , that is a polygon whose sides are not all the same length or whose angles are not of the same measure is called an Irregular Polygon
Perimeter of an Irregular Polygon:
The sum of all the sides’ lengths is called its perimeter.
Area:
There is no easy formula for the area of an irregular figure, we convert an irregular polygon to simple polygons and find the individual areas and the sum of the individual areas gives the area of the irregular polygon.