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FromTheMoon [43]
3 years ago
5

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:
forsale [732]3 years ago
8 0
<h3>Answer:</h3>

133 ft

<h3>Step-by-step explanation:</h3>

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

<h3>Formula to use:</h3>

perimeter of rectangle + perimeter of semicircle

perimeter of rectangle = 2(l+w)

perimeter of semicircle = 1/2(2πr)

<h3>Plug values in the formula above</h3>

2(31 + 20) + 3.14(10)

133.4 ft

≈ 133 ft

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When y=7.5 x=2 what is the value of y when x is 2 1/4
swat32
<h2>Answer:</h2>

The value of y is 8.4375

<h2>Step-by-step explanation:</h2><h3>Known :</h3>
  • y = 7.5
  • x = 2

<h3>Asked :</h3>
  • The value of y when x is 2.25

<h3>Solution :</h3>

2/7.5 = 2.25/y

Do a cross multiplication,

2/7.5 = 2.25/y

=> 20/75 = 2.25/y

=> 75 . 2.25 = 20y

=> 168.75 = 20y

Reverse the equation,

168.75 = 20y

=> 20y = 168.75

Find the value of y,

20y = 168.75

=> y = 8.4375

<h3>Conclusion :</h3>

y = 8.4375

7 0
2 years ago
Prove that the difference between a two-digit number and the product of its digits will always be a 2 digit number.
slamgirl [31]

Step-by-step explanation:

Let the two-digit number is xy

<u>This can be written as:</u>

  • 10x + y, where 1 ≤ x ≤ 9 and 0 ≤ y ≤ 9

<u>The difference between the number and product of its digits is:</u>

  • d = 10x + y - xy

<u>Rewrite this as below:</u>

d = 10x - xy + y - 10 + 10 =

     x(10 - y) - (10 - y) + 10 =

     (x - 1)(10 - y) + 10

<u>We see that:</u>

  • 0 ≤ x - 1 ≤ 8 according to the condition given above
  • 1 ≤ 10 - y ≤ 10 again according to the condition given above

<u>The value of d is then:</u>

  • 0 + 10 ≤ d ≤ 8*10 + 10
  • 10 ≤ d ≤ 90
<h3>Proved</h3>
7 0
2 years ago
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Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base
m_a_m_a [10]

Answer:

Answer Cone Z and Cylinder Y.

Step-by-step explanation:

The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.

The formula for the volume of the cone is :

V = 1/3πr^{2}h

The formula for the volume of the cylinder is :

V = πr^{2}h

Let be the height of the cylinder Y. Therefore the height of the cone Z is 3h, when we put it into the formula we get :

V = 1/3πr^{2} (3h) = πr^{2}h

Therefore Cone Z and Cylinder Y have same volume.

8 0
3 years ago
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Someone help me with this ASAP!!!
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the new price of the bike is $380

7 0
3 years ago
What is 1 1/2 divided by 8
fomenos

Answer:

3/16

Step-by-step explanation:

start by converting 1 1/2 to an improper fraction by multiplying the 1 by the denomerator and then adding the 1 from teh numerator. Then place that all over the denomantor two. so you get 3/2

then set up your equation:

3/2 x 1/8

you do the resipricol of one of the numbers so instead of 8/1 we do 1/8

3 times 1= 3

2 times 8 is 16

3/16 does not simplify so thats your answer

6 0
2 years ago
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