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svlad2 [7]
3 years ago
7

Find value of each variable! Express in simplest radical form!

Mathematics
1 answer:
Papessa [141]3 years ago
3 0

Step-by-step explanation:

3. The triangle that makes up the square is a 45-90-45 triangle so x = 45°. Using Pythagorean theorem,

2y^2 = 12 ---> y^2 = 6

or

y = √6

4.This is an equilateral triangle of side 11 so

y = 11/2

To find x, use the definition of sine 60:

sin 60° = opp/hyp

= x/11

or

x = 11sin60° = (11√3)/2

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Answer: The final answer in proper fraction is 169/9

Step-by-step explanation:

Given the expression

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We now have all terms in proper fraction, we can continue by finding the LCM which is 9

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= 169/9

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