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2 years ago

A cone has volume 12 cubic inches. Its height is 4 inches. What is its radius?

Mathematics

2 answers:

irina [24]2 years ago

8 0

The radius of the cubic is 2.9

Gekata [30.6K]2 years ago

6 0

the radius of this cone is 2.9

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Help pls! simplify -6 x^{2} ÷ 12 - 2(-7) a. -17 b. 35 c. -35 d. 11

Mariana [72]

Answer:

Step-by-step explanation:

Given: $\frac{-6^{2}}{12} -2(-7)$

Using PEDMAS rule to solve it.

Now, simplifying:

We first open parenthesis which is (-7) = -7

= $\frac{-6^2}{12}-2\times -7$

Now, we evaluate the exponent which is $-6^2=-36$

Next, we divide -36 by 12 to get -3

= $\frac{-36}{12}-2\times -7 \\= -3 -2\times -7$

Next, we multiply -2 and -7 to get 14

= $-3 + 14$

Lastly, we add -3 and 14 to get 11

= $11$

∴ Answer is 11

5 0

3 years ago

The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d

Ilya [14]

Answer:

It will take 9 years for the population to double

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

$2P_o=P_o(1+0.08)^t$

Simplifying:

$2=(1.08)^t$

Taking logarithms:

$\log 2=\log (1.08)^t$

Applying the exponent property of logs:

$\log 2=t\log (1.08)$

Solving for t:

$\displaystyle t=\frac{\log 2}{\log (1.08)}$

Calculating:

$t\approx 9$

It will take 9 years for the population to double

8 0

3 years ago

I dont know how to do this pls help

Alecsey [184]

Answer:

1) 225

2) 2304

Step-by-step explanation:

Use geometric mean of legs

$x = \sqrt{(16+9)^2 * 9^2} = \sqrt{25^2 * 9^2} = 25 * 9 = 225$

Use geometric mean of altitude

$x = \sqrt{(100-36)^2 * 36^2} = \sqrt{64^2 * 36^2} = 64 * 36 = 2304$

5 0

3 years ago

1. Use the figure below to answer the questions. (a) Solve for x.

Dmitry [639]

Let's see what to do buddy...

_________________________________

The sum of the angles of each n-sided figure is found in the following equation :

$(n - 2) \times 180$

The question's figure is 5-sindes figure

so the sum the angles equal :

$(5 - 2) \times 180 = 3 \times 180 = 540 \\$

So we have :

$90 + 107 + 144 + 138 + x = 54 0 \\$

$479 + x = 540$

Subtract the sides of the equation minus 479

$x = 540 - 479$

$x = 61$

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

5 0

3 years ago

20 points!!!

UkoKoshka [18]

150.

You can read the uppermost point on the graph which is pretty much that point.

4 0

3 years ago

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