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erastovalidia [21]
3 years ago
15

Find X. This is a 40°, 40°, 90° triangle.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
6 0

Answer:

In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.

Step-by-step explanation:

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3 years ago
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How much is a 15 percent down payment on a purchase of 205,000
insens350 [35]
Change 15% into a decimal

15% = 15/100 = 0.15

multiply 0.15 and 205,000 together

205000 x 0.15 = <span>30750

$30,750 is your answer

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6 0
3 years ago
The local library had a sale to get rid of the books that were slightly damaged it’s on paper back books for two dollars and har
kondor19780726 [428]

Answer:

The Local Library sold <u>31</u> hardcover books.

Step-by-step explanation:

Let number of paper back books be 'x'.

Let number of hardcover books be 'y'.

Given:

Total number of books sold = 89

Now Total number of books sold is equal to sum of number of paper back books and number of hardcover books.

framing in equation form we get;

x+y=89 \ \ \ \ \ equation \ 1

Now Given:

Cost of each paper back books = $2

Cost of each hardcover books = $5

Total Amount raised by library = $271

Now We know that Total Amount raised by library is equal to Cost of each paper back books multiplied by number of paper back books plus Cost of each hardcover books multiplied number of hardcover books.

framing in equation form we get;

2x+5y=271 \ \ \ \ equation \ 2

Now Multiplying equation 1 by 2 we get;

2(x+y)=89\times2\\\\2x+2y = 178 \ \ \ \ equation \ 3

Now Subtracting equation 3 from equation 2 we get;

(2x+5y)-(2x+2y)=271-178\\\\2x+5y-2x-2y=93\\\\3y = 93\\\\y=\frac{93}{3}=31

Substituting the value of y in equation 1 we get;

x+y =89\\\\x+31=89\\\\x =89-31 = 58

Hence The Local Library sold 58 paper back books and <u>31</u> hardcover books.

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3 years ago
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erma4kov [3.2K]

Answer:

x ≈ 73.3

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos39° = \frac{adjacent}{hypotenuse} = \frac{57}{x} ( multiply both sides by x )

x × cos39° = 57 ( divide both sides by cos39° )

x = \frac{57}{cos39} ≈ 73.3 ( to the nearest tenth )

8 0
3 years ago
Please help! i'll mark brainliest &lt;3
Inessa [10]

Answer:

The piano is 5.1 feet wide.

7 0
3 years ago
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