Precalculus help

Introduction to geometry formula sheet:
The Geometry formula sheet which are deals with size and shape of planes, points, solids etc. In geometry, points are Zero-dimensional shaped formed one which means the height, length, and width is not here. Line is nothing but a one-dimensional figure.
When compare to point it's length , but there is no width and height. A single line is made up of an infinite number of points. In the geometry formula sheet, it consists of classifications of formulas which are having area and perimeter of shapes and also has volume and surface area for the solids.
Formula sheet for area and perimeter:

Area and perimeter formula for square is,

Area = a²

Perimeter = 4a

Area and perimeter formula for Rectangle is,

Area = lw = length x width

Perimeter = 2(l +w)

Area and perimeter formula for Triangle is,

Area = bh = x base x height

Perimeter = a + b + c

Area and perimeter formula for Circle is,

Area = Πr²

Perimeter = 2Πr

Formula sheet for volume (V) and surface area (SA) of solids:

Volume and surface area for Cube is,

Volume = a³

Surface area = 6a²

Volume and surface area for Rectangular Prism is,

Volume = lwh = length x width x height

Surface area = 2lw + 2hw + 2lh

Volume and surface area for General Prisms is,

Volume = Bh = area of base x height

Surface area = sum of the areas of the faces

Volume and surface area for Sphere is,

Volume = 4Πr³

Surface area = (4/3) Πr²

^{However for more with Math problem}

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Introduction to frequency polygon:
Linking of the all the center points of the top of the bars of a histogram in the line graph is the frequency polygon. Two final point of the line in the x axis is always the frequently polygon. The origin of the frequency polygon is the o. let we see the detailed explanation of the frequently polygon.

Frequency Polygon:

The frequency polygon to use to know the distribution of the shapes is graphical device. But are particularly helpful in evaluate sets of information also provide the similar purpose as histograms .To create frequency distributions used the good option is the frequency polygon.
To make a frequency polygon, begin now as for histograms, by decide a class interval. In your data the range of the score is point out to the x-axis. The frequency class is representing as the y axis and makes it with the center value indicating by the group. Draw the Y-axis to point to the frequency of all class. Position a point in the center of all class intervals at the height matching to its frequency.
Lastly, attach the points. You must containing single class interval under the lowly value in your information and one above the uppermost value.

Example of the Frequency Polygon:

Example :
The 642 psychology analysis scores for frequency polygon. The starting point of the x axis value is the 40. This indicating the interval expands from 30 to 40.Need to be Step forward to math Since the smallest analysis scores is 50, this frequency interval is the 0. The position 45 represents the interval from the 40 to 50.

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Introduction of linear pair:

The method of finding the value of the unidentified amount for which the equation is right, is called solving the equation. The value so establish is called the root or solution of the linear equation. An algebraic declaration, that do purpose of adding, subtraction, multiplication, and division. A linear pair is of the format (x, y) where x and y are numbers.

The Process of Solving Linear Equations:

• Addition property: If equally sides of an equation is added to some digits, then the equality of the equation leftovers unchanged.

i.e., if x = y then x + a = y + a

Do you know what is a linear equation....?

• Subtraction property: If equally sides of an equation is subtracted to some digits, then the equality of the equation leftovers unchanged.

i.e., if x = y, then x - a = y - a

• Multiplication and division property: The following are also true.

Where ‘a’ is a non-zero constant.Here you find Only mathematics

Math is a Game

Introduction to Answers for Even Number
All numbers are called Integers.
Natural Number starts from 1,2,3,........
Whole number starts from 0,1,2,...........
Integers have no starting and ending
......................-3,-2,-1,0,1,2,3,...............................
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Prime numbers
Prime numbers cannot be divided by other numbers except 1 and the number itself
Example 2,3,5,7,11,13,17,19.....................

Composite numbers

Composite numbers are numbers which can be divided by more than 1 number except 1 and the number itself
The number which has more than one factor is called composite number.
Example: 4 is a composite number
The factors of 4 are 1 , 2 , 4
so here except the number 1 and itself it has one more factor.The factor is 2
So it is called as composite number
In simple words it is explained as except the prime number all the other numbers are called composite numbers
1 is neither prime number nor composite number.

Even Numbers

• Even numbers are numbers which ends with 0,2,4,6,8
• Odd numbers are 1,3,5,7,9
• Odd number and even numbers comes in alternative.
• All the even numbers are divisible by 2
• Every alter number is an even number only.
• The multiples of the answers of the table such as 2 , 4 , 6 , 8 , 10 , 12 ends with an even number alone.
• Even numbers can be found by two ways
• Ensure you enrich maths

• The first method is the number which are ends with 0,2,4,6,8 are even numbers
• Another method is we can divide the number by 2. if we get remainder as zero then the number is an even number
• Suppose if the remainder is 1 then it is not an even number
• Do you need help with Number learning

Math problems help

Give, the parallelogram ABCD in that FBED is a square. Calculate the perimeter of ABCD if BD = 8√2 and AB = 10.

Are you thinking how to get solve geometry answers

a) 24 units

b) 36 units

c) 48 units

d) None of the above

Answer: geometry homework help free

Since FBED is a square, BF = FD and Triangle BFD is a 45-45-90 triangle.

Since Triangle BFD is a 45-45-90 triangle, s = 8. Then AF can be found solved geometry problems with the Pythagorean Theorem.

a² + b² = c² --> a² + 8² = 10² --> a² = 36 --> a = 6 --> AF = 6

= AB + BC + CD + DA = 10 + 14 +10 + 14 = 48 units

Dividing Decimals

Introduction to Dividing Decimals

Before knowing the division of decimals ,first let us know what are decimals. Any proper fraction or improper fraction can be expressed in terms of decimals. The part of the fraction which is obtained when the numerator of the fraction is divided by the denominator of the fraction is expressed as decimals.

You may also get some useful information on perimeter of a rectangle
Any decimal number has ten as its base. Example : 5/10 = 0.2.
Now Dividing Decimals can be explained in two ways.
1) by dividing a decimal number by a whole number
2) by dividing a decimal number by a decimal number

Example for Dividing Decimals by Whole Numbers

Dividing Decimals by whole numbers can be explained by the following example.
In order to divide the given decimal number by the given whole number we have 2 steps to follow:
Step 1 : Use Long Division method to divide the given decimal number ignoring the decimal point.
Step 2 :After that put the decimal point in the same place value as the dividend has before.
Get useful tips on Division of fractions

A word problem on algebra linear equations

Equations play a crucial role in modern mathematics and form the basis for mathematical modeling of numerous phenomena and processes in science and engineering.

The international scientific-educational website linear equations explained World presents extensive information on solutions to various classes of ordinary differential, partial differential, integral, functional, and other mathematical equations. It also outlines a thing that solves algebra equations, includes interesting articles, gives links to mathematical websites and software packages, lists useful handbooks and monographs, and refers to scientific publishers, journals, etc. The website includes a dynamic section Equation Archive which allows authors to quickly publish their equations (differential, integral, and other) and also exact solutions, first integrals, and transformations.

Let's see a word problem from 8th grade word problems worksheets.

Question:-

Jack is thinking two positive numbers.one of them is 4 more than the other and the sum of their squares is 208.what are the two numbers?

Answer:-

Let one number be x.

the other number is 4 more ,x+4

given sum of the squares =208

x²+(x+4)²=208

x²+x²+8x+16=208

expanding the 2nd term

2x²+8x+16=208

dividing by 2 as it is common for all terms

x²+4x+8=104

subtract 104 on both sides

x²+4x-96=0

x²+12x-8x-96=0

x(x+12)-8(x+12)=0

(x+12)(x-8)=0

x=-12 or x=8

here we want only positive number ,so x=8

and the numbers are 8 and 12