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3 years ago

Find sin(C). round to the nearest hundredth if necessary.

Mathematics

2 answers:

natka813 [3]3 years ago

6 0

For this case we have to define trigonometric relations of rectangular triangles that the sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle. That is to say:

$Sin (C) = \frac {5} {13}\\Sin (C) = 0.38$

Answer:

Option A

Basile [38]3 years ago

5 0

Answer:

A) 0.38

Step-by-step explanation:

By SOH CAH TOA, the <em>sine of an angle is its opposite side divided by the hypotenuse</em>.

<em>The opposite of ∠C is 5, and the hypotenuse is 13</em>.

So, sin(C) = 5/13 ≈ 0.38.

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Evaluate log base 12 of y^2, given log base 12=16

Ostrovityanka [42]

Answer:

y = 12^8

Step-by-step explanation:

Log base 12, y^2 = 16

y2 = 12^16

y = sqrt ( 12^16) = (12^16)^1/2

y = 12^8

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3 years ago

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted t

LekaFEV [45]

Answer:

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

At the null hypothesis, we test if the mean is the same, that is:

$H_0: \mu = 59.5$

At the alternate hypothesis, we test that it is different, that is:

$H_a: \mu \neq 59.5$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

59.5 is tested at the null hypothesis:

This means that $\mu = 59.5$

After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.

This means that $n = 250, X = 59.2, \sigma = 1.9$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}$

$z = -2.5$

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

2*0.0062 = 0.0124

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

5 0

3 years ago

Can someone please help me with this problem

Archy [21]

I think its A because if you think about it 6 and 12 its a easy possiblility so it is A i think

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3 years ago

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A restaurant has 10 sodas that come in 12 different cup sizes. How many different drinks can you order?

uranmaximum [27]

Answer:

There are 120 different drinks that you can order.

Step-by-step explanation:

You have 10 options of soda for which you can choose.

For each options, there are 12 different cup sizes.

12*10 = 120

So there are 120 different drinks that you can order.

3 0

3 years ago

a rectangular sign has a length of 3 and 1/2 ft and width of 1 and 1/8 ft will the area of the sign be greater or less than 3 an

svetoff [14.1K]

Answer:

The area is 3.9375 cubic ft, so yes, the area will greater than 3 and 1/2 ft.

Hope this helps:)

Step-by-step explanation:

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3 years ago

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