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(05.01 MC) If the cos 23° = , then the sin 67° = _____.

(05.01 MC) If the cos 23° = , then the sin 67° = _____.

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(05.02 HC) Elliott is standing at the top of a store escala…

(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 36.84°, and the escalator is 15 feet long. How far is the top of the escalator from the ground floor? Round your answer to the nearest foot.

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(06.03 MC) A large diamond with a mass of 2138.7 grams was r…

(06.03 MC) A large diamond with a mass of 2138.7 grams was recently discovered in a mine. If the density of the diamond is 3.51 , what is the volume? Round your answer to the nearest hundredth.

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(07.02 LC) ABCD is a quadrilateral inscribed in a circle, as…

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

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(06.02 MC) Ellis is painting wooden fenceposts before puttin…

(06.02 MC) Ellis is painting wooden fenceposts before putting them in his yard. They are each 6 feet tall and have a diameter of 1 foot. There are 12 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 12 fenceposts? Use 3.14 for π, and round your answer to the nearest hundredth. Provide an explanation and proof for your answer to receive full credit.

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(06.02 MC) Cylinder A has a radius of 8 inches and a height…

(06.02 MC) Cylinder A has a radius of 8 inches and a height of 3 inches. Cylinder B has a volume of 96π. What is the percentage change in volume from cylinder A to cylinder B?

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(06.01 HC) Pyramid A is a square pyramid with a base side le…

(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.

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(07.03 LC) A circle is represented by the equation below: (x…

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

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(06.01 LC) The volume of a pyramid that fits exactly inside…

(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?

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(06.04 HC) A figure is located at (2, 0), (2, −2), and (6, 0…

(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.

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