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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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2 years ago
A map of the park can be divided into a grid of 9^2 equal sections of land. It is estimated that there are 9^6 ants per section
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4 0
3 years ago
Given that OA = 2x + 9y , OB = 4x + 8y and CD = 4x - 2y , explain the geometrical relationships between the straight line AB and
slava [35]

The geometrical relationships between the straight lines AB and CD is that they are parallel to each other

<h3>How to determine the relationship</h3>

It is important to note the following;

  • A drawn from the origin and passes through point A (a , b), then the equation of OA = ax + by
  • If a line is drawn from the origin and passes through point B (c , d), then the equation of OB = cx + dy

We  find the equation of AB by subtracting OB from OA, thus AB = (c - a)x + (d - b)y

The slope of line AB =

⇒ OA= 2 x + 9 y

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⇒AB = OB - OA

⇒AB = (4 x + 8 y) - (2 x + 9 y)

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Collect like terms

⇒ AB = (4 x - 2 x) + (8 y - 9 y)

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⇒ The slope of ab = \frac{-2}{-1} = 2

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⇒ CD = 4 x - 2 y

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⇒The slope of cd = \frac{-4}{-2} = 2

Note that Parallel lines have same slopes

And Slope of ab = slope of cd

AB // CD

Therefore, the geometrical relationships between the straight lines AB and CD is that they are parallel to each other

Learn more about parallel lines here:

brainly.com/question/24607467

#SPJ1

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