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

∵ 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

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180