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vodomira [7]
3 years ago
14

Aless and Louis are going to put a rectangular pool in their backyard. The cost of installation is $6,000. If the dimensions of

the pool are 30 meters by 20 meters by 2 meters, what is the cost of the installation of their pool per cubic meter?
Mathematics
1 answer:
lana [24]3 years ago
7 0

Answer:

cost of the pool per cubic meters = $5

Step-by-step explanation:

The rectangular pool has a dimension of 30 m by 20 m by 2 m. To know the cost of the pool per cubic meter we have to calculate the volume of the pool . Then divide the total cost of the pool by it volume.

volume of the rectangular pool = length × height × width

volume of the rectangular pool = 30 × 20 × 2

volume of the rectangular pool = 1200  m²

The cost of installation is $6000 . The volume of the pool is 1200 cubic meters.

cost per cubic meters = total cost of installation/volume

cost per cubic meters = 6000/1200

cost of the pool per cubic meters = $5

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Rus_ich [418]

Answer:

h=3in  

Step-by-step explanation:

A=a+b

2h

Solving forh

h=2A

a+b=2·13.5

3+6=3in

3 0
3 years ago
Calculate the area of this figure. Show all work and include proper units.<br> Check photo for units
Allushta [10]

Answer:

  • 92 ft²

Step-by-step explanation:

If you complete the square, you will add a right triangle with legs 10 - 6 = 4 ft.

<u>The area of the figure is:</u>

  • A = 10² - 1/2*4*4 = 100 - 8 = 92 ft²
5 0
2 years ago
X+ y + z = -3<br> 3y - Z = 4<br> 2x- y - 2z = -5
snow_lady [41]

Answer:

  • (-3, 1, -1)

Step-by-step explanation:

  • x + y + z = -3  --> (1)
  • 3y - z = 4   --> (2)
  • 2x - y - 2z = -5 --> (3)

<u>Add up (1) and (2)</u>

  • x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1  --> (4)

<u>Double (2) and subtract from (3)</u>

  • 2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 8
  • 2x - 7y = -13 --> (5)

<u>Double (4) and subtract (5)</u>

  • 2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1

<u>Finding x</u>

  • x + 4(1) = 1 ⇒ x = 1 - 4  ⇒ x = -3

<u>Finding z</u>

  • -3 + 1 + z = -3 ⇒ z = -1

<u>So the answer is: </u>

  • (-3, 1, -1)

4 0
3 years ago
If you paid $1600 in property taxes on a house appraised at $80,000 what is the property tax rate in your neighborhood?
bazaltina [42]

Answer: 2%

Step-by-step explanation:

1600/80000. Simplifying by 100:

16/800. Simplifying by 8, comes to:

2/100 = 2%

7 0
3 years ago
Can someone help me plz am stuck on this.
chubhunter [2.5K]
First Question

circumference = pi * diameter

diameter = circumference/pi = 94.2 in./3.14 = 30 in.

The wheels have a 30-inch diameter.
-----------------------------------------------------------------------
Second question

The area of a circle: area = pi * r^2

radius = diameter/2 = 94.2 in./2 = 47.1 in.

area = pi * r^2 = 3.14 * 47.1 in. * 47.1 in. = 6966 in.^2

Answer: 6966 in.^2
-----------------------------------------------------------------------
Third question

The piece of felt has a width equal to the diameter of the wheel. The length has to be the same as 4 diameters.

4 * 94.2 in. = 376.8 in.

Answer: 376.8 in.
6 0
3 years ago
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