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g100num [7]
3 years ago
15

Let ∠X and ∠Y be complementary. If sin(X) =

Mathematics
1 answer:
Lena [83]3 years ago
8 0
<h3>Answer:</h3>

sin(Y) = 4/5

<h3>Step-by-step explanation:</h3>

The sine of one of a pair of complementary angles is equal to the cosine of the other. Given that ∠X and ∠Y are complementary, sin(Y) = cos(X) = 4/5.

_____

You can figure this from SOH CAH TOA, the mnemonic that reminds you of the definitions of the trig functions. The adjacent leg for one of the acute angles in the right triangle is the opposite leg for the other angle.

... Sin = Opposite/Hypotenuse

... Cos = Adjacent/Hypotenuse

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Find x, round to the nearest tenth degree.
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Step-by-step explanation:

Use the Law of Cosines

A = arccos[(10²+14²-9.6²)/(2×10×14) ≅ 43.3°

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3 years ago
Work out whats 2f-4g
choli [55]

Step-by-step explanation:

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2 years ago
The difference of two numbers is 596. The smaller of the numbers is 716. What is the other number?
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3 years ago
Suppose that a random sample of 10 adults has a mean score of 62 on a standardized personality test, with a standard deviation o
aniked [119]

Answer:

The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

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

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*\frac{4}{\sqrt{10}} = 2.08

The lower end of the interval is the sample mean subtracted by M. So it is 62 - 2.08 = 59.92

The upper end of the interval is the sample mean added to M. So it is 62 + 2.08 = 64.08.

The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.

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2 years ago
Algebra: Solve for x
Irina-Kira [14]

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2

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
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