Question

!50 POINTS! (3 SIMPLE GEOMETRY QUESTIONS)

QUESTIONS BELOW
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Answer 1

4. x = 49

5. 87 sq. in.

6. 384, 240, 384 sq. in.

Explanation:

4. Because tangents to a circle from the same point are equal in length, x = y = 49.

5. Rodney's pizza is a 100° sector of the pizza and thus has area
`10^2\pi\cdot100/360\approx87`.

6. The volume is base*height/3, which in this case is 12*12*8/3 = 384. The surface area is the square + 4 of the triangles, which in this case is 12*12 + 4(12*10/2) = 384. The lateral surface area is the previous number minus the base, which would then be 384 - 12*12 = 240.