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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°
21°
35°
42°

Explanation:

Step1: Calculate the rotation per minute

A full revolution is \(360^{\circ}\) and it takes 60 minutes. So the rotation per minute is \(\frac{360^{\circ}}{60}=6^{\circ}\) per minute.

Step2: Calculate the rotation after 7 minutes

Multiply the rotation per minute by 7. So \(6^{\circ}\times7 = 42^{\circ}\)

Answer:

D. \(42^{\circ}\)