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).
The volume of any prism is given by
.. V = Bh . . . . B is the area of the base, h is the height
You have
.. 300 = B*3
.. 300/3 = B = 100
The area of the base is 100 square units.
Given that the width of the rectangular piccture is:
Where "l" is the length of the picture.
You know that the perimeter is:
The formula for calculating the perimeter of a rectangle is:
Where "l" is the length and "w" is the width.
Therefore, you can substitute the perimeter and the width into the formula, in order to find "l":
Now you can solve for "l":
Hence, the answer is:
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Answer: i took the test its number 555555
Step-by-step explanation:
