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The length of the SM parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.
<h3>What is the area of a rectangle?</h3>Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The length of the rectangle is 15 cm and width is 8 cm. Thus, the area of it is,
All three parts has equal area. Thus, the area of parallelogram NCMA is,
MN is the height of the parallelogram. Thus,
Thus, the length of the Sm parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.
Learn more about the area of rectangle here;
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<h3>Answer: Choice B</h3>
Explanation:
Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.
Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.
Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.
Choice D is ruled out for similar reasoning as choice A. Recall that