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:
x = 76
Step-by-step explanation:
The angles are same side interior angles and same side interior angles are supplementary, which means they add to 180
x+104 = 180
Subtract 104 from each side
x+104-104 = 180-104
x =76
3 should be added to the tiles
Answer:
$720
Step-by-step explanation:
First tutor = 30 x 10 = $300
Second tutor = 30 x 14 = $420
Total = 420 + 300 = $720
Answer:
y = -2
Step-by-step explanation:
The midline is the horizontal line that passes exactly in the middle between the graph's maximum and minimum points.
From inspection, curve has a maximum at y = 1 and a minimum at y = -5
The midline between these is 
So the equation for the midline of this graph is y = -2 (shown in red on the attached graph)
