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Math
Algebra
Pre Algebra
Formulas - Set 2
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Gravity
Geometry areas and volumes
Terms in this set (25)
area of a rectangle
length x width
area of a square
s² (one side squared)
area of a circle
π * r²
polygon perimeter
sum of all sides
circumference
π x diameter
volume of a sphere
4/3
π
* r³
volume of a pyramid
area of base * height / 3
volume of a cylinder
(π
r²)
* h
area of a trapezoid
(b1 + b2)/2 * h
volume of a cone
1/3
(π
* r²) * h
area of a triangle
1/2 bh or bh/2
volume of (rectangular) prism
area of base x height
Pythagorean Theorem
a² + b² = c²
ratio of sides in a 30-60-90 triangle
s, s√3, 2s
ratio of sides in a 45-45-90 triangle
s, s, s√2
surface area of cube
one side length squared times 6
volume of a cube
lenth of one side cubed
surface area of a sphere
4 * πr²
surface area of a pyramid
area of each triangle face + area of Base
surface area of rectangular prism
2lw + 2lh + 2wh
surface area of a cylinder
2(πr²) + diameter(π)(h)
radians to degrees
multiply radians by 180/pi
degrees to radians
multiply degrees by pi/180
sector area of a circle
arc measure /360 * πr²
area of a rhombus
diagonal1*diagonal2 / 2
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Verified questions
PREALGEBRA
An analog clock can serve as a visual reference for twelfths. At 1 o'clock the hands mark off $$ \frac { 1 } { 12 } $$ of a circle; at 2 o'clock the hands mark off $$ \frac { 2 } { 12 } $$ of a circle, and so on. How many twelfths are in each of these fractions of a circle? $$ \frac { 1 } { 2 } , \frac { 1 } { 4 } , \frac { 1 } { 3 } , \frac { 1 } { 6 } $$ . Hint: Try holding each fraction piece at arm's length in the direction of the clock( as an artist might extend a thumb toward a subject.)
PREALGEBRA
A gift basket that contains jars of jam and packages of bread mix costs $45. There are 8 items in the basket. Jars of jam cost$6 each, and packages of bread mix cost $5 each. Write and solve a system of linear equations to find the number of each item in the gift basket.
PREALGEBRA
How much deeper is the deepest canyon on Mars than the deepest canyon on Venus? $$ \begin{matrix}\text{Elevations on Planets}\\ & \text{Lowest (ft)} & \text{Highest (ft)}\\\text{Earth} & \text{-36,198} & \text{29,035}\\\text{Mars} & \text{-26,000} & \text{70,000}\\\text{Venus} & \text{-9,500} & \text{35,000}\\\end{matrix} $$
PREALGEBRA
Nate’s mother wanted to buy some jewelry until she found out it was marked up 400%. If the original jewelry cost $100, what was the final price of the jewelry?