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3 years ago

The volume of a cylinder is 4pix^3 cubic units and its height is x units.

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

4 0

Answer:

$r = 2x$

Step-by-step explanation:

The volume of the cylinder is given by the following formula:

$V = \pi\cdot r^{2}\cdot h$

By comparing each variable, height and radius of the cylinder are, respectively:

$h = x$

$r = 2x$

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A square has an Area of 225

natta225 [31]

<h2>Answer:</h2>

<h2>Explanation:</h2>

25 because that's the only number that can evenly go into 225

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2 years ago

The question is in the screenshot

Sidana [21]

Answer:

b. -36/77

Step-by-step explanation:

As 0 < x < $\pi$ /2 => tan x > 0

As 0< y < $\pi$ /2 => tan y > 0

We have the formula:

$\frac{1}{sin^{2}x } =1 + cot^{2}x$ => $\frac{1}{(8/17)^{2} }$ = $1+cot^{2}x$ => $cot^{2} x=225/64$

As tan x = 1/(cotx) => $tan^{2}x = \frac{1}{cot^{2}x} =\frac{1}{225/64} = \frac{64}{225}$

As tan x > 0 => tan x = 8/15

$\frac{1}{cos^{2}y } = 1+tan^{2}y$ => $\frac{1}{(3/5)^{2} } = 1 + tan^{2} y$ => $tan^{2}y=\frac{16}{9}$

As tan y > 0 => tan y = 4/3

As tan (x-y)= $\frac{tan x - tan y}{1+ tanx * tany}$ $=\frac{(8/15)-(4/3)}{1+(8/15)*(4/3)} = \frac{-36}{77}$

8 0

3 years ago

Which ratio shows tangent if angle A.

Alexandra [31]

Answer:

8/15

Step-by-step explanation:

tangent = opposite/adjacent,

so tan(A) = 8/15

6 0

3 years ago

The test statistic of z= -2.39 is obtained when testing the claim that p<0.52.

krek1111 [17]

Considering the situation described, we have that:

a) The critical value is of z = -1.645.

b) Since the test statistic is less than the critical value, we should reject the null hypothesis H0.

<h3>What is the critical value?</h3>

We have a left-tailed test, as we are testing if the proportion is less than a value. Hence the critical value is z with a p-value equals to the significance level, hence z with a p-value of 0.05, hence z = -1.645.

<h3>What is the decision?</h3>

Considering the test statistic, for a left-tailed test, we have that:

Less than the critical value: Reject H0.

Equal or greater: Do not reject.

In this problem, z = -2.39 is less than -1.645, hence we should reject the null hypothesis H0.

More can be learned about the test of an hypothesis at brainly.com/question/13873630

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1 year ago

An apartment building contains 12 units consisting of 1-2 bedroom apartments that rent for $360 and $450 per month, respectively

qwelly [4]

The number of 2 bedroom apartments is 7.
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4 0

3 years ago

Read 2 more answers