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Solnce55 [7]
2 years ago
15

A gardener uses a rainwater collection barrel (storage container) shaped like a right cylinder to store water for his plants. Th

e barrel has a radius of 1.5 feet and a height of 3.5 feet. The gardener plans to build a small square fence so that the barrel just fits inside the square fence as shown here.
Which of the following is the best approximation of the perimeter of the fence the gardener will build?

A. 14 feet
B. 9 feet
C. 12 feet
D. 6 feet

Mathematics
1 answer:
Mariulka [41]2 years ago
6 0

Answer:

Option C

Step-by-step explanation:

Barrel (storage container) is enclosed in a small square fence.

Since, barrel is touching the surfaces from four sides of the cylindrical barrel.

Length of each side of the square fence = Diameter of the barrel

                                                                   = 2(radius of the barrel)

                                                                   = 2(1.5)

                                                                   = 3 feet

Perimeter of a square = 4(Side of a square)

                                     = 4(3)

                                     = 12 feet

Therefore, Option C will be the correct option.

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Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper, how many apples does Phoebe have?
Bezzdna [24]

Answer: Phoebe have 48 apples.

Explanation:

It is given that Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper.

Let the total number of apples be x.

The sum of the ratios is,

Sum=5+3+4=12

Therefore the number of apples shared by Pru, Piper, Phoebe are \frac{5}{12}x, \frac{3}{12}x,\frac{4}{12}x respectively.

It is given that Pru has 24 more apples than Piper, so

\frac{5}{12}x-\frac{3}{12}x=24

\frac{5-3}{12}x=24

\frac{2}{12}x=24

\frac{1}{6}x=24

x=144

Since phoebe have \frac{4}{12}x appels,

\frac{4}{12}x=\frac{4}{12}\times 144=48

Therefore, Phoebe have 48 apples.

8 0
3 years ago
Read 2 more answers
The teacher asks Mel and Kate to use base 10 blocks to model the number that is ten times the value of 4 rods. Mel's modle uses
AveGali [126]
Kate's model is correct because 10 times the value of 4 rods, 10(4(10)), is 400. Mel's model represents 4(1)=4, which is incorrect. Kate's model represents 4*100=400, which is correct.
Hope I answered your question!
4 0
2 years ago
? Don't Send links, don't Write random things and get the points for free.
alekssr [168]

Answer:

V = 1847.26\ ft^3

Step-by-step explanation:

Step 1:  Determine the volume

V=\pi r^2h

V = \pi *(7\ ft)^2 * (12\ ft)

V = \pi *49\ ft^2 * 12\ ft

V = \pi  * 588\ ft^3

V = 1847.26\ ft^3

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6 0
2 years ago
PLEASE ANSWER! I DONT UNDERSTAND
vfiekz [6]

Step-by-step explanation:

I think the answer is:

A. y=-3+2x

D. y=5x-4

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6 0
3 years ago
Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than u
Fynjy0 [20]

Answer:

The probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

Step-by-step explanation:

Given:

Weight of a given sample (x) = 2.33 oz

Mean weight (μ) = 1.75 oz

Standard deviation (σ) = 0.22 oz

The distribution is normal distribution.

So, first, we will find the z-score of the distribution using the formula:

z=\frac{x-\mu}{\sigma}

Plug in the values and solve for 'z'. This gives,

z=\frac{2.33-1.75}{0.22}=2.64

So, the z-score of the distribution is 2.64.

Now, we need the probability P(x\geq 2.33 )=P(z\geq  2.64).

From the normal distribution table for z-score equal to 2.64, the value of the probability is 0.9959. This is the area to the left of the curve or less than z-score value.

But, we need area more than the z-score value. So, the area is:

P(z\geq  2.64)=1-0.9959=0.0041=0.41\%

Therefore, the probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

5 0
3 years ago
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