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IRINA_888 [86]
3 years ago
14

A cylindrical grain bin has a radius of 7 feet and a height of 25 feet. How many cubic feet can the unit hold?

Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0

Answer:

3847 ft³

Step-by-step explanation:

The volume of a cylinder of radius r and height h is V = πr²h.

Here, the volume is V = π(7 ft)²(25 ft) = 1225π ft³, or approximately 3847 ft³.

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Corey flying a kite with 105 meters of string.His string makes an angle of 42 degrees with the level ground. How high is the kit
mafiozo [28]

<u>Given</u>:

Given that Corey is flying a kite with 105 meters of string.

The string makes an angle of 42° with the ground level.

We need to determine the height of the kite.

<u>Height of the kite: </u>

The height of the kite can be determined using the trigonometric ratio.

Thus, we have;

 sin \ \theta=\frac{opp}{hyp}

From the given data, the values are  \theta=42^{\circ}, opp = h (height of the kite) and hyp = 105 meters.

Substituting the values, we get;

sin \ 42=\frac{h}{105}

Multiplying both sides of the equation by 105, we get;

sin \ 42 \times 105=h

0.669 \times 105=h

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Rounding off to the nearest meter, we get;

h=70

Thus, the height of the kite is 70 meters.

8 0
3 years ago
What's the area of the triangle with 9mm 76mm 100mm
svlad2 [7]

9514 1404 393

Answer:

  342 mm²

Step-by-step explanation:

The triangle shown has a base of 9 mm and a height of 76 mm. Its area is ...

  A = 1/2bh

  A = (1/2)(9 mm)(76 mm) = 342 mm²

The triangle shown has an area of 342 mm².

_____

<em>Additional comment</em>

The other leg of the right triangle with one leg 76 mm and hypotenuse 100 mm will be about 65 mm. The base shown is 9 mm, so any triangle with the dimensions shown will be a fairly skinny obtuse triangle, not the acute triangle in the picture. (This makes us suspect an error: the 9 mm dimension maybe should be 90 mm.)

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2 years ago
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Answer:

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Step-by-step explanation:

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coldgirl [10]

Answer: 74

Step-by-step explanation:

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Evaluate the expression. 4–4÷2
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Answer:

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Step-by-step explanation:

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