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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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Answer:

$109.71

Step-by-step explanation:

first we find the perimeter

=2(280+200)

=2×480

=960m

now we multiply it by 4 as he wants it 4 times around

960×4

3840

now we find the fencing cost

since 35 per meter we divide it by 35

3840/35

=$<u>109.71</u>

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Answer:

<u>36 in²</u>

Step-by-step explanation:

<u>Area of the figure</u>

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  • 3 x 2 + 30
  • 6 + 30
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2 years ago
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The value of 3√343 is (a) 8 (b)7 (c)6 (d)3​
fredd [130]
The answer will be 3.
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3 years ago
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The height of a sunflower is normally distributed with a mean of 14.2 feet and a standard deviation of 2.15. What is the probabi
tekilochka [14]

Answer:

0.153

Step-by-step explanation:

Chjmk

In this question, we are asked to calculate the probability of selecting a sunflower greater than a particular height.

What to do in this case is to first find the z-score based on this information given.

Mathematically,

Z-score = x- mean/standard deviation

Here, z-score will have a value of;

(16.4-14.2)/2.15 = 1.023

Therefore,

P(height >16.4ft) = P(Zscore >1.023) = 1-Fz(1.023) = 0.153

4 0
3 years ago
What is the solution to the following system of equations 4x + 2 = -2y 6y - 18 = 6x
Pavel [41]

Answer:

The solution to the system of equations are;

x = -4/3

y = 5/3

Step-by-step explanation:

To find the Solution, we would carry the Operation simultaneously.

4x + 2 = -2y .........(i)

6y - 18 = 6x ..........(ii)

First let's rearrange the equations, to make the journey smoother

2y + 4x = -2 ...........(iii)

6y - 6x = 18 ...........(iv)

Let's Multiply equation (III) by 3 so as to have a uniform spot to begin elimination.

3.2y + 3.4x = -2 . 3

6y + 12x = -6............... (v)

Let's subtract equation (v) from equation (iv)

= 0y - 18x = 24

-18x = 24

x = - 24 / 18

x = -4/3

Let's substitute (x = -4/3) in equation (ii), so that we can solve for the value of y:

6y - 18 = 6x

6y - 18 = 6 (-4/3)

6y - 18 = -8

6y = -8 + 18

6y = 10.

y = 10 / 6

y = 5/3

The solution to the system of equations are;

x = -4/3

y = 5/3

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