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myrzilka [38]
2 years ago
8

Solve for x. Leave your answer in simplest radical form.

Mathematics
2 answers:
svetlana [45]2 years ago
5 0

Answer:

2√5

Step-by-step explanation:

hypotenuse of the second triangle = √(9²-5²)

= 2√14

so,

x = √{(2√14)²-6²}

= 2√5

denis-greek [22]2 years ago
4 0

Answer:

2sqrt(5)

Step-by-step explanation:

The left triangle is a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs  and c is the hypotenuse

5^2 + b^2 = 9^2

b^2 = 9^2 - 5^2

b^2 = 81-25

b^2 =56

Taking the square root of each side

b = sqrt(56) = sqrt(4*14) = 2 sqrt(14)

The right side is also a right triangle so we can  use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs  and c is the hypotenuse

x^2 + 6^2 = (sqrt(56))^2

x^2 +36 = 56

x^2 = 56-36

x^2 = 20

Taking the square root

sqrt(x^2) = sqrt(20) = sqrt(4*5) = 2sqrt(5)

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What is the range of the function y = 2sin X?
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Answer:

Range: [-2, 2] {y | -2 ≤ y ≤ 2}

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7 0
2 years ago
The length of the rectangle is 5/6 of inches and the width of the rectangle is 2/15 of inches. What is the area of the rectangle
Inga [223]

Answer:

W = X in.

L = (3x - 6) in.

A = L*W = (3x-6)X = 45,

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