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Fofino [41]
3 years ago
6

A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 31 ft long and 20 ft wide. If

the gardener wants to build a fence around the garden, how many feet of fence are required?
(Use the value for 3.14 , and do not round your answer. Be sure to include the correct unit in your answer.)
Mathematics
1 answer:
vekshin13 years ago
7 0

Answer:

133 ft

Step-by-step explanation:

Given in the question,

length of the rectangle = 31 ft

width of the rectangle= 20 ft

diameter of semicircle = 20 ft

radius of semicircle = 20/2 ft = 10 ft

Formula to use:

<h3>perimeter of rectangle + perimeter of semicircle</h3>

perimeter of rectangle = 2(l+w)

perimeter of semicircle = 1/2(2πr)

Plug values in the formula above

2(31 + 20) + 3.14(10)

133.4 ft

≈ 133 ft

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Find the permeter of a quadrilateral with vertices at C (2,4), D(1,1), E(5,0), and F(3,4). Round your answer to the nearest hund
denpristay [2]

Answer:

12.76

Step-by-step explanation:

This is much easier to solve if you draw it out on a graph. The perimeter is the sum of all the sides. I used the Pythagorean theorem to find the hypotenuse.

{a}^{2}  +  {b}^{2}  =  {c}^{2}  \\ c =  \sqrt{ {a}^{2} +  {b}^{2}  }

dc =  \sqrt{ {3}^{2}  +  {1}^{2} }  =  \sqrt{10}  \\  cf = 1 \\ fe =  \sqrt{ {4}^{2}  +  {2}^{2} }  =  \sqrt{20}  \\ de =  \sqrt{ {1}^{2} +  {4}^{2}  }  =  \sqrt{17}  \\  \sqrt{10}  + 1 +  \sqrt{20}  +  \sqrt{17}  = 12.76

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3 years ago
What is the length of segment AB?
allochka39001 [22]
The answer to this question is 8
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Sarah jogged 4.8 miles each day for 22 days last month. How many miles did Sarah jog in total?
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105.6

hope this helps

have a good day :)

Step-by-step explanation:

8 0
3 years ago
Need help ASAP! Directions in picture ;)
GuDViN [60]
The supplement of < 72 has the same measure as < (4x + 8). Therefore, < (4x + 8) must equal 108°. We can establish the following equality statement to solve for x:

< (4x + 8) + < 72° = 180°

Combine like terms:
4x + 80 = 180°

Subtract 80 from both sides:

4x + 80° - 80° = 180° - 80°

4x = 100

Divide both sides by 4 to solve for x:

4x/4 = 100/4

x = 25

To verify whether the value of x is correct, substitute its value into the equality statement:

< (4x + 8)° + < 72° = 180°

< [4(25) + 8]° + < 72° = 180°

< (100 + 8)° + < 72° = 180°

< 108° + < 72° = 180°

180° = 180° (True statement. Therefore, the correct answer is x = 25).

Please mark my answers as the Brainliest if you find this helpful :)
6 0
2 years ago
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