A unicycle wheel has a diameter of 16 inches. How many inches will the unicycle travel in 7 revolutions? Use π = 3.14 and round your answer to the nearest hundredth of an inch.

The unicycle will travel 351.68 inches in 7 revolutions

Step-by-step explanation:

The circular shape moves a distance equal to its circumference in each revolution, then the rule of the distance of the circular shape travels n turns is D = π d n, where

d is the diameter of the circular shapen the number of revolution

∵ A unicycle wheel has a diameter of 16 inches

∴ d = 16 inches

∵ The unicycle will travel 7 revolutions

∴ n = 7

→ Substitute them in the rule of the distance above

∵ D = π(16)(7)

∵ π = 3.14

∴ D = 3.14(16)(7)

∴ D = 351.68 inches

→ No need to round it, it is in the hundredth of an inch

∴ The unicycle will travel 351.68 inches in 7 revolutions

You would use the Law of Sines here.  First realize that if A and B equal 35 and 65 respectively, C=180-65-35=80°.  Then from the Law of Sines:

b/sin65=15/sin80

b=15sin65/sin80

b≈13.8 units (to the nearest tenth of a unit)