Properties of exponents
(2^3)^2
64
2(k-3) > 6 + 3k - 3
-9 > k
What is the definition of adjacent angles?
Two angles that share a vertex and a side.
What is the formula for solving the volume of a hemisphere?
1/3 × 4 × 3.14 × r3 ÷2
How do you find the hypotenuse of a right triangle?
The hypotenuse of a right triangle is the longest side and is opposite of the 90 degree angle.
(5^4)^2
390625
5(2-r) > 3(r-2)
r<8
Define alternate interior angles
Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.
What is the formula for finding the surface area of a sphere?
4 × 3.14 × r2
The perimeter of a square is 64 inches. What is it’s area?
The area of the square is 256ft^2.
(2^4)^2
256
t< 5t + 24
-6<t
Define supplementary angles
Angles that add up to 180 degrees
What is the surface area of a cone with a radius of 3 and a slant height of 4?
65.942
Two sides of a right triangle are 3 and 6. Find the hypotenuse using Pythagorean Theorem.
The hypotenuse is about 6.71
(6^3)^2
46656
2(3y - 2) >7y
-4>y
Define vertical angles
each of the pairs of opposite angles made by two intersecting lines.
What is the surface area of a triangular prism with a base sides of 3, 4, and 5 and a height of 8?
The surface area is 1082
If Kate triples her height, she will be as tall as if she added 147.5 inches to half of her height. How tall is Kate? Put your answer into feet,
Kate is 4 feet and 11 inches tall or 59 inches tall.
(80^2)^3
262144000000
Y+4=6y-3
0.71=y (rounded to tenth)
Define complementary angles
Angles that add up to 90 degrees
What is the surface area of a rectangular prism with a height of 2 and a base of 4 and 6?
88 units2
A leg of a triangle is 3 and the hypotenuse is 7. What is the length of the other side? Find it using Pythagorean theorem.
The missing leg is about 6.32 long.