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Effectus [21]
2 years ago
12

If the length of the legs of a right triangle are 5 meters and 7 meters, what is the length of the hypotenuse to the nearest ten

th of a meter?
Mathematics
1 answer:
TEA [102]2 years ago
6 0

Answer:

8.6 meters

Step-by-step explanation:

a² + b² = c²    means        leg² + leg² = hypotenuse ²

5² + 7² = hypotenuse²

25 + 49 = hypotenuse²

74 = hypotenuse ²

\sqrt{74} = hypotenuse

8.6 = hypotenuse

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Answer:

m = 3

Step-by-step explanation:

Find the slope of the line connecting (-2,-3) and (-4,-9).  (Note:  you must use those parentheses.)

As we go from x= -4 to x = -2, an increase of 2, y increases by 6 from -9 to -3.  The slope of this line is m = rise / run = 6/2 = 3.

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3 years ago
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2 years ago
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3 years ago
The perimeters of square region S and rectangular region R are equal. If the sides of R are in the ratio 2 : 3, what is the rati
Ksivusya [100]
<h2>Answer:</h2>

The ratio of the area of region R to the area of region S is:

                    \dfrac{24}{25}

<h2>Step-by-step explanation:</h2>

The sides of R are in the ratio : 2:3

Let the length of R be: 2x

and the width of R be: 3x

i.e. The perimeter of R is given by:

Perimeter\ of\ R=2(2x+3x)

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:

Perimeter=2(L+B) )

Hence, we get:

Perimeter\ of\ R=2(5x)

i.e.

Perimeter\ of\ R=10x

Also, let " s " denote the side of the square region.

We know that the perimeter of a square with side " s " is given by:

\text{Perimeter\ of\ square}=4s

Now, it is given that:

The perimeters of square region S and rectangular region R are equal.

i.e.

4s=10x\\\\i.e.\\\\s=\dfrac{10x}{4}\\\\s=\dfrac{5x}{2}

Now, we know that the area of a square is given by:

\text{Area\ of\ square}=s^2

and

\text{Area\ of\ Rectangle}=L\times B

Hence, we get:

\text{Area\ of\ square}=(\dfrac{5x}{2})^2=\dfrac{25x^2}{4}

and

\text{Area\ of\ Rectangle}=2x\times 3x

i.e.

\text{Area\ of\ Rectangle}=6x^2

Hence,

Ratio of the area of region R to the area of region S is:

=\dfrac{6x^2}{\dfrac{25x^2}{4}}\\\\=\dfrac{6x^2\times 4}{25x^2}\\\\=\dfrac{24}{25}

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The answer is 3.6 or 3 6/10 or 3 3/5 all equivalent
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