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3 years ago

Fill in the blank. increasing the side length of a cube by a factor of 3 increases the volume by a factor of ___________.

1 answer:

german3 years ago

6 0

We have that
scale factor=3

we know that
[volume new cube]=[scale factor]³*[volume original cube]
[volume new cube]=[3]³*[volume original cube]-----> 27*[volume original cube]

the answer is
<span>the volume increases by a factor of 27</span>

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Find the pair of numbers whose sum is 68 and whose product is a maximum.

Aleksandr-060686 [28]

34 and 34 I’m pretty sure

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3 years ago

toni can carry 15 lb in her backpack.her lunch weighs 1 lb, her gym clothes weigh 2 lb ,and her books weigh 3lb each. how many b

MakcuM [25]

15-3=12

12/3=4

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3 years ago

Someone help please:

frozen [14]

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

Cone volume:

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

r is the radius and h is the inches.

Skinny-size cone:

Radius is r, height h. So

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

Sharing size:

Radius is now 3r. So

$V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h$

How many times more popcorn?

$r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9$

The sharing cone holds about 9 times more popcorn than the skinny cone.

6 0

3 years ago

You have a set of 10 cards numbered 1 to 10. You choose a card at random. Event A is

Evgesh-ka [11]

Answer:

35% or 35/100

Step-by-step explanation:

Gage Millar, Algebra 2 tutor

Choosing a number LESS than (not equal to 8) is 7/10 (1,2,3,4,5,6,7)

Chosing an even number is 5/10 (2,4,6,8,10)

so just multiply 7/10 x 5/10 to get 35 over 100, or a 35% chance

6 0

3 years ago

No absurd answers. 100 points. Just answer it and tell me how you got it.

nikklg [1K]

Answer:

sin-32/40

cos-24/40

tan-32/24

Step-by-step explanation:

SOHCAHTOA

sin is opposite over the hypotenuse

cosine is adjacent over hypotenuse

tan is opposite over adjacent

plug in the numbers corresponding with angle B and you get your formulas

so sorry if my explanation was bad

3 0

3 years ago

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