10.38
i multiplied each number and the answers that i got i added them to get the area
<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 
<BAC = <DEC = 30°
<BCA = <DCE = 70°
<CDE (or m<D) = 180° - <DEC - <DCE
<CDE = 180° - 30° - 70°
<CDE = 80°
The number that belongs in the green box is 80
2x^2-4=124 is the correct answer.