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V125BC [204]
3 years ago
14

A rose garden is formed by joining rectangle and a semicircle, as shown below. The rectangle is 29 ft long and 21 ft wide. If th

e gardener wants to build a fence around the garden, how many feet of fence are required? (Use the value 3.14 for n, and do not round your answer.)
Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

Answer:

The answer to your question is 116.53 ft

Step-by-step explanation:

Data

length = 29 ft

width = 21 ft

π = 3.14

Process

1.- Calculate perimeter of the rectangle and subtract 1 length

Perimeter of the rectangle = 2l + 2w - l

Perimeter of the rectangle = 2(29) + 2(21) - 29

                                            = 58 + 42 - 29

                                            = 71 ft

2.- Calculate the perimeter of a semicircle

Perimeter = 2πr/2 = πr

radius = r = 29/2

               = 14.5 ft

Perimeter = (3.14)(14.5)

                 = 45.53 ft

3.- Calculate the total length of the fence

fence = 45.53 + 71

          = 116.53 ft

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If the cubes are die such that each face has numbers from 1 to 6. Rolling two of them, there are 6x6 or 36 ways in which they may be arranged. For their numbers to sum to 7, the numbers should be 1 and 6, 2 and 5, 2 and 6, 3 and 4, 3 and 5, 3 and 6, 4 and 3, 4 and 4, 4 and 5, 4 and 6, 5 and 2, 5 and 3, 5 and 4, 5 and 5, 5 and 6, 6 and 1, 6 and 2, 6 and 3, 6 and 4, 6 and 5, 6 and 6. All in all there are 21 out of 36 and the probability is equal to 7/12. 
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3 years ago
What is the distance between the points (-2,4) and (6,-4), rounded to the nearest tenth
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Answer:

  11.3 units

Step-by-step explanation:

The distance can be found using the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((6 -(-2))² +(-4-4)²) = √(8² +(-8)²) = √(64·2)

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What is the solution set of the following equation -8x + x + 15 = -7x + 12
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3 years ago
Use the distributive property to solve the equation 28-(3x+4)=2(x+6)+x. Show your work.
Gre4nikov [31]

Answer:

x=2

Step-by-step explanation:

28−(3x+4)=2(x+6)+x

We need to use the distributive property for the right side.

28−3x−4=(2)(x)+(2)(6)+x)

28−3x−4=2x+2+x

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From here we need to subtract 3x from both side.

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Finally, divide both sides by −6

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3 years ago
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