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Wheel 1 has diameter 28.9 in. Wheel 2 has a diameter 23.4 in. Round the diameter of each wheel to the nearest inch. About how much farther will Wheel 1 travel in rotation? Use 3.14 for pie.

Respuesta :

Answer:

19 Inch

Step-by-step explanation:

  • Wheel 1 has diameter 28.9 in.
  • Wheel 2 has a diameter 23.4 in

To the nearest Inch

  • Diameter of Wheel 1 = 29 inch
  • Diameter of Wheel 2 = 23 inch

The Distance Traveled in 1 rotation by each wheel is defined by its circumference.

Circumference of a Circle = [tex]\pi d[/tex]

  • Distance Traveled by  Wheel 1 in 1 rotation= [tex]29\pi[/tex]
  • Distance Traveled by  Wheel 2  in 1 rotation = [tex]23\pi[/tex]

We are given [tex]\pi =3.14[/tex]

Difference in the Distance Traveled  =[tex]29\pi -23\pi=6 \pi=6 X 3.14=18.84[/tex]

=19 inch (to the nearest inch)

Wheel 1 will travel approximately 19 inch farther than wheel 2 in 1 rotation.

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