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vodomira [7]
2 years ago
5

PLEASE HELP!! i will give brainliest!

Mathematics
1 answer:
Svetllana [295]2 years ago
3 0

21.

The angle has an opposite side of value 11 and an adjacent side of value x

We can then apply the formula tan 38° = opposite / adjacent

this gives us tan(38) = 11 / x

11/x = tan(38)

11 = x × tan(38)

x = 11 / tan(38)

x ≈ 14.1 (rounded to the nearest tenth)

And then we need to find the length of the hypotenuse, applying the theorem of Pythagoras. Let H be the hypotenuse, then :

H² = 14,1² + 11²

H² = 198,81 + 121

H = √(319,81)

H ≈ 17,9

Finally the area of the triangle will be (17,9 + 11) / 2 = 28,9 / 2 ≈ 14,45

You apply the same thing for 22 and 23

For 22 you use tan 55 = 15 / x

For 23 you use tan 23 = 7 / x

Good Luck !

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Answer/Step-by-step explanation:

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3 years ago
What should a size of a sample be in order to have a margin of error of 4% for a 90% confidence level from a population with a s
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Step-by-step explanation:

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Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

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Now, we find the margin of error M as such

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0.04 = 1.645*\frac{35}{\sqrt{n}}

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