Solve the problem.The area of a rectangular piece of cardboard shown is 612 square inches. The cardboard is used to make an open box by cutting a 2-inch square from each corner and turning up the sides. If the box is to have a volume of 832 cubic inches, find the dimensions of the cardboard that must be used.

A. 17 inches by 36 inches
B. 19 inches by 38 inches
C. 13 inches by 30 inches
D. 15 inches by 34 inches


Answer: A

Mathematics

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Calculate .A = 

A. 211 B. -75 C. -15 D. 15

Mathematics

Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.8 kilogram and ? = 45°? If necessary, round the answer to the nearest tenth of a Newton.

A. 5.5 N B. 5.3 N C. 5.6 N D. 6.7 N

Mathematics

Determine the degree of the polynomial.2t6 + 3t3 + 3 - 5t2

A. 11 B. 12 C. 6 D. 4

Mathematics

Perform the indicated operations.(8a - 8b)(5a + 9b)

A. 40a2 + 72ab - 72b2 B. 40a2 + 32ab - 72b2 C. 40a2 - 40ab - 72b2 D. 40a2 + 32ab + 32b2

Mathematics