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lidiya [134]
3 years ago
9

Kahleela starts the engine on her small private airplane. The engine drives a propeller with a radius of 8.5 feet and its center

line 11.5 feet above the ground. At idle, the propeller rotates at a constant speed of approximately 800 revolutions per minute. The height of one propeller tip as a function of time is given by h = 11.5 + 8.5 sin(800t), where h is the height in feet and t is the time in minutes. Find h when t = 5.5 minutes.
Mathematics
2 answers:
Lera25 [3.4K]3 years ago
6 0

Answer:

A. 3.1 feet is the answer i believe.........

Step-by-step explanation:

algol133 years ago
4 0

Answer:

a=21.1

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 full revolutions, so is back where it started — at 12.5 feet above the ground.

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I would say since thats $1500+ a month about 600 dollars, because she will have bills and then have to buy food drinks and alot more.

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What is the vertical distance between 580ft above sea level and 200ft below sea level. Help
Ierofanga [76]

Answer:

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Step-by-step explanation:

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3 years ago
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Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that
AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let <em>x</em> is the money deposit in the bank and <em>y</em> is the money deposit in stock fund.

Therefore,

<em>x</em> + <em>y</em> = 27000

<em>x</em>  = 27000 - <em>y</em>

The bank account will pay 2.4% annual interest.

\frac{2.4}{100}x+x=1.024x

Stock fund pays 7.2% annual interest.

\frac{7.2}{100}y+y=1.072y

Therefore,

1.024 <em>x</em> + 1.072 <em>y</em> = 1.06 × 27000

Substitute the <em>x</em>  = 27000 - <em>y</em> in above equation.

1.024 (27000 − <em>y</em>) + 1.072 <em>y</em> = 1.06 × 27000

27648 − 1.024 <em>y</em> + 1.072 <em>y</em> = 28620

0.048 <em>y</em> = 28620-27648

0.048 <em>y</em> = 972

<em>y</em> = 20250

Now, substitute the <em>y</em> = 20250 in <em>x</em>  = 27000 - <em>y</em>.

<em>x</em> = 27000 − 20250

<em>x</em> = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

7 0
3 years ago
What is the solution set of the equation?<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20-18%2B9x%3Dx" id="TexFormula1"
bagirrra123 [75]

9514 1404 393

Answer:

  x ∈ {2.07014981016}

Step-by-step explanation:

The equation can be rewritten as ...

  √x = 18-8x

  x = 324 -288x +64x²

  64x² -289x +324 = 0

  x = (289 ±√577)/128 ≈ {2.07015, 2.44548}

Since √x must be positive, we know that ...

  18 -8x ≥ 0

  x ≤ 18/8 = 2.25

The larger of the above solutions is extraneous, so the solution set is ...

  x ∈ {(289 -√577)/128} ≈ {2.07015}

8 0
2 years ago
Harley is on a trip with her dad. Her dad tells her that they've traveled 182.6 miles and they are 83% of the way to their desti
Natali5045456 [20]
0.83x=182.6

x=182.6/0.83

x=220 miles total trip length.
8 0
3 years ago
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