Let a1,a2,a3,......,an be a set of numbers, average = (a1 + a2 + a3,+......+ an)/n

Fractions formulas:

Converting a mixed number to an improper fraction:

Converting an improper fraction to a mixed number:

Formula for a proportion:

In a proportion, the product of the extremes (ad) equal the product of the means(bc),

Thus, ad = bc

Percent:

Percent to fraction: x% = x/100

Percentage formula: Rate/100 = Percentage/base

Rate: The percent.
Base: The amount you are taking the percent of.
Percentage: The answer obtained by multiplying the base by the rate

Consumer math formulas:

Discount = list price × discount rate

Sale price = list price − discount

Discount rate = discount ÷ list price

Sales tax = price of item × tax rate

Interest = principal × rate of interest × time

Tips = cost of meals × tip rate

Commission = cost of service × commission rate

Geometry formulas:

Perimeter:

Perimeter of a square: s + s + s + s
s:length of one side

Perimeter of a rectangle: l + w + l + w
l: length
w: width

Perimeter of a triangle: a + b + c
a, b, and c: lengths of the 3 sides

Area:

Area of a square: s × s
s: length of one side

Area of a rectangle: l × w
l: length
w: width

Area of a triangle: (b × h)/2
b: length of base
h: length of height

Area of a trapezoid: (b1 + b2) × h/2
b1 and b2: parallel sides or the bases
h: length of height

volume:

Volume of a cube: s × s × s
s: length of one side

Volume of a box: l × w × h
l: length
w: width
h: height

Volume of a sphere: (4/3) × pi × r3
pi: 3.14
r: radius of sphere

Volume of a triangular prism: area of triangle × Height = (1/2 base × height) × Height base: length of the base of the triangle
height: height of the triangle
Height: height of the triangular prism

Volume of a cylinder:pi × r2 × Height
pi: 3.14
r: radius of the circle of the base...

...Opposite
Cot = 1/tan
Sec= 1/sin
Csc = 1cos
Special rules
| 300 | 450 | 600 |
Sin | 12 | 12 | 32 |
Cos | 32 | 12 | 12 |
tan | 13 | 1 | 2
2
3
300
600
1
1
3 |
2
450
1
1
Area of triangle
There is an basic formula for finding the area of a triangle A=12BH but I’m going to look at how to find the area of a triangle WITHOUT the base OR the height.
X
Y
Z
As long were are given x,y AND z we can find the area of this triangle without...

... h and k in
f(x)= a(x-h)2 + k
1.6 Determine the “zeros of a quadratic function” by relating this to “roots of a quadratic equation”
1.7 Find the roots of a quadratic equation by:
* factoring
* quadratic formula
* completing the square
1.8 Derive the quadratic function given:
* zeros of the function
* table of values
* graph
1.9 Solve problems involving quadratic functions and equations
D. Polynomial...

...The Euler’s Formula
Euler’s formula and Identity: eix = cos(x) + i(sin(x))
The world of math today is one with endless possibilities. It expands into many different and interesting topics, often being incorporated into our everyday lives. Today, I will talk about one of these topics; the most mind-blowing and fascinating formula invented, called the “Euler’s formula”. This formula was created and...

...- Politeness formulas in Arabic:
When talking about politeness formulas in Arabic and in English and how they are different, it is crucial to take into account the distinction between propositional content of a formula and its illocutionary force potential. A good example showing the relationship between semantic content or propositional content and illocutionary force illustrates in using congratulations in English and “shukran” in Arabic...

...benefits of different types of formula that are commonly available
Breast milk is a natural form of baby food which is perfect for a baby. But there are some people who for different reasons can’t breastfeed, or have chosen not to, formula milk is the next best thing.
Scientists and medical experts have spent years developing high-quality formula milks that will provide babies with the specific nutrition that they need.
There are many...

...Marketing Research Project
Pricing strategy for ‘Formula One India Racing Event’ for Retail Customers
Table of Contents
1. Marketing Research Objective: 3
2. Introduction 3
3. Mode of survey 5
4. Survey Questionnaire 6
5. References 8
1. Marketing Research Objective
What should be optimal price for different classes of tickets at ‘Formula One India Racing Event’ for Retail Customers?
1. Introduction
Formula One is the...

...
In Mathematics, a periodic function is a function that repeats its values in regular intervals or periods. Periodic functions are used throughout science to describe oscillations, waves, and other phenomena that exhibit periodicity.
Periodic functions are those that repeat on a set interval. All trigonometric functions are periodic. They are useful because one can determine the value of the function anywhere in the domain. If a function is periodic, then there is some value n for...