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Evgesh-ka [11]
2 years ago
6

The equation h = 7 sine (startfraction pi over 21 endfraction t) 28 can be used to model the height, h, in feet of the end of on

e blade of a windmill turning on an axis above the ground as a function of time, t, in seconds. how long is the blade? assume that the blade is pointing to the right, parallel to the ground, at t = 0, and that the windmill turns counterclockwise at a constant rate.
Mathematics
1 answer:
9966 [12]2 years ago
4 0

The windmill's blade measures 7 feet in length.

<h3>What is an equation?</h3>
  • An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.

To find the measure of the windmill's blade:

  • We have the equation: h=sin(\frac{\pi }{21t} )+28
  • At the time 't' = 0, the end of the blade is parallel to the ground and pointing to the right, indicating that it is the same height as the other end. (Ф = 0°)
  • We may calculate the length of the blade by calculating the greatest height of this end at = 90°.
  • We now know that the general model equation of a circular simple harmonic motion is written as follows:  y = A sinωt + k
  • Where A is the maximum displacement from mean to maximum position
  • The angular frequency is ω.
  • When eq1 and eq2 are compared:
  • A = 7
  • As a result, the difference in blade end height at = 0° and = 90° is 7 feet.

Therefore, the windmill's blade measures 7 feet in length.

Know more about equations here:

brainly.com/question/2972832

#SPJ4

The correct question is given below:

The equation h=7sin(pi/21t)+28 can be used to model the height, h, in feet of the end of one blade of a windmill turning on an axis above the ground as a function of time, t, in seconds. How long is the blade? Assume that the blade is pointing to the right, parallel to the ground, at t = 0, and that the windmill turns counterclockwise at a constant rate. 7 feet 14 feet 21 feet 28 feet

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2 years ago
Show Work Please Thank You
Misha Larkins [42]

Answer:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

Step-by-step explanation:

We are given the trigonometric equation of:

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Let u = 4x then:

\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}

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Divide both sides by 4:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

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Answer:

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Step-by-step explanation:

Let's solve your equation step-by-step.

3n−32=7n+28

Step 1: Subtract 7n from both sides.

3n−32−7n=7n+28−7n

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Step 2: Add 32 to both sides.

−4n−32+32=28+32

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Step 3: Divide both sides by -4.

−4n/−4=60/−4

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