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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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19. If the pg", and "terms of an A.P. are a,b, and c respectively. prove that: p(b-c) + (ca) + rſa-b) = 0 50 Approved by Curricu
professor190 [17]

Answer:

Step-by-step explanation:a = m + (p-1)*d

b = m + (q-1)*d

c = m + (r-1)*d

p(b-c) = p*(q-r)*d

q(c-a) = q*(r-p)*d

r(a-b) = r*(p-q)*d

p(b-c)+q(c-a)+r(a-b)

= p*(q-r)*d + q*(r-p)*d +r*(p-q)*d

= (pq-pr+qr-pq+rp-qr)*d

= 0*d = 0

So i prove p(b-c)+q(c-a)+r(a-b)=0 hope this is helpfull

4 0
3 years ago
A nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. Which walk is
MArishka [77]

Answer:

Evening walk is shorter.  

Step-by-step explanation:

We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.

Let us compare both fractions by making the same denominator.

\text{Two-thirds}=\frac{2}{3}

\text{Two-thirds}=\frac{2\times2}{3\times2}

\text{Two-thirds}=\frac{4}{6}

\text{Three-sixth}=\frac{3}{6}

Upon making common denominator, we can see that two-thirds are equal to four sixths.

Since three-sixths is less than four-sixths, therefore, evening walk is shorter.

We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.

We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.

Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.

5 0
3 years ago
What is the rate of change?
slega [8]

Answer:

X= -1. Y=-5

Step-by-step explanation:

The x decreases by -1 and the y decreases by -5 .

3 0
3 years ago
PLEASE ANSWER QUICKLY!!The diameter, D, of a sphere is 10.4 mm. Calculate the sphere's volume, V.
Svetlanka [38]

Answer:

About 588.7 mm^3

Step-by-step explanation:

The formula for the volume of a sphere is (4/3)*pi (or in this case 3.14)*r^3, where r is the radius.

We need the radius. We are given the diameter, 10.4.

The radius is half the diameter, so 10.4/2=5.2.

Use r=5.2 and put it into the formula:

(4/3)*3.14*5.2^3≈588.7

5 0
3 years ago
Read 2 more answers
18 football teams who play each other twice. how many matches are played
tekilochka [14]

Answer:

Total number of matches = 306 matches

Step-by-step explanation:

Given:

Total number of team = 18

Per team number of play = 2

Find:

Total number of matches

Computation:

Total number of matches = [(Total number of team x 2)(Total number of team -1)]/2

Total number of matches = [(18 x 2)(18-1)]/2

Total number of matches = 612 / 2

Total number of matches = 306 matches

5 0
2 years ago
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