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A rope is swinging in such a way that the length of the arc traced by a knot at its bottom end is decreasing geometrically. If the third arc is 18 it long and theseventh arc is 8 ft. long, what is the length of the arc on the sixth swing? Round your answer to the nearest tenth of a foot.O A 14.7ftOB. 12.0 ft.O C. 10.5 ftO D. 9.8 ft.

A rope is swinging in such a way that the length of the arc traced by a knot at its-example-1

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The length of the arc on the sixth swing is

STEP - BY - STEP EXPLANATION

What to find?

The length of the arc on the sixth swing.

Given:

length of third arc = 18 ft

length of 7t

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