Solve the problem.Two forces of magnitude 25 pounds and 40 pounds act on an object. The force of 40 lb acts along the positive x-axis, and the force of 25 lb acts at an angle of 80° with the positive x-axis. Find the direction and magnitude of the resultant force. Round the direction and magnitude to the nearest whole number.

A. Direction: 29°; magnitude: 51 lb
B. Direction: 51°; magnitude: 51 lb
C. Direction: 40°; magnitude: 47 lb
D. Direction: 4°; magnitude: 65 lb


Answer: A

Mathematics

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Solve.Important news is said to diffuse through an adult population of fixed size L at a time rate proportional to the number of people who have not heard the news. Eight days after a scandal in the mayor's office was reported, a poll showed that half of the people had heard about it. How long will it take for 94% of the people to hear about it?

A. 34 days B. 29 days C. 35 days D. 32 days

Mathematics

Graph.9x2 - y2 = 144

A.

B.

C.

D.

Mathematics

Solve the application problem.One way to gauge whether a person may need to gain or lose weight is to use the body-mass index, which is calculated using the formula , where w is the weight in pounds and h is the height in inches. Doctors recommend that body-mass index values fall between 19 and 25. If a person is 5 ft 8 in. tall and has a body-mass index of 24, what should his or her weight be? (Round to the nearest pound.)

A. 157 lb B. 148 lb C. 115 lb D. 155 lb

Mathematics

Provide an appropriate response.Solve for x: log6 x = 3

Fill in the blank(s) with the appropriate word(s).

Mathematics