Answer:
The first option is the correct one, the area of the shaded portion of the circle is
[/tex](5 \pi -11.6)ft^2[/tex]
Step-by-step explanation:
Let us first consider the triangle + the shadow.
The full area of the circle is the radius squared times pi, so
A=
Since
, the area of the triangle + the shaded area is one fifth of the area of the whole circle, thus

If we want to know the area of the shaded part of the circle, we must subtract the area of the triangle from
.
The area of the triangle is given by

Thus the area of the shaded portion of the circle is

4x - 10 = 34
4x +10 +10
4x = 44
4x/4 = 44/4
x = 11
Answer:
x = 45 when y = 20 and z = 6
Step-by-step explanation:
The general formula here is y = kx/z²
If x = 24 and y = 6, z = 8, so:
y = kx/z² becomes 6 = k(24)/8², and:
6 1
k = ---------------- = -------------- = 16
24/64 4/64
Then y = 16x/z², and so, if y = 20 and z = 6 (check this!), then:
20 = 16x/36, or 16x = 720, or x = 45
x = 45 when y = 20 and z = 6
Answer:
B) 
Step-by-step explanation:
2(x + 12) − 16 ≤ 8

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