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patriot [66]
3 years ago
11

Karl starts the engine on his small private airplane. The engine drives a propeller with a radius of 9 feet and its centerline 1

2.5 feet above the ground. At idle, the propeller rotates at a constant speed of approximately 750 revolutions per minute. The height of one propeller tip as a function of time is given by h = 12.5 + 9 sin(750t), where h is the height in feet and t is the time in minutes. Find h when t = 3.5 minutes.
Mathematics
2 answers:
Marta_Voda [28]3 years ago
5 0

Answer:

a=21.1

Step-by-step explanation:

sukhopar [10]3 years ago
4 0

Answer:

  • 3.68 feet using given equation (wrong)
  • 12.5 feet using correct equation

Step-by-step explanation:

You can use the given (incorrect) equation and fill in the value of t to find h:

  h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet

__

Or, you can use the correct equation, or just your knowledge of revolutions:

  h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet

in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 <em>full revolutions</em>, so is back where it started — at 12.5 feet above the ground.

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I believe the answer is the first one
6 0
3 years ago
To rent a uhal truck for the day, it cost 20 dollars per day plus 1 dollar for every mile driven Write an algebraic expression t
valkas [14]

Answer:

The equation is R = 20d + m(1)

Where R is the rental amount in dollars, d is the number of days and m is the number of miles driven

R for 3 days and 1000 miles is $1,060

Step-by-step explanation:

To properly represent the algebraic expression, we need to assign some variables.

Now, let the rental amount be R, the number of miles driven be m and the number of days rented for is d

Thus, we can say that:

R = 20d+ m(1)

Where R is rental amount, m is the number of miles driven and d is the number of days for which the truck was driven.

Now we are asked to calculate rental amount for 3 days and 1000 miles.

R = 20d + m(1)

R = 20(3) + 1000(1)

R = 60 + 1000

R = $1,060

5 0
3 years ago
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Musya8 [376]

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7 0
3 years ago
What is -11 2/3 - (-4 1/5)
rosijanka [135]

Answer:

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Step-by-step explanation:

-11 2/3 -(-4 1/5) = -11 2/3 + 4 1/5. Now, we need to find the LCM of 3 and 5. The LCM of 3 and 5 is 15 because 15 is the lowest number that can divide both 3 and 5 separately and both results will still be whole numbers.

Now, we have -11 10/15 + 4 3/15.

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4 0
2 years ago
3. guarts. equal. cups
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Hope this helps. :)

5 0
3 years ago
Read 2 more answers
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