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a clock is constructed using a regular polygon with 60 sides. the polyg…

Question

a clock is constructed using a regular polygon with 60 sides. the polygon rotates each minute, making one full revolution each hour. how much has the polygon rotated after 7 minutes? 14°, 42°, 35°, 21°

Explanation:

Step1: Find rotation per minute

A full revolution is \(360^\circ\) in 60 minutes. Rotation per minute: \(\frac{360^\circ}{60} = 6^\circ/\text{min}\).

Step2: Calculate rotation after 7 minutes

Rotation = \(6^\circ/\text{min} \times 7\ \text{min} = 42^\circ\).

Answer:

42°