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kogti [31]
2 years ago
10

The tires of a tractor are 4.5 feet tall. How many 360-degree rotations do the tires make when the tractor travels 170 feet? Rou

nd your answer to the nearest whole number.
Mathematics
1 answer:
slavikrds [6]2 years ago
5 0
Hello! 

Ok so we have a tire 4.5ft in diameter. We want to know how many revolutions it makes in 170ft

So we have s=r*theta where s is arc length or distance traveled and r is the radius and theta is the angle in radians that it travels through, and this is what we want to know. We are given the rest so we have;

170ft=4.5ft/2 * theta so solving for theta we get 

theta=340ft/4.5ft = 75.56 radians so now we just convert radians to revolutions and we know pi=3.14rad and 2pi is one rev and to convert to degrees its radians*( 360/2pi)=deg and this reduces to 180/pi so we have;


75.56radians * 180/pi = 4329 degrees travelled through so to get revolutions we now just divide this by 360deg for total revs. So we have;

4329deg/360deg=12 revolutions

Hope this helps! Any questions please ask! Thank you so much!
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Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
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He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

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8 0
2 years ago
1. Which situation does NOT represent a functional relationship?
Alex

Answer:

  • 1. D
  • 2. C

Step-by-step explanation:

1. .....................................................................................................

A. This is a functional relationship as the number of workers depend on the number of job sites.

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B. This is a functional relationship as the amount of money is dependent on the number of withdrawals

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C. This is a functional relationship as the number of vitamins depend on the number of monkeys

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D. This is NOT a functional relationship as the output is a fixed value. The performance and scoring may repeat.

2. .....................................................................................................

<h3>Given</h3>
  • A = 62x -100
  • B = 2x - 3
<h3>To find </h3>
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<h3>Solution</h3>
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Correct option is C.

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2 years ago
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Total area = 501 m²

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