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2 years ago

Please help find volume of cone

Mathematics

1 answer:

Fudgin [204]2 years ago

5 0

Answer:

5275.2 m³

Step-by-step explanation:

We need the radius first:

$\sqrt{l^2- h^2}$ = 12

Formula for volume = πr²*h/3

Volume = 3.14 * 144 * 35/3

Volume = 5275.2

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Let F(x) = 3x + 5 and g(x) = x^2

Hoochie [10]

Answer:

x/8x+8 domain is the set of all real numbers except -5/3

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2 years ago

You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the a

svetoff [14.1K]

Answer:

$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

Step-by-step explanation:

We have the following info:

$ME = 50$ margin of error desired

$\sigma = 1000$ the standard deviation for this case

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=0.01$ . And for this case would be $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

5 0

2 years ago

X squared plus 5x plus 6 in a factor of binomials

Nadusha1986 [10]

Answer:

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Step-by-step explanation:

Given

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The factors are + 3 and + 2 , since

3 × 2 = 6 and 3 + 2 = 5 , thus

x² + 5x + 6 = (x + 3)(x + 2)

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2 years ago

Given: l || m; ∠1 ∠3

Katarina [22]

The parts that are missing in the proof are:

It is given

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<h3>What is the Converse of Alternate Exterior Angles Theorem?</h3>

The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.

∠1 ≅ ∠3 and l║m because we are: given

By the transitive property,

∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.

Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.

Therefore, the missing parts pf the paragraph proof are:

It is given
∠2 ≅ ∠3
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Learn more about the converse alternate exterior angles theorem on:

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2 years ago

Solve for x and y. What is m

irina [24]

3x + 2y + y - 3x = 180

3y = 180

y = 180/3

y = 60

3x = y - 3x

Let y = 60

3x = 60 - 3x

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6x = 60

x = 60/6

x = 10

Answer: x = 10, y = 60

4 0

2 years ago