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soldier1979 [14.2K]
2 years ago
15

Annie is filling flower pots with soil. Each flower pot is shaped like a cylinder. Just like the one here below. The radius is 2

inches and the height is 6 inches. Annie has 200 cm3 of soil. How many flower pots can she completely fill with that much soil? No partial fills allowed.
Mathematics
1 answer:
Anna [14]2 years ago
5 0

Answer:

  • None

Step-by-step explanation:

<u>Given:</u>

  • Radius r = 2 in =  2*2.54 cm = 5.08 cm
  • Height h = 6 in = 6*2.54 cm = 15.24 cm
  • Volume of soil V = 200 cm³

<u>Find the volume of one pot:</u>

  • V = πr²h
  • V = 3.14*5.08²*15.24 = 1234.92 cm³

From the number above we see the volume of each pot is greater than the volume of soil Ann has, so she can't fill any.

The answer is zero

<em>Note. If the volume unit of soil was in³ the answer would be different</em>

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vova2212 [387]

Answer:

the answer is 40√3feet per second

Step-by-step explanation:

v=√16.√300

v= 4. 10√3

NB:10√3=√100 .√3=√100.3= √300

Hence v =40√3ft per second

3 0
2 years ago
Akira Chang's uncle dies without a will, leaving an estate of $945,000. His heirs consist of a wife and two adult children. His
OLEGan [10]
Let w represent the amount the wife receives.
.. w +2*(2/3*w) = 945,000
.. 7/3w = 945,000
.. w = (3/7)*945,000 = 405,000

The wife will receive $405,000.
5 0
3 years ago
How would u find 20% of the regular price? what would you do with this amount to find the sale price
hjlf

Answer:

you would multiply the price by .20

Step-by-step explanation:

example:

20% of $160

sale, 20% off

160 x .20 = 32

$32 is 20% of $160, $128 is the sale price

3 0
3 years ago
Can you solve this? I need help. I don't understand.
ZanzabumX [31]

Answer:

2 sqrt(5) OR 4.5

Step-by-step explanation:

You have to know Pythagorean theorem to solve this question.

a^2 + b^2 = c^2

To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:

b^2 + 8^2 = 10^2

But it would've come out the same. The unlabeled side is 6.

We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.

4^2 + x^2 = 6^2

16 + x^2 = 36 subtract 16 from both sides.

x^2 = 20

Take the square root of both sides.

sqrt (x^2) = sqrt 20

x = 2 sqrt(5) which is approximately 4.472.

2 sqrt(5) is an exact answer if that is what they are asking for. 4.472 is an approximation to the nearest thousandth. It would be 4.47 to the nearest hundredth or 4.5 to the nearest tenth.

8 0
2 years ago
Match each operation involving f(x) and g(x) to its answer
eimsori [14]

Answer:

(g-f) (-1)= sqrt(15)

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(g*f)(2)=-3*sqrt(3)

Step-by-step explanation:

We have to eval the expressions given in the point indicated.

Lets start by the first equation

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Now, lest continue with the others

(f/g)(-1)= f(-1)/g(-1)= (1-1)/sqrt(15)=0

(g+f)(2)=g(2)+f(2)=sqrt(3)-3

(g*f)(2)=g(2)*f(2)=sqrt(3)*(-3)=-3sqrt(3)

3 0
3 years ago
Read 2 more answers
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