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worty [1.4K]
3 years ago
11

The circumference of ruby's old swimming pool is 47.1 feet. Her new swimming pool has a diameter of 21 feet. How much larger is

the new swimming pools circumference?
Mathematics
1 answer:
Alla [95]3 years ago
6 0

The new pool is 18.84 feet larger in circumference than the old one.

<u>Explanation:</u>

Given:

Circumference of the pool = 47.1 feet

Diameter of the new pool, d = 21 feet

radius, r = 21/2 feet

Circumference of the new pool = ?

We know:

Circumference = 2πr

where,

r is the radius

On substituting the value:

C = 2 X 3.14 X \frac{21}{2}

C = 65.94 feet

The difference in circumference of the two pools = 65.94 - 47.1 feet

                                                                                  = 18.84 feet

Therefore, the new pool is 18.84 feet larger in circumference than the old one.

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Look at the picture. Solve for y
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Answer:

y = 5

Step-by-step explanation:

<u>Equation:</u>

m<DGF = m<DGE + m<EGF

<u>Given:</u>

m<DGF = 12y - 5

m<DGE = 5y + 6

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<u />

<u>Work:</u>

m<DGF = m<DGE + m<EGF

12y - 5 = 5y + 6 + 24

12y - 5 = 5y + 30

12y - 5y = 30 + 5

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Sam needs to cut a piece of sheet metal into 8 pieces. It takes him 5minutes to make each cut. How many cuts will sam make?
Virty [35]
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8 0
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Vladimir79 [104]

Answer:

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The second one: 67.5 ft³

Step-by-step explanation:

For the first one:

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So, in this shape, the length is 3 1/2, the width is 2 1/2, and the height is 1 1/2.

However, you can conver 1/2 to .5, to make it easier to multiply.

So, 3.5 x 2.5 x 1.5 = 13.125

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For the second one, same formula:

Length = 6, width = 2 1/2, and height = 4 1/2

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6 0
2 years ago
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nalin [4]

Answer:

The solution for the given algebraic equation is \frac{ - 2}{71}

Step-by-step explanation:

Given algebraic equation as :

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Now solving the equation while opening the brackets

So, \frac{1}{2} × x - \frac{1}{2} × 8  + 1 = 2 × 18 x - 2

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or,  \frac{x}{2}  - 4 + 1 = 36 x - 2

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or, \frac{- 71 x}{2} = 1

∴ 71 x = - 2

I.e x = \frac{ - 2}{71}

Hence The solution for the given algebraic equation is \frac{ - 2}{71}    Answer

7 0
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