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Vladimir79 [104]
3 years ago
15

The exclamation point (!) on a billboard consists of a circle sector and circle. The radius of the sector is 9 ft, and the radiu

s of the circle is 1.5 ft. The angle of the sector is 24°. What is the total area of the exclamation point on the billboard? Round to the nearest tenth.
Mathematics
1 answer:
harina [27]3 years ago
8 0

Answer:

  24.0 square feet

Step-by-step explanation:

The area of the sector is given by ...

  A = (1/2)r²θ . . . . . where θ is the angle in radians

The area of the circle is the same, with θ=2π, so is ...

  A = πr²

__

In this problem, the area of the sector is ...

  A = (1/2)(9 ft)²(24π/180) = 27π/5 ft² ≈ 16.9646 ft²

The area of the circle is ...

  A = π(1.5 ft)² = 9π/4 ft² ≈ 7.0686 ft²

Then the total area of the exclamation point is ...

  16.9646 +7.0686 ≈ 24.0 . . . ft²

The area is about 24.0 square feet.

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2 years ago
Ellis is painting wooden fenceposts before putting them in his yard. They are each 6 feet tall and have a diameter of 1 foot. Th
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The amount of the paint that Ellis needs to paint all the surfaces of the 12 fenceposts will be 226.08 square feet.

<h3>What is a cylinder?</h3>

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Ellis is painting wooden fenceposts before putting them in his yard. They are each 6 feet tall and have a diameter of 1 foot. There are 12 fenceposts in all.

The amount of the paint that Ellis needs to paint all the surfaces of the 12 fenceposts will be

The area of the one fence post will be

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Area = 3.14 x 1 x 6

Area = 18.84 square feet

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More about the cylinder link is given below.

brainly.com/question/3692256

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which of the following statements accurately describes a result of a decreasing worker per beneficiary ratio in the Social Secur
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3 years ago
You are certain to get 3 jacks when selecting 51 cards from a shuffled deck. Express the indicated degree of likelihood as a pro
Colt1911 [192]

Answer:

0.001145

Step-by-step explanation:

Given that you are certain to get 3 jacks when selecting 51 cards from a shuffled deck.

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Prob (the left over card to be Jack) = P(A) = \frac{4}{52}

Prob (the left over card to be non jack ) = P(B) = \frac{48}{52}

A and B are mutually exclusive and exhaustive

Let drawing 3 Jacks be the event C

P(C) = P(AC)+P(BC)

P(AC) = P(A)*P(C/A)\\= \frac{4}{52} (3/51C3)\\=1.108(10^{-5}

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= \frac{28}{52} (4/51C3)\\

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Adding we get

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= (1.108+10.343)(10^{-5} \\=0.001145

3 0
3 years ago
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