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3 years ago

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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Ray is six years younger than Tom. John is three times as old as Ray. Let Tom be x years old. The three of them

gtnhenbr [62]

Answer:

Ray = 19 yrs old
Tom = 25 yrs old
John = 57 yrs old

Explanation:

Let x be the years of Tom

R = x - 6
J = 3R = 3(x - 6)
T = x

R + J + T = 101
x - 6 + 3(x - 6) + x = 101
2x - 6 + 3x - 18 = 101
5x - 24 = 101
5x = 125
x = 125/5 = 25

R = 25 - 6 = 19
J = 3(25 - 6) = 57
T = 25

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3 years ago

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Luba_88 [7]

The correct answer is A and B because if you replace the m's with 4 than you do get the answer at the end of the equation. Hope this helps.

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3 years ago

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OLga [1]

Answer:

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3 years ago

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Line m has no y

goblinko [34]

If the line does not have a y int, then it means it does not cross the y axis....that means it is a vertical line.....its x int is (3,0)...so this equation for the line is x = 3

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3 years ago

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IL COSL al we creeree viall

kakasveta [241]

Answer:

<em>In the next year, Anthony worked 2,084 hours</em>

Step-by-step explanation:

Anthony worked 1,697 hours in 2010.

We also know Anthony worked 22.8% more hours than in 2010.

The problem requires to calculate how much did Anthony work in the next year.

It can be calculated as follows:

Take 22.8% of 1,697:

$22.8 * 1,697 / 100 = 386.916\approx 387\ hours$

Now calculate by adding it to the original number of hours:

1,697 + 387 = 2,084 hours

In the next year, Anthony worked 2,084 hours

8 0

3 years ago