Solve the problem.One rope pulls a barge directly east with a force of 52 N, and another rope pulls the barge directly north with a force of 81 N. Find the magnitude of the resultant force acting on the barge.

A. 29 N
B. 133 N
C. 4200 N
D. 96 N


Answer: D

Mathematics

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Solve the problem.A survey of a group of 115 tourists was taken in St. Louis. The survey showed the following:66 of the tourists plan to visit Gateway Arch;50 plan to visit the zoo;11 plan to visit the Art Museum and the zoo, but not the gateway Arch;14 plan to visit the Art Museum and the Gateway Arch, but not the zoo;19 plan to visit the Gateway Arch and the zoo, but not the Art Museum;8 plan to visit the Art Museum, the zoo, and the Gateway Arch;14 plan to visit none of the three places.How many plan to visit the Art Museum only?

A. 101 B. 12 C. 38 D. 50

Mathematics

Use the graph to complete the identity. = ? 

A. cot 3x B. tan 5x C. tan 2x + tan 8x D. -cot 3x

Mathematics

Find a Cartesian equation for the parametric equations.x = t - 3, y = t2 + 5

A. y = x2 - 6x - 14 B. y = x2 + 14 C. y = x2 - 14 D. y = x2 + 6x + 14

Mathematics

Solve the problem.The ending balance from Randy's check register is $1181.37. Find the current balance in Randy's checking account using the information given below.

A. $1160.12 B. -$3731.30 C. $1178.87 D. -$3710.05

Mathematics