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:
13 sides.
Step-by-step explanation:
(n - 2) = 1980 / 180 = 11.
n = 13
When the sum of the interior angles is 1980 degrees, the convex polygon will have 13 sides.
i hope this helps and is right! p.s. i really need brainliest :)
Answer:
z = 11
Explanation:
5y + 13 = 6y
Subtract 5y by both sides.
13 = y
Next,
z + 22 = 3z
Subtract z by both sides.
22 = 2z
Then, divide both sides by 2.
11 = z
Finally plug those answers into the equations.
5(13) + 13 = 78
6(13) = 78
(11) + 22 = 33
3(11) = 33
So △DEF ≅ △JKI because the value of z = 11.
B is the answer because it does not give information for the third side. We cannot assume it is equal because it is not a right triangle.
931 is the frst number and the rest ar decimals ie 931.857142.......
