Solve the problem using matrices.Jerry has 3 pieces of string. The total length is 86 inches. The sum of the two longer pieces is 73. The middle piece is twice as long as the shortest piece. What are the lengths of the 3 pieces?

A. No solution
B. 6.5, 13, and 66.5 inches
C. 13, 47, and 57 inches
D. 13, 26, and 47 inches


Answer: D

Mathematics

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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 ? = 30°? If necessary, round the answer to the nearest tenth of a Newton.

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Graph the circle.(x - 2)2 + (y - 2)2 = 9

A.

B.

C.

D.

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