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3 years ago

What is x on this right triangle? Round to the nearest tenth.

Mathematics

2 answers:

MArishka [77]3 years ago

8 0

Answer:

x ≈ 38.7°

Step-by-step explanation:

Using the tangent ratio in the right triangle.

tanx = $\frac{opposite}{adjacent}$ = $\frac{8}{10}$ , thus

x = $tan^{-1}$ ( $\frac{8}{10}$ ) ≈ 38.7° ( to the nearest tenth )

Naya [18.7K]3 years ago

3 0

Answer:

= 109.5 to the nearest tenth.

Step-by-step explanation:

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Answer:

(a) Margin of error ( E) = $2,000 , n = 54

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Step-by-step explanation:

Given -

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Squaring both side

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n = 54.0225

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(b) Margin of error ( E) = $1,000

E = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

1000 = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$1000^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{1000^{2}} \times 7500^{2}$

n = 216

E = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

500 = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$500^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{500^{2}} \times 7500^{2}$

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3 years ago

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Answer:

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