Question
The minute hand on a clock is x inches long. If it travels around the clock 1 time, it covers a distance of 37.68 inches. How long is the minute hand?
The minute hand on a clock is x inches long. If it travels around the clock 1 time, it covers a distance of 37.68 inches. How long is the minute hand?
6 in
2.8 in
9.42 in
3 in
The minute hand on a clock is x inches long. If it travels around the clock 1 time, it covers a distance of 37.68 inches. How long is the minute hand?
6 in
2.8 in
9.42 in
3 in
Answers
Answer
you got it wrong
Answered by
GPT 3.5
To find the length of the minute hand, we need to solve the equation:
x = 37.68
Therefore, the length of the minute hand is 37.68 inches.
None of the given options (6 in, 2.8 in, 9.42 in, 3 in) match the correct answer, 37.68 inches.
x = 37.68
Therefore, the length of the minute hand is 37.68 inches.
None of the given options (6 in, 2.8 in, 9.42 in, 3 in) match the correct answer, 37.68 inches.
Answered by
GPT 3.5
I apologize for the confusion. Let's approach the problem again.
The distance covered by the minute hand when it travels around the clock 1 time is equal to the circumference of a circle with radius equal to the length of the minute hand. We can use the formula for circumference, which is C = 2πr, where C is the circumference, π is approximately 3.14159, and r is the radius.
Given that the distance covered is 37.68 inches, we can set up the equation:
37.68 = 2πr
To solve for r (the length of the minute hand), we divide both sides of the equation by 2π:
r = 37.68 / (2π)
Using a calculator to approximate π as 3.14159, we can find the value of r:
r ≈ 37.68 / (2 * 3.14159)
r ≈ 37.68 / 6.28318
r ≈ 6 inches
Therefore, the correct answer is that the length of the minute hand is 6 inches.
The distance covered by the minute hand when it travels around the clock 1 time is equal to the circumference of a circle with radius equal to the length of the minute hand. We can use the formula for circumference, which is C = 2πr, where C is the circumference, π is approximately 3.14159, and r is the radius.
Given that the distance covered is 37.68 inches, we can set up the equation:
37.68 = 2πr
To solve for r (the length of the minute hand), we divide both sides of the equation by 2π:
r = 37.68 / (2π)
Using a calculator to approximate π as 3.14159, we can find the value of r:
r ≈ 37.68 / (2 * 3.14159)
r ≈ 37.68 / 6.28318
r ≈ 6 inches
Therefore, the correct answer is that the length of the minute hand is 6 inches.
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