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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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Step-by-step explanation:

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Which of the following is the function f(x) if f'(x) = *#4?
TEA [102]

Answer:

Step-by-step explanation:

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8 0
3 years ago
What is the solution 8x-3(2x-4)=3(x-6)
yanalaym [24]

Answer:

x = 30

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

8x - 3(2x - 4) = 3(x - 6)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   8x - 6x + 12 = 3x - 18
  2. Combine like terms:                   2x + 12 = 3x - 18
  3. Subtract 2x on both sides:        12 = x - 18
  4. Add 18 to both sides:                 30 = x
  5. Rewrite:                                       x = 30

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    8(30) - 3(2(30) - 4) = 3(30 - 6)
  2. Multiply:                        240 - 3(60 - 4) = 3(30 - 6)
  3. Subtract:                       240 - 3(56) = 3(24)
  4. Multiply:                        240 - 168 = 72
  5. Subtract:                       72 = 72
5 0
3 years ago
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