Solve the problem.A tightrope walker located at a certain point deflects the rope as indicated in the figure. If the weight of the tightrope walker is 115 pounds, how much tension is in each part of the rope? Round your answers to the nearest tenth. 

A. tension in the left part: -120.3 lb;
tension in the right part: 57.7 lb
B. tension in the left part: -142.9 lb;
tension in the right part: 68.6 lb
C. tension in the left part: -608.9 lb;
tension in the right part: -616.4 lb
D. tension in the left part: 881.3 lb;
tension in the right part: 892.1 lb


Answer: C

Mathematics

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Evaluate the integral.

A. 9 ln  -  cos2 x + C
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C. 9(ln  + sin x) + C
D. 9 ln  -  sin x + C

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Provide an appropriate response.In oblique triangle ABC, find the indicated part. Round to the nearest tenth.  Side a = 10, side b = 8, and side c = 5; find angle A.

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Solve the problem.A one-story building is 320 feet by 110 feet. If a square patio with sides 24 feet occupies the center of the building, how much area remains for offices?

A. 860 ft2 B. 764 ft2 C. 836 ft2 D. 34,624 ft2

Mathematics

Let x represent one number and let y represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers.The difference between the squares of two numbers is 112. Twice the square of the second number subtracted from the square of the first number is . Find the numbers.

A. 11 and 3, -11 and 3, or 11 and -3 B. 11 and 3 C. 11 and 3, -11 and 3, 11 and -3, or -11 and -3 D. 11 and 3 or -11 and -3

Mathematics