What is the formula for the Pythagorean Theorem?
a2 + b2 = c2
What parts of the volume formulas for cones and pyramids are the same?
The both have a 1/3 and h (height) in them.
What are the formulas for the volume and surface area of a sphere?
What are the 4 types of transformations we have learned about this year?
Translations, Reflections, Rotations, Dilations
What is the difference between a simple probability, independent probability, and a dependent probability?
Simple = 1 event
independent = more than 1 event. Have no effect on one another.
dependent = more than 1 event. One outcome effects the others outcome.
Find the distance of the missing side.
10
Find the volume of the cone.
12.8 in3
Find the volume of the sphere.
523.3 cm3
What would the coordinates of the point A' be after a translation of 4 units down and 5 units left?
( -3 , -2 )
You flip a coin and roll a number cube. What is the probability of getting heads and then a 5 on the cube?
1/12 or 0.08 or 8%
Find the missing side length of the triangle.
19.5
Find the volume of the rectangular based pyramid.
224 cm3
Find the surface are of the sphere.
314.2 cm2
Which axis was figure abc reflected across to form figure a'b'c'?
y - axis
Greg has a spinner that has 4 equal parts. Each part has a different color: red, yellow, green, and blue. How many possible outcomes are there if he spins the spinner three times?
64
A ladder that is 15ft. long is resting against a wall. If the base of the ladder is 5ft. from the base of the wall, how far up the wall does the ladder reach?
14.1 ft.
A square house has a pyramid-shaped attic built under the roof, which you are converting into a spare bedroom. You are installing an air conditioner to cool the room. The area of the base of the room is 2,256.25 ft2, and the attic height is 6ft. How many cubic feet of air are in the empty attic?
4,512.5 ft3
Estimate the amount of air a beach ball with a radius of 6 inches can hold.
904.8 in3
What would be the same about figure WXYZ after a reflection across the x-axis and then a translation of 6 units right and 2 units up and then a rotation of 180o counterclockwise to form figure W'X'Y'Z'?
Everything except their position because they would be congruent figures.
A bag contains 9 blue marbles and 3 red marbles. Two marbles are drawn at random without replacement. What is the probability of drawing a blue marble and then another blue marble?
6/11 or 0.55 or 55%
Find the distance between point b and point c.
3.6
You have a cone and pyramid with heights of 4 meters. The cone has a diameter of 6 meters and the pyramid has a base area of 36 square meters. How many cubic meters bigger is the pyramid than the cone?
10.3 cubic meters
If a sphere has a surface area of 702 mm2 then what would the volume of the same sphere be?
1,766 mm3
Would there be a dilation of 4 or 1/4 from the pink triangle to the green triangle and how do you know?
A dilation of 1/4 because the pink triangle is getting smaller to form the green triangle.
Twelve people work together: four of them are managers and eight of them are office workers. Two people are chosen at random from the twelve members of the group. Calculate the probability that one is a manager and one is an office worker.
8/33 or 0.24 or 24%