Force of 55 pounds. How much work is done in moving the cart 30 feet if the cart's handle makes an angle of 19° with the ground? Round your A person is pulling a freight cart with
answer to the nearest tenth.

Please help!!!

Explanation:

Refer to the diagram below. The angle theta is the angle of elevation formed between the horizontal line and the diagonal force being applied (the pulling force). Let x be the horizontal component pulling force, which is the horizontal portion of the right triangle. We know the hypotenuse of this triangle is 55 pounds as it is the force applied.

Use the cosine ratio to help solve for x. Make sure your calculator is in degree mode.

cos(angle) = adjacent/hypotenuse

cos(19) = x/55

x/55 = cos(19)

x = 55*cos(19)

x = 52.0035216579624 which is approximate

Roughly 52.0035216579624 pounds of force is being applied in a pure horizontal direction. The cart moves 30 feet, so,

work = (force)*(displacement)

work = (52.0035216579624)*(30)

work = 1560.10564973888

work = 1560.1 foot-pounds

A foot-pound is a unit of work, similar to how a joule is as well (though a joule measures in kilograms and meters)

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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