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miss Akunina [59]
3 years ago
15

I figured it out, It's been a long day so I should lay down because I read into that one too much!

Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

Answer:

cool, hope you have a nice week :)

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Find the value of each variable
4vir4ik [10]

Answer:

x = 10\sqrt{2} , y = 10\sqrt{6}

Step-by-step explanation:

using the sine and cosine ratios in the right triangle and the exact values

cos60° = \frac{1}{2} , sin60° = \frac{\sqrt{3} }{2} , then

cos60° = \frac{adjacent}{hypotenuse} = \frac{x}{20\sqrt{2} } = \frac{1}{2} ( cross- multiply )

2x = 20\sqrt{2} ( divide both sides by 2 )

x = 10\sqrt{2}

and

sin60° = \frac{opposite}{hypotenuse} = \frac{y}{20\sqrt{2} } = \frac{\sqrt{3} }{2} ( cross- multiply )

2y = 20\sqrt{2} × \sqrt{3} = 20\sqrt{6} ( divide both sides by 2 )

y = 10\sqrt{6}

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