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A rotating wind turbine has a diameter of about 84 feet and its circumference is about 264 feet. A smaller model of the turbine has a circumference of about 9 feet. What will the diameter of the model been feet? If necessary, round to the nearest whole number

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Answer:

3 feet.

Step-by-step explanation:

Solve

  • Set up a proportion using the given information for the turbine and its model.

C /d

=  

C /d

  • Set up a proportion.

264 /84  =  

9/ d

  • Substitute the given values.

264 ÷ 28

84 ÷ 28  ≈  

9/ d

Since 264 divided by 28 is approximately 9, divide 84 by 28 to find the value of d.

264 /84  ≈  

9 /3

 

d ≈ 3

The diameter of the model is approximately 3 feet.