Solve the problem.One rope pulls a barge directly east with a force of 40 N, and another rope pulls the barge directly north with a force of 82 N. Find the magnitude of the resultant force acting on the barge.

A. 3300 N
B. 122 N
C. 42 N
D. 91 N


Answer: D

Mathematics

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A. ? B. ?

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Find the limit.sec x

A. 0 B. -? C. ? D. 1

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Parallel lines are cut by the transversal shown. Determine the measures of the requested angles.If m?6 = 115°, determine the measures of the other angles.

A. m?5 = m?7 = m?8 = 115° , m?1 = m?2 = m?3 = m?4 = 65° B. m?2 = m?4 = m?8 = 115° , m?1 = m?3 = m?5 = m?7 = 65° C. m?2 = m?4 = m?8 = 115° , m?1 = m?3 = m?5 = m?7 = 75° D. m?2 = m?4 = m?8 = 115° , m?1 = m?3 = m?5 = m?7 = 25°

Mathematics

Solve the problem.Check whether the sequence is arithmetic. If the sequence is arithmetic, find the common difference d.5, -15, 45, -135, 405, ...

A. arithmetic, d = 5 B. not arithmetic

Mathematics