Aisha is buying corn seed packs sold in boxes of 100. She has 400 packs, but she needs a total of 600

A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.

Tanzania [10]

Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.

Step-by-step explanation:

The volume of a cone can be calculated with this formula:

$V=\frac{\pi r^2h}{3}$

Where "r" is the radius and "h" is the height.

We know that the radius is half the diameter. Then:

$r=\frac{12cm}{2}=6cm$

We know the volume and the radius of the conical container, then we can find "h":

$120\pi cm^3=\frac{\pi (6cm)^2h}{3}\\\\(3)(120\pi cm^3)=\pi (6cm)^2h\\\\h=\frac{3(120\pi cm^3)}{\pi (6cm)^2}\\\\h=10cm$

The diameter and height doubled are:

$d=12cm*2=24cm\\h=10cm*2=20cm$

Now the radius is:

$r=\frac{24cm}{2}=12cm$

And the container capacity is

$V=\frac{\pi (12cm)^2(20cm)}{3}=960\pi cm^3$

Then, to compare the capacities, we can divide this new capacity by the original:

$\frac{960\pi cm^3}{120\pi cm^3}=8$

Therefore, the container's capacity would be 8 times its original capacity.

6 0

3 years ago

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− 3 x − 4 + 8 x 3 + 7 x 2 − x 4 -3x-4+8x3+7x2-x4

Elan Coil [88]

The answer is: 62x-8

7 0

3 years ago

PLEASE HELP ME!!!!

tigry1 [53]

1/8x2 and 4x I had usa test prep

6 0

2 years ago

Read 2 more answers

drag the gray arrow so that it is pointing midway between horizontal and vertical, heading downward and toward the right. extend

alex41 [277]

The speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.

A star moving away from the observer (say on Earth) will have its emitted light red-shifted (move to lower frequency), i.e., the spectrum moving to left if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.

A star moving towards the observer (say on Earth) will have its emitted light blue-shifted (move to higher frequency), i.e., the spectrum moving to the right if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.

A star moving perpendicular to the observer (say on Earth) will have its emitted light will no change with respect to the spectrum of the stationary star.

These are due to the Doppler effect, the equation of frequency detected by the observer as

$f_o = f_s\sqrt{\frac{1-\beta }{1+\beta } }$ where $\beta = \frac{v}{c}$ , v the relative velocity of the moving source (the star here), f^s is the frequency of light emitted by the source.

Hence the answer is the speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.

To learn more about frequency click here brainly.com/question/26177128

#SPJ4

7 0

1 year ago

A branch 310 feet above the ground breaks off the top of a giant sequoia tree and falls straight to the ground. About how long i

Inga [223]

Answer:

I think it’s 8.6 s I don’t really know

Step-by-step explanation:

7 0

2 years ago