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prisoha [69]
3 years ago
6

I'm stuck on this question​

Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer:

I CANT SEE THE PICTURE, WHERE IS IT?

Step-by-step explanation:

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Can someone help me, please? I need to find the value of x and y rounded to the nearest tenth. Thank you!​
Pepsi [2]

Answer:

x\approx 24.0,\\y\approx 46.4

Step-by-step explanation:

Let the height of the largest triangle marked be h. We can set up the following equation:

\sin 30^{\circ}=\frac{h}{34},\\h=34 \sin 30^{\circ}=17 (if you're unfamiliar with trig, this is likely introduced to you as 30-60-90 triangle rules)

This height is also a leg of a 45-45-90 triangle, as marked in the diagram. From the isosceles-base-theorem, the other leg of this triangle must also be equal to h. Therefore, we can use the Pythagorean theorem to solve for x:

17^2+17^2=x^2\\x^2=\sqrt{17^2\cdot 2},\\x=17\sqrt{2}\approx \boxed{24.0} (you can also use trig or 45-45-90 triangle rules which are derived from the Pythagorean theorem)

Segment y consists of two shorter segments, a left segment and a right segment. We've already found that the left segment is equal to 17. To find the right segment we can use trig, the Pythagorean theorem, or 30-60-90 triangle rules (derived from the Pythagorean theorem):

Using Pythagorean Theorem:

y_{right}=\sqrt{34^2-17^2}\approx \boxed{29.4}

Therefore, we have:

y=17+29.4=\boxed{46.4}

7 0
3 years ago
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