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Fudgin [204]
2 years ago
6

Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area of the co

ver? Use Pi = 3. 14 and round the answer to the nearest square foot.
Mathematics
1 answer:
Alex777 [14]2 years ago
4 0

Answer:

38 square feet

Step-by-step explanation:

How do we find the area of a circle?

  ❖ The area of a circle is πr², where r = radius. For this case, we're going

       to approximate pi as 3.14.

How do we find the radius given diameter?

  ❖ We are given the diameter of Claire's hot tub as 7 feet. The diameter

       is 2x the radius, so we divide 7 by 2 to get the radius, which is 3.5

       feet.

<u>Solving</u>

  • <u></u>3.14*3.5^2
  • 3.14 *12.25
  • 38.465
  • 38.465 ≈ 38

Therefore, the answer is 38 square feet. Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −
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Solving quadratic equations, it is found that he needs to charge:

1. He needs to charge $40 to break even.

2. He needs to charge $30 for a profit of $600.

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
  • x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

The profit equation in this problem is:

P(x) = -3x² + 150x - 1200.

He breaks even when P(x) = 0, hence:

-3x² + 150x - 1200 = 0.

The coefficients are a = -3, b = 150, c = -1200, hence:

  • \Delta = 150^2 - 4(-3)(-1200) = 8100
  • x_1 = \frac{-150 + \sqrt{8100}}{-6}
  • x_2 = \frac{-150 - \sqrt{8100}}{-6} = 40

He needs to charge $40 to break even.

For a profit of $600, we have that P(x) = 600, hence:

-3x² + 150x - 1200 = 600.

-3x² + 150x - 1800 = 0.

The coefficients are a = -3, b = 150, c = -1800, hence:

  • \Delta = 150^2 - 4(-3)(-1800) = 900
  • x_1 = \frac{-150 + \sqrt{900}}{-6}
  • x_2 = \frac{-150 - \sqrt{900}}{-6} = 30

He needs to charge $30 for a profit of $600.

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

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2 years ago
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