Answer :

Ashraf82

Answer:

The bike will travel about 75 feet when the wheel makes 15 complete rotation

The wheel will make 8 rotations if Noha rides 40 feet

Step-by-step explanation:

The distance that a wheel can make in one rotation equal the circumference of the wheel

D = C × n, where

  • D is the distance
  • C is the circumference
  • n is the number of the complete rotation

Let us use this fact to solve the question

∵ The circumference of the wheel  C = 5 feet

∵ The wheel makes 15 complete rotation

→ Substitute them in the rule above to find the distance

∵ D = 5 × 15

D = 75 feet

The bike will travel about 75 feet when the wheel makes 15 complete rotation

∵ Noha rides for 40 feet

∴ D = 40

∵ C = 5 feet

→ Substitute them in the rule above to find the number of the rotation

∵ 40 = 5 × n

∴ 40 = 5n

→ Divide both sides by 5 to find n

∴ [tex]\frac{40}{5}=\frac{5n}{5}[/tex]

8 = n

The wheel will make 8 rotations if Noha rides 40 feet

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