Answer:
45.24
Step-by-step explanation:
Percentage Calculator: 38 is what percent of 84? = 45.24.
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:
y = 114° and x = 120°
step-by-step explanation:
part A:
- second inner angle: (180°-87°) = 93°
- third inner angle: (180°-30°) = 150°
- fourth, beside y angle: 360° - 150° - 93° - 51° = 66°
- then y = 180° - 66° = 114°
part B:
- there are 6 sides, so inner angle: (6-2)*180 = 720°
- 160° + 123° + 107° + 90° + x + x = 720°