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aliina [53]
3 years ago
5

While rolling, a wheel with a diameter of 19/2 ft makes 133 revolutions. Find the distance that is traveled by the wheel. Use 22

/7 for π.
Mathematics
1 answer:
mojhsa [17]3 years ago
3 0
You just need to find the circumference (the outside of the wheel) and then multiply that by how many times it turned

circumference is d* pi so your diameter 19/2 times pi (22/7) is about 29.86 ft
times that by 133 and you get exactly 3971 feet
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Which of the following illustrates a phase shift?
Natasha_Volkova [10]

<u>Answer:</u>

A. y = -2 - cos(x-π)


<u>Explanation:</u>

<u>The general form of the trig equation is:</u>

y = A sin (Bx + C) + D

where:

A is the amplitude

\frac{2\pi}{B} is the period

\frac{-C}{B} is the phase shift

D is the vertical shift


<u>Now, let's check the choices:</u>

<u>A. y = -2 - cos(x-π)</u>

\frac{-C}{B} = \frac{\pi}{1}  = \pi

Therefore, the function has a phase shift of π


<u>B. y = 3 cos(4x)</u>

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Therefore, the function has no phase shift


<u>C. y = tan(2x)</u>

\frac{-C}{B} = \frac{0}{2} = 0

Therefore, the function has no phase shift


<u>D. y = 1 + sin(x)</u>

\frac{-C}{B} = \frac{0}{1} = 0

Therefore, the function has no phase shift


<u>Based on the above,</u> the correct answer is A


Hope this helps :)

3 0
3 years ago
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Answer:

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

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we have that

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substitute equation B in equation A

m∠PQS+m∠SQR=90°

Remember that

Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)

therefore

m∠PQS and m∠SQR are complementary angles

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Answer:

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