Answer:6.28 ft^2
Step-by-step explanation:
Diameter=4
Radius=diameter ➗ 2
Radius=4 ➗ 2
Radius=2
Area of semicircle=0.5xπx(radius)x(radius)
Area of semicircle=0.5x3.14x2x2
Area of semicircle=6.28 ft^2
The explicit rule for the geometric sequence is in the form,
an = (a1)^(r -1)
where an is the nth term, a1 is the first term, and r is the common ratio. Substituting the known terms from the given above, we arrive to the explicit form of the sequence which is,
an = 49^(3 - 1)
Answer: 
<u>Step-by-step explanation:</u>
The vertex form of a parabola is y = a(x - h)² + k or x = a(y - k)² + h
- p is the distance from the vertex to the focus
- -p is the distance from the vertex to the directrix

1) y = -2(x - 4)² - 1 → a = -2 (h, k) = (4, -1)

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2) x = (y - 1)² + 2 → a = 1 (h, k) = (2, 1)

Answer:
A. 80
Step-by-step explanation:
No math necessary. You know the brace needs to be longer than the distance between posts, so cannot be 4, 15, or 42 inches. The only answer choice longer than 64 inches is the correct one:
80 inches
To find the mean. You would add up all the numbers then divide by how many numbers there are.
2.02+24.6+2.88+2.18+2.78+2.35+2.22= 39.03
39.03/7=5.5757
ANSWER: 5.5757