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natali 33 [55]
3 years ago
12

At a zoo, the lion pen has a ring-shaped sidewalk around it. The other edge of the sidewalk is a circle with a radius of 11 m. T

he inner edge of the sidewalk is a circle with a radius of 9m. (A) write and simplify an expression for the extra area of the sidewalk. (B) find the approximate area of the sidewalk. Use 3.14 to approximate J,L.
Mathematics
1 answer:
Vikentia [17]3 years ago
5 0
Diameter = 2r
6 = 2r r = 3 for the radius of the flowerbed
If we were to include the sidewalk around the bed, the diameter would stretch out another meter in both directions, meaning adding 2 meters to the diameter making the new diameter 6 + 2 = 8 and 8/2 = 4 so 4 = radius of the circle including the sidewalk. Find the area of the big circle and subtract the area of the smaller circle to find the area of the sidewalk.
Small circle = pi*3 squared.
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Answer:

V = 567 ft³

Step-by-step explanation:

V = Bh

<em>[note: a capital 'B' represents the </em><em>area</em><em> of the base] </em>

<em />

The right triangle is the triangular prism's base.

Because the triangle's height (9 ft) and it's base are the same value (9 ft), we can solve to find the area.

  • We can identify the base easily because the base and the top of the prism are exactly the same shape

Area of triangular base:

 A = \frac{bh}{2}

 A = \frac{1}{2} (9 ⋅ 9)

 A = \frac{1}{2} (81)

 A = 40.5

We have 'B' for the triangular prism's formula, so next we need 'h'. 14 ft is provided as the prism's height, so we just need to multiply 40.5 and 14 for our answer.

Volume of triangular prism:

 V = Bh

 V = (40.5)(14)

 V = 567 ft³

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3 years ago
Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot,
Firlakuza [10]
The problem says that <span>Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. So, you can calculate the height asked, by following this procedure:
</span>
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 When you substitute these values into the formula above (Tan(α)=Opposite leg/Adjacent leg), you have:

 Tan(α)=Opposite leg/Adjacent leg
 Tan(30°)=x/200
 
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<span>
 How high above the ground the is the helicopter?

 The answer is: 115 feet</span>
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Answer:

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