Answer: sqrt(2)/2 which is choice D
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Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
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Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
Answer:
The sprinkler can spread water 18 feet away.
Step-by-step explanation:
We are given the following in the question:
Area formed by watering pattern = 1,017.36 square feet
We have to find the how far the sprinkler spread the water.
The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.
Area of circle =
![A = \pi r^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20r%5E2)
where r is the radius of the circle.
Putting values, we get,
![1017.36 = 3.14 r^2\\\\r^2 = \dfrac{1017.36}{3.14}\\\\r^2 = 324\\r = \sqrt{324} = 18\text{ feet}](https://tex.z-dn.net/?f=1017.36%20%3D%203.14%20r%5E2%5C%5C%5C%5Cr%5E2%20%3D%20%5Cdfrac%7B1017.36%7D%7B3.14%7D%5C%5C%5C%5Cr%5E2%20%3D%20324%5C%5Cr%20%3D%20%5Csqrt%7B324%7D%20%3D%2018%5Ctext%7B%20feet%7D)
Thus, the sprinkler can spread water 18 feet away.
You have 20 candies together in abag 10 red 10 green tou mix them yp togethr in a bag how many candies do you have in the bag
Ms. Alonzo received 400 markers because one tenth of 4000 is 400. Hope this helped!
Answer: 4+87x
Step-by-step explanation:
4+35+52
Combine like terms
4+35x+52x
4+87x
rearrange terms
=4+87x