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Taya2010 [7]
3 years ago
10

Find the missing side lengths

Mathematics
1 answer:
MAXImum [283]3 years ago
8 0

Answer:

<u>u</u><u> </u><u>is</u><u> </u><u>1</u><u>7</u><u>√</u><u>2</u><u> </u><u>and</u><u> </u><u>v</u><u> </u><u>is</u><u> </u><u>1</u><u>7</u>

Step-by-step explanation:

To find u:

{ \bf{ \sin( \theta) =  \frac{opposite}{hypotenuse}  }}

feed in the terms:

\sin(45 \degree)  =  \frac{17}{u}  \\  \\ u =  \frac{17}{ \sin(45 \degree) }   \\ \\ u = 17 \sqrt{2}

To find v:

\cos( \theta)  =  \frac{adjacent}{hypotenuse}

feed in the terms:

\cos(45)  =  \frac{v}{u}  \\  \\ v = u. \cos(45)  \\ v = (17 \sqrt{2} )÷( \sqrt{2} ) \\ v = 17

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Work out the volume of this sphere?
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Step-by-step explanation:

v =  \frac{4}{3} \pi {( \frac{19}{2} )}^{3}  \\ v =  \frac{4}{3} \pi \: 857.375 = 3591.364  \\ = 3591.4 \:  {cm}^{3}

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3 years ago
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Step-by-step explanation:

5 0
3 years ago
Jim drove 204 miles in 4 hours. If he can keep the same pace how long will it take him to drive 918 miles
SSSSS [86.1K]
18 hours.

Proportions and stuff.

\frac{204}{4} = \frac{918}{x}

Cross multiply,

204x = 918 * 4

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3 years ago
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pantera1 [17]

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Step-by-step explanation:

7 0
2 years ago
Describe the sampling distribution of p(hat). Assume the size of the population is 30,000.
Naya [18.7K]

Answer:

a) \mathbf{\mu_ \hat p = 0.6}

b) \mathbf{\sigma_p =0.01732}

Step-by-step explanation:

Given that:

population mean \mu = 30,000

sample size n = 800

population proportion p = 0.6

a)

The mean of the the sampling distribution is equal to the population proportion.

\mu_ \hat p =  p

\mathbf{\mu_ \hat p = 0.6}

b)

The standard deviation of the sampling distribution can be estimated by using the formula:

\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}

\sigma_p = \sqrt{\dfrac{0.6(1-0.6)}{800}}

\sigma_p = \sqrt{\dfrac{0.6(0.4)}{800}}

\sigma_p = \sqrt{\dfrac{0.24}{800}}

\sigma_p = \sqrt{3 \times 10^{-4}}

\mathbf{\sigma_p =0.01732}

7 0
3 years ago
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