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Gala2k [10]
3 years ago
7

The hypotnuse of a 45-45-90 triangle has a length of 10 units whats the length of one of its legs

Mathematics
1 answer:
mamaluj [8]3 years ago
7 0

Answer:

  5√2 units ≈ 7.07 units

Step-by-step explanation:

The ratio of leg to hypotenuse in an isosceles right triangle is ...

  leg/hypotenuse = 1/√2

Multiplying by the length of the hypotenuse, we have ...

  leg = hypotenuse/√2 = 10/√2

  leg = 5√2 . . . . rationalize the denominator

The length of one leg is 5√2 units, about 7.07107 units.

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I dont understand this problem
Fiesta28 [93]

Answer:

D and F

Step-by-step explanation:

x^{2}+4x+4=12 can be rewritten as x^{2} +4x-8=0.

From there you can use the quadratic formula x=\frac{-b±\sqrt{b^{2}+4ac } }{2a} (ignore the A, I can‘t seem to remove it), where a=1, b=4, and c=-8.

x=\frac{-4±\sqrt{4^{2}-4(1)(-8)} }{2(1)}

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8 0
2 years ago
The volume of a rectangular prism is 270 cubic centimeters the height of the prism is 5 centimeters. What could the length and w
kotegsom [21]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Volume = 270 cm³

height = 5 cm

length = ?

width = ?

Formula

Volume of a rectangular prism = height x length x width

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Area of the base = Volume / height

-Substitution

Area of the base = 270 / 5

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Area of the base = 54 m²

2.- Find the prime factors of 54

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                       1

3.- The possible values of the sidas of the rectangle are:

Combining the prime factor of 54.

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or            2 x 3 x 3 = 18   and    3 x 1 = 3

or            3 x 3 x 3 = 27  and     2 x 1 = 2

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Step-by-step explanation:

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