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Roman55 [17]
2 years ago
6

Mr. Fry is building a fence around his pool.

Mathematics
2 answers:
11Alexandr11 [23.1K]2 years ago
8 0
The fence around his pool will be 30 yards long
lord [1]2 years ago
7 0

Answer:

30 yards of fence

Step-by-step explanation:

First, convert 60 feet to yards and 30 feet to yards. Remember, 1 foot= 3 yards.

60/3= 20 yards

30/3= 10 yards

Then you add the length and the width of the fence (in yards) to find the total yards of fence.

20+ 10= 30 yards of fence

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16) The slope is 0.
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Hope this helps! Merry Christmas!✨❤️
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3 years ago
I need help please help
Ksenya-84 [330]
- 9 + 12 = 3 or +3

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3 years ago
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A wire 6 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the
zhenek [66]

Answer:

Used wire in circle  x = 2.64 m

Used in square   L - x = 3.36 m

Total wire used 6 m

Step-by-step explanation:

We have a wire of 6 meters long.

We will cut it a distance x from one end, to get two pieces

x    and   6 - x

We are going to use the piece x  to get the circle then

So Perimetr of a circle is 2π*r    (r is the radius of the circle) then:

x = 2*π*r    ⇒    r = x/2*π

And area would be  A(c) = π* (x/2*π)²   ⇒ A(c) = x²/4π

From 6 - x we will get a square, and as the perimeter is 4 times the side

we have

( 6 - x )/ 4  is the side of the square

And the area is  A(s) = [( 6 - x ) /4]²

Total area as function of x is

A(t)  = A(c) + A(s)

A(x)  =  x²/4π  + [ ( 6  -  x  ) / 4 ]²

A(x)  =   x²/4π  + (36 + x² - 12x) /16

A(x)  = 1 / 16π [ 4x² + 36π + πx² -  12π x ]

Taking drivatives on both sides of the equation we get:

A´(x) = 1/ 16π [8x +2πx - 12π]

A´(x) = 0    ⇒      1/ 16π [8x +2πx - 12π]  = 0

[8x +2πx - 12π]  = 0

8x + 6.28x -  37.68  = 0

14.28x - 37.68 =  0      ⇒  x  = 37.68 /14.28

x = 2.64 m   length of wire used in the circle

Then the length L  for the side of the square is  

(6 - x )/4    ⇒ ( 6 - 2.64 )/ 4   ⇒ 3.36 / 4    

L = 0.84 m   total length of wire used in the square is

3.36 m

And total length of wire used is 6 m

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5 0
3 years ago
Naomi plans to attend a four-year college that costs a total of $21,800 per year. Her family invests $9,500 in an account that e
Lyrx [107]

Answer:

yes

Step-by-step explanation:

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4 0
3 years ago
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Solve for unknown in 2x^3+6x^2-20x=0​
Licemer1 [7]

The solution of x is x = 0, x =2 and x = -5

<h3>How to solve for the unknown?</h3>

The equation is given as:

2x^3+6x^2-20x=0​

Factor out x

x(2x^2+6x-20)=0​

Split the equation

x = 0 or 2x^2+6x - 20=0​

Solve for x in 2x^2+6x - 20=0​

Expand the equation

2x^2 + 10x - 4x - 20 = 0

Factorize the equation

(2x - 4)(x +5) = 0

Split the equation

2x - 4 = 0 and x + 5 = 0

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x =2 and x = -5

Hence, the solution of x is x = 0, x =2 and x = -5

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