Solve the problem.A ramp leading to the entrance of a building is inclined upward at an angle of 8°. A suitcase is to be pulled up the ramp by a handle that makes an angle of 34° with the horizontal. How much force must be applied in the direction of the handle so that the component of the force parallel to the ramp is 50 lbs.?

A. 8.573 lbs
B. 55.66 lbs
C. 44.94 lbs
D. 59.72 lbs


Answer: D

Mathematics

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Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Asymptotes y = x, y = - x; one vertex is (0, 22)

A.  -   = 1
B.  -   = 1
C.  -   = 1
D.  -   = 1

Mathematics

Perform the indicated operations.

A. 0.00024 B. 0.0024 C. 0.24 D. 0.024

Mathematics

Solve the problem.In a certain town the annual consumption, b, of beef (in pounds per person) can be estimated by  where t is the number of years since 2010. What is the slope of the graph of this function? Write a sentence interpreting this value.

A. 35; The average consumption of beef in this town is increasing by 35 pounds per person per year. B. 35; The average consumption of beef in this town is decreasing by 35 pounds per person per year. C. -0.4; The average consumption of beef in this town is decreasing by 0.4 pounds per person per year. D. -0.4; The average consumption of beef in this town is increasing by 0.4 pounds per person per year.

Mathematics

Find the volume specified. Use 3.14 as the approximate value of ?, and round your answer to the nearest tenth.Find the volume of an ice cream cone (right circular cone) of radius 5 cm and height 9 cm topped by a perfect hemisphere of ice cream of the same radius.

A. 758.9 cm3 B. 261.7 cm3 C. 497.2 cm3 D. 732.7 cm3

Mathematics