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GenaCL600 [577]
3 years ago
9

Which equation can be used to determine the reference angle r if 7pi/12?

Mathematics
2 answers:
Monica [59]3 years ago
7 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

If we draw the given angle \frac{7\pi }{12}, the terminal side will be in second quadrant.

So the reference angle will be the angle between x axis and the terminal side of given angle.

For this, we have to subtract it from \pi

So the reference angle will be : \pi-\frac{7\pi}{12}

making common denominator

reference angle = \frac{12\pi}{12}-\frac{7\pi}{12}

reference angle = \frac{5\pi}{12}    :   Answer

Hope it will help :)

Daniel [21]3 years ago
4 0
7pi/12 > pi/2, This means it is in 2nd quadrant.
For angles in 2nd quadrant, subtract from pi to get reference angle.

pi - 7pi/12 = 5pi/12
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<h3>Answer:</h3>

The circle makes the larger area

The difference in the two areas is roughly 132.2479 square feet.

=================================================

Explanation:

If Carter decides to go for a circle, then 88 is the circumference, which is the distance around the circle (aka perimeter of the circle).

Use this to find the radius needed

C = 2*pi*r

r = C/(2pi)

r = 88/(2pi)

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I'll leave it in exact form rather than approximate it.

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A = pi*r^2

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A = pi*(1936/(pi^2))

A = 1936/pi

A = 616.247939651819 approximately

I used my calculator's stored version of pi to compute the area in the final step.

We'll be comparing this number later, so hold onto it for now.

-------------------------------------

If Carter instead decides for a square, then 88 is the perimeter since it's the amount of fencing he has to work with.

Divide it into 4 pieces to find the length of each side of the square (all sides are equal in a square)

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--------------------------------------

Summary:

  • If Carter goes for a circular enclosure, then he gets roughly 616.2479 square feet.
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The circle wins in terms of larger area.

The difference being roughly 616.2479  - 484 = 132.2479 square feet.

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The evaluation of the expression, if m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5 , and t = − 2 | 16 + 4 ( 3 q + p ) is 46.

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Then since we are given  m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5

Then, we can substitute all the given values of the terms into the given expression as :

t = − 2 | 16 + 4 ( 3 q + p )

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Then we will have that:

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