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perimeter of any polygon:
the sum of the sides lengths
squares from 1²- 12²
1²=1, 2²=4, 3²=9, 4²=16, 5²=25, 6²=36, 7²=49, 8²=64, 9²=81, 10²=100, 11²= 121, 12²= 144
cubes from 1³-5³
1³=1, 2³=8, 3³=27, 4³=64, 5³=125
PE(MD)(AS)
work from left to right
area and perimeter of a square
a= s², p=4s
gcd/ (7,14)
two integers is the largest integer that divides evenly into both; 7
lcm/ (7,14)
two integers is the smallest integer that is evenly divisible into both; 14
area and perimeter of a rectangle
a= l*w, p=2l+2w
triangle perimeter
p= side 1+ side 2 + side 3
isosceles
triangle has exactly two sides of equal length
equilateral
triangle has three sides of equal length and all angles are 60 degrees
triangle area
a=1/2 bh
decimal representations of common factors
1/5= 0.2, ½ = 0.5, 1/4=0.25, 1/3=0.3(repeating), 2/3=0.6(repeating), 3/4= 0.75
trapezoid area
A= ½ (b1+b2)*h
simple interest
the amount of money you make in interest, I, when investing P dollars in non compounding investment with interest rate r overtime t is: I=Prt
Price change formulas
amount of discount= discount rate *original price
new price= original price - discount price
amount of markup= markup rate* original price
new price= price+markup price
uniform motion
an object moving a constant rate r in a straight line for time t will go a distance: d=rt
In any setting a constant rate we have
new amount= starting amount+rate*time
the angle in any triangle sum to
180 degrees