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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adelina 88 [10]

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Step-by-step explanation:

7 0

3 years ago

Pls help!!!!

iris [78.8K]

from 300 to 250 is well, just a change of 50 units.

if we take the 300 as the 100%, what is 50 off of it as percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 300&100\\ 50&x \end{array}\implies \cfrac{300}{50}=\cfrac{100}{x}\implies 6=\cfrac{100}{x}\implies 6x=100 \\\\\\ x=\cfrac{100}{6}\implies x=\cfrac{50}{3}\implies x=16.666666\overline{6}\implies \stackrel{\textit{rounded up}}{x = 16.7}$