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:
13x + 112 = 320.
Step-by-step explanation:
The perimeter is the sum of the 3 sides:
1/2 x + 3/8 x + 11 + 3/4 x + 3 = 40
1/2 x + 3/8 x + 3/4 x + 3 + 11 = 40
1/2 x + 3/8 x + 3/4 x + 14 = 40
Multiply through by 8 to remove the fractions:
4x + 3x + 6x + 14 = 40
13x + 112 = 320.
Answer: the answer is attached
Step-by-step explanation:
2y/y-3. 4y-12/2y+6
I believe it should be A.