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Reika [66]
4 years ago
10

I have been stuck on this question for a while. I need to find the area of the shaded region and round to the nearest tenth.

Mathematics
1 answer:
ZanzabumX [31]4 years ago
5 0
<h3>Answer:</h3>

818.4 in²

<h3>Step-by-step explanation:</h3>

The area of a circular sector is given by ...

... A = (1/2)r²·θ . . . . . θ in radians

The area of the isosceles triangle with apex angle 150° is given by ...

... A = (1/2)r²·sin(θ)

Then the area of the shaded segment is ...

... A = (1/2)r²·(θ - sin(θ))

... A = (1/2)·(27.8 in)²(5π/6 -sin(5π/6)) ≈ 818.4 in²

_____

If you (erroneously) use 3.14 for π, you get 817.9 in². Some answer keys expect you to use that value, even though it does not have sufficient accuracy for this problem.

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Factor p^2−6−q·(p^2−6)^2
Olenka [21]

Answer:

(p^2−6) (1-q(p^2-6))

Step-by-step explanation:

p^2−6−q·(p^2−6)^2

Put parentheses around the P^2-6 at the beginning of the expression

(p^2-6) -q (p^2−6)^2

Factor out (p^2−6)

(p^2−6) (1-q(p^2-6))

5 0
3 years ago
Read 2 more answers
Four friends, Abe, Bob, Carl, and Darrel, are going to a fun park .They want to ride go-karts. The price to ride the go-karts is
ki77a [65]

Answer:

Since in this option the minute is paid at $0.40, the best option is 10 minutes for $ 4.

Step-by-step explanation:

Since four friends, Abe, Bob, Carl, and Darrel, are going to a fun park, and they want to ride go-karts, and the price to ride the go-karts is $ 2.15 for 5 minutes, $ 4.00 for 10 minutes, or $ 6.75 for 15 minutes, to determine which price is the best deal, the following calculations must be performed:

2.15 / 5 = 0.43

4/10 = 0.40

6.75 / 15 = 0.45

Therefore, since in this option the minute is paid at $ 0.40, the best option is 10 minutes for $ 4.

8 0
3 years ago
An electrician charges $15 for a service call plus $25 per hour. The total bill for a recent job was $165.
Aleksandr-060686 [28]

Answer:

h = 6

Step-by-step explanation:

Equation:

15 + 25h = 165

Subtract 15 from both sides

25h = 150

Divide both sides by 25

h = 6

So 6 hours

Hope this helped :)

Please consider Brainliest :)

3 0
3 years ago
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Solve equation 3x+3y+6z-15w=9​
Artyom0805 [142]

First of all what topic?

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3 years ago
Use the photo to answer
Gre4nikov [31]

Answer:

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Step-by-step explanation:

The volume of a sphere is

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V = 4/3 * (3.14 ) * 3^3

V =113.04

To the nearest tenth

V = 113.0

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4 years ago
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