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 correct answer for the question that is being presented above is this one:
(1) 1 ton is equal to 2,000 pounds. If a male African elephant weighs 7 tons, then in pounds, it has 14,000 pounds.
African lion = (1 / 40) * 14,000
African lion = 350 pounds
So, African lion weighs 350 pounds.
Answer:
Gretchen has mostly more than Manuel.
Step-by-step explanation:
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Given:
Four series of angles are given.
To Find:
Identify the series with the correct order from greatest to least.
Solution:
the correct order from greatest to least is what is shown in the fourth option, i.e.,

Calculation:
Now, we use the fact that

to calculate the values of

So, we have

Looking at the above values, we see that the correct order from greatest to least is what is shown in the fourth option, i.e.,
