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(05.02 HC) Elliott is standing at the top of a store escalator that leads to the ground floor below. The angle of depression from the top of the escalator to the floor is 39.81°, and the escalator is 15.5 feet long. How far is the top of the escalator from the ground floor? Round your answer to the nearest foot.

(06.01 HC) Pyramid A is a square pyramid with a base side length of 14 inches and a height of 6 inches. Pyramid B has a volume of 3,136 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit.

(06.04 MC) Find the total surface area of a cylinder with a height of 7 cm and radius of 3 cm. Leave your answer in terms of π.

(06.01 HC) Pyramid A is a square pyramid with a base side length of 18 inches and a height of 9 inches. Pyramid B has a volume of 3,136 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit.

(07.03 MC) Using the following equation, find the center and radius: x2 + 4x + y2 − 6y = −4

(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.

(06.04 MC) Find the total surface area of a cylinder with a height of 8 cm and radius of 4 cm. Leave your answer in terms of π.

(06.03 MC) A hot air balloon holds 1,592 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter. How many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram?

(06.02 LC) Snowy’s Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone that has a spherical piece of bubble gum nested at the bottom of the cone. The radius of the snow cone is 4 inches, and the height of the cone is 6 inches. If the diameter of the bubble gum is 0.8 inches, which of the following can be used to calculate the volume of the cone that can be filled with flavored ice?

(07.02 LC) ABCD is a quadrilateral inscribed in a circle, as shown below: What equation can be used to solve for angle A?