Answer: sqrt(2)/2 which is choice D
======================================================
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
------------
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).
As we can see above, it's clear that 3 and 1/3 are reciprocals of each other.
And we can find the reciprocal of 1/3 by forming a fraction and to multiply the numerator and denominator by 3.
Hence, 3/1 or 3 is the correct answer.
_______________∞_______________
Answer:
<h2>h = 15</h2>Step-by-step explanation:
The formula of an area of a parallelogram:
b - side
h - height
We have b₁ = 18 and h₁ 10 and b₂ = 12.
Substitute:
<em>divide both sides by 12</em>