<h3>
Answer: 9 inches (choice D)</h3>
Work Shown:
V = volume of pyramid
V = (1/3)*(area of base)*(height)
V = (1/3)*(12*10)*h
V = (1/3)*120h
V = 40h
Set this equal to the given pyramid volume 360 cubic inches and solve for h
40h = 360
h = 360/40
h = 9
Answer:
Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms
Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728
Now,
So,
Therefore, number of terms is 6
Considering that the sine is negative and that the cosine is positive, the angle is on the fourth quadrant, hence option C is correct.
<h3>What are the signs of the sine and of the cosine in each quadrant?</h3>
- Quadrant 1: Both positive.
- Quadrant 2: Sine positive, cosine negative.
- Quadrant 3: Both negative.
- Quadrant 4: Sine negative, cosine positive.
Hence, since the sine is negative and that the cosine is positive, the angle is on the fourth quadrant, hence option C is correct.
More can be learned about quadrants at brainly.com/question/28021191
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