For a circle of radius 8 ft, find the arc length of a central angle of 6°

The formula for arc length is s = r * theta, where theta is the central angle

in radians (not degrees).

Converting that 6° central angle to radians,

pi rads pi rads

(6°) * = = 0.1047 rads

180° 30

Then the arc length here is s = r * theta, or s = (8 ft)(0.1047 rads) = 0.838 ft

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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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