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katovenus [111]
3 years ago
7

Identify the values of the variables. Give your answers in simplest radical form. HELP PLEASE!!!

Mathematics
2 answers:
galben [10]3 years ago
6 0

Answer:

x = 3\sqrt{2}

y = 6\sqrt{2}

Step-by-step explanation:

The triangle is a 30-60-90 right triangle.

The ratio of the lengths of the sides is:

1 : \sqrt{3} : 2

The order of the sides in the ratio above is

short leg : long leg : hypotenuse

The long leg is sqrt(3) times the length of the short leg.

x \times \sqrt{3} = 3\sqrt{6}

x = \dfrac{3\sqrt{6}}{\sqrt{3}}

x = 3 \times \sqrt{\dfrac{6}{3}}

x = 3\sqrt{2}

The hypotenuse is twice the length of the short leg.

y = 2 \times 3\sqrt{2}

y = 6\sqrt{2}

olchik [2.2K]3 years ago
3 0

Answer:x=root6, y=2root18


Step-by-step explanation:


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2x + 1 < 5

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3 years ago
If the area of a rectangle in terms of x is x2 + 15x + 26 / 6x2 and its width is x2 - 3x - 10 / 30x3 Find the length of the rect
Veseljchak [2.6K]

Answer:

The length of the rectangle is;

5x(x+13)/(x-5)

Step-by-step explanation:

Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle

To find the length of the rectangle, we will have to divide the area by the width

we have this as;

(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3

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Substituting the linear products in place of the trinomials, we have;

(x+2)(x+13)/(x+2)(x-5) * 5x

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3 years ago
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