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3 years ago

What is the answer?

Mathematics

1 answer:

Alex73 [517]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

k=3, giving 3, 4, 5 as the three integers.

He should have used k + (k+2) + (k+4) = 4k

which gives k = 4 and the correct answer is

4, 6, 8

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I suck at geometry can someone help??

dezoksy [38]

Answer:

Last option is the correct answer

Step-by-step explanation:

None of these choices are correct.

Correct order would be,

Since,

58° < 59° < 63°

Therefore,

AC < CB < AB

AC, CB, AB (this is the correct order of the sides from shortest to longest.)

5 0

3 years ago

Gas is escaping from a spherical balloon at the rate of 12 ft3/hr. At what rate (in feet per hour) is the radius of the balloon

bija089 [108]

Answer:

This is the rate at which the radius of the balloon is changing when the volume is 300 $ft^3$ $\frac{dr}{dt}=-\frac{3}{225^{\frac{2}{3}}\pi ^{\frac{1}{3}}} \:\frac{ft}{h} \approx -0.05537 \:\frac{ft}{h}$

Step-by-step explanation:

Let $r$ be the radius and $V$ the volume.

We know that the gas is escaping from a spherical balloon at the rate of $\frac{dV}{dt}=-12\:\frac{ft^3}{h}$ because the volume is decreasing, and we want to find $\frac{dr}{dt}$

The two variables are related by the equation

$V=\frac{4}{3}\pi r^3$

taking the derivative of the equation, we get

$\frac{d}{dt}V=\frac{d}{dt}(\frac{4}{3}\pi r^3)\\\\\frac{dV}{dt}=\frac{4}{3}\pi (3r^2)\frac{dr}{dt} \\\\\frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}$

With the help of the formula for the volume of a sphere and the information given, we find $r$

$V=\frac{4}{3}\pi r^3\\\\300=\frac{4}{3}\pi r^3\\\\r^3=\frac{225}{\pi }\\\\r=\sqrt[3]{\frac{225}{\pi }}$

Substitute the values we know and solve for $\frac{dr}{dt}$

$\frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}\\\\\frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2} \\\\\frac{dr}{dt}=-\frac{12}{4\pi (\sqrt[3]{\frac{225}{\pi }})^2} \\\\\frac{dr}{dt}=-\frac{3}{\pi \left(\sqrt[3]{\frac{225}{\pi }}\right)^2}\\\\\frac{dr}{dt}=-\frac{3}{\pi \frac{225^{\frac{2}{3}}}{\pi ^{\frac{2}{3}}}}\\\\\frac{dr}{dt}=-\frac{3}{225^{\frac{2}{3}}\pi ^{\frac{1}{3}}} \approx -0.05537 \:\frac{ft}{h}$

7 0

4 years ago

Use | = PRT to solve. (time is in years) P = $2,000 R = 15% Find I. T = 2 years

irga5000 [103]

Answer:

$600

Step-by-step explanation:

I = 2000(.15)(2)

I = 600

6 0

3 years ago

8th Grade

Eddi Din [679]

Answer: The second and third options are the equations with x=3

Step-by-step explanation:

8 0

3 years ago

Which of the following terms correctly describe the figure given below? (geometry) First answer gets brainliest!

a_sh-v [17]

B, D, E. Rectangle and polygon are 2 dimensional and its obviously not a pyramid.

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4 years ago