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nydimaria [60]
3 years ago
12

There are 95 seats on a train. 19 of the seats are empty. What percentage of the seats on the train are empty?

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
7 0
Your answer is 20%

To find any percentage, you write it as a fraction and then multiply by 100. In this case, we have 19/95.
19 x 5 = 95, which means that 19/95 = 1/5

1/5 as a decimal is 0.2, and 0.2 x 100 = 20%

If you’re allowed to use a calculator for this question, then you can just type in (19/95) x 100 into your calculator to get the answer.

I hope this helps!
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83-63=20
So your answer is 20
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The angle of elevation of the top of a pole as seen from a point 13 ft away from the base is double its angle of elevation as se
spayn [35]

The height of the pole above the level of the observer's eyes is 31.42 ft

Let the angle of elevation of the top of the pole from a point 47 ft away be α.

Let the angle of elevation of the top of the pole from the point 13 ft away be β.

Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.

If the height of the pole above the level of the observer's eye is h, we have that

tanβ = tan2α = h/13 and tanα = h/47

From trigonometric identities tan2α = 2tanα/(1 - tan²α)

Substituting the values of the variables into the equation, we have

tan2α = 2tanα/(1 - tan²α)

h/13 = 2h/47 ÷ [1 - (h/47)²]

Dividing through by h, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

Cross-multiplying, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

1 - (h/47)² = 2/47 × 13

1 - (h/47)² = 26/47

(h/47)² = 1 - 26/47

(h/47)² = (47 - 26)/47

(h/47)² = 21/47

Taking square-root of both sides, we have

h/47 = √(21/47)

Cross-multiplyng, we have

h = √(21/47) × 47

h = √(21 × 47)

h = √987

h = 31.42 ft

The height of the pole above the level of the observer's eyes is 31.42 ft

Learn more about height of a pole here:

brainly.com/question/10375496

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2 years ago
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A car dealership increased the price of a certain car by 13%. The original price was $47400 what is the new price?
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The answer would be 53,562. You would multiply 47400 by 1.13 to get your answer. Hope this helps!
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