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damaskus [11]
3 years ago
15

Find the length of the hypotenuse.​

Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0

Answer:

6

Step-by-step explanation:

Using the sine ratio in the right triangle

let x = hypotenuse and sin45° = \frac{\sqrt{2} }{2}, then

sin45° = \frac{opposite}{hypotenuse} = \frac{3\sqrt{2} }{x}

and

\frac{3\sqrt{2} }{x} = \frac{\sqrt{2} }{2} ( cross- multiply )

\sqrt{2} × x = 6\sqrt{2}

Divide both sides by \sqrt{2}

x = 6

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42 yards is the diameter what is the area of the circle
iris [78.8K]

Answer:

1385.4 sq yards

Step-by-step explanation:

The diameter is twice the radius. 42 divided by two is 21.

The area of a circle is found with the formula Pi *r^2.

21^2 * pi is approximately equal to 1385.4 sq yards

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3 years ago
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I need help...............
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Answer:

$7

Step-by-step explanation:

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3 years ago
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Which of the following equations have no solutions?
Andre45 [30]

Answer:

A

Step-by-step explanation:

If the variable quantities are the same, but the constants are different, then that equation has no solutions.

4 0
3 years ago
in fireside ski shop, 11/28 of the ski caps have tassals. Of the caps with tassals, 7/11 are blue. What fraction of the caps are
Kisachek [45]

Answer:

One fourth of the caps are blue with tassels.

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3 0
4 years ago
the sum of two numbers is 9. if one number is subtracted from the other, the result is 3. find the numbers
irakobra [83]
X, y - the numbers

The sum of the two numbers is 9.
x+y=9

If one number is subtracted from the other, the result is 3.
x-y=3

Solve the system of equations:
x+y=9 \\
\underline{x-y=3} \\
x+x=9+3 \\
2x=12 \ \ \ |\div 2 \\
x=6 \\ \\
x+y=9 \\
6+y=9 \ \ \ |-6 \\
y=3

The numbers are 6 and 3.
6 0
3 years ago
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