(07.03 LC) A circle is represented by the equation below: (x + 2)2 + (y − 4)2 = 225 Which statement is true?

(06.01 LC) The volume of a pyramid that fits exactly inside a cube is 9 cubic feet. What is the volume of the cube?

(06.04 HC) A figure is located at (2, 0), (2, −2), and (6, 0) on a coordinate plane. What kind of 3-D shape would be created if the figure was rotated around the x-axis? Provide an explanation and proof of your answer to receive full credit. Include the dimensions of the 3-D shape in your explanation.

(06.02 MC) Cylinder A has a radius of 10 inches and a height of 5 inches. Cylinder B has a volume of 750π. What is the percentage change in volume from cylinder A to cylinder B?

(07.03 LC) Circle A has center of (4, 6) and a radius of 5, and circle B has a center of (1, 0) and a radius of 15. What steps will help show that circle A is similar to circle B?

(07.01 MC) Lines CD and DE are tangent to circle A, as shown below: If is 125°, what is the measure of ∠CDE?

(06.04 MC) If a rectangular cross-section with coordinates at (1, 1), (1, 4), (3, 4) and (3, 1) is rotated about the line y = 1, what will be the resulting three-dimensional object?

(06.03 LC) There are 420 pennies in a 12-ounce jar. How many pennies are there per ounce in the jar?

(06.01 HC) Cone W has a radius of 6 cm and a height of 5 cm. Square pyramid X has the same base area and height as cone W.Paul and Manuel disagree on the reason why the volumes of cone W and square pyramid X are related. Examine their arguments. Which statement explains whose argument is correct and why? Paul Manuel The volume of square pyramid X is equal to the volume of cone W. This can be proven by finding the base area and volume of cone W, along with the volume of square pyramid X. The base area of cone W is π(d) = π(12) = 37.68 cm2. The volume of cone W is (area of base)(h) = (37.68)(5) = 62.8 cm3. The volume of square pyramid X is (area of base)(h) = (37.68)(5) = 62.8 cm3. The volume of square pyramid X is equal to the volume of cone W. This can be proven by finding the base area and volume of cone W, along with the volume of square pyramid X. The base area of cone W is π(r2) = π(62) = 113.04 cm2. The volume of cone W is (area of base)(h) = (113.04)(5) = 188.4 cm3. The volume of square pyramid X is (area of base)(h) = (113.04)(5) = 188.4 cm3.

(06.02 MC) The picture shows a container that Sue uses to freeze water: What is the minimum number of identical containers Sue would need to make 2,000 cm3 of ice? (Use π = 3.14.)