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4 years ago

8

What is the height of the cylinder in the diagram? Round your answer to the nearest whole number.

2 answers:

ryzh [129]4 years ago

5 0

Answer:

$\mathrm{78.96 \: cm}$

Step-by-step explanation:

Cylinder volume formula is $\pi r^2h$

$\pi \times 6^2 \times h=904.78$

$36\pi \times h=904.78$

$h=904.78 \div 36\pi$

$h=78.95695$

Elina [12.6K]4 years ago

3 0

Answer:

8.00 cm

Step-by-step explanation:

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Point B lies between A and C. If AB = 15 units and AC = 50 units, what is the length of BC?

Alexxandr [17]

Answer:

BC = 35 units

Step-by-step explanation:

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3 years ago

One person can complete a typing project in 6 hours ,and another can complete the same project in 8 hours .How long will it take

Elan Coil [88]

It would take them precisely 7 hours

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3 years ago

BC = x + 14, AB = x + 10, AC = 22

irinina [24]

$ab = x + 10 \\ bc = x + 14 \\ ac = 22 \\ (x + 10) + (x + 14) = 22 \\ x + x + 10 + 14 = 22 \\ 2x + 24 = 22 \\ 2x = 22 - 24 \\ 2x = - 2 \\ x = \frac{ -2}{2} \\ x = - 1$

4 0

3 years ago

magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the respondents, % chose

Alex73 [517]

Complete Question

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 12 % chose chocolate pie, and the margin of error was given as plus or minus 5 percentage points.What values do $\r p , \ \r q$ , n, E, and p represent? If the confidence level is 90%, what is the value of $\alpha$ ?

Answer:

a

$\r p$ is the sample proportion $\r p = 0.12$

$n$ is the sample size is $n = 500$

$E$ is the margin of error is $E = 0.05$

$\r q$ represents the proportion of those that did not chose chocolate pie i.e $\r q = 1- \r p$

b

$\alpha = 10\%$

Step-by-step explanation:

Here

$\r p$ is the sample proportion $\r p = 0.12$

$n$ is the sample size is $n = 500$

$\r q$ represents the proportion of those that did not chose chocolate pie i.e

$\r q = 1- \r p$

$\r q = 1- 0.12$

$\r q = 0.88$

$E$ is the margin of error is $E = 0.05$

Generally $\alpha$ is the level of significance and it value is mathematically evaluated as

$\alpha = ( 100 - C )\%$

Where $C$ is the confidence level which is given in this question as $C = 90 \%$

So

$\alpha = ( 100 - 90 )\%$

$\alpha = 10\%$

5 0

3 years ago

the question is in the picture below, if you could show all your work so i can see how to do it, that would be appreciated.

ki77a [65]

m∠R = 27.03°

Solution:

Given In ΔQRP, p = 28 km, q = 17 km, r = 15 km

To find the measure of angle R:

Law of cosine formula for ΔQRP:

$r^{2}=p^{2}+q^{2}-2 pq \cos R$

Substitute the given values in the above formula.

$(15)^{2}=(28)^{2}+(17)^{2}-2 (28)(17) \cos R$

$225=784+289-952 \cos R$

$225=1073-952 \cos R$

Switch the given equation.

$1073-952 \cos R=225$

Subtract 1073 from both side of the equation.

$-952 \cos R=-848$

Divide by –952 on both sides.

$$ \cos R=\frac{106}{119}$

$$ R=\cos^{-1} \left(\frac{106}{119}\right)$

$R=27.03^\circ$

Hence m∠R = 27.03°.

7 0

4 years ago