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Mandarinka [93]
3 years ago
13

Need help on geometry please right answer only I’m giving out 40 points

Mathematics
2 answers:
Juliette [100K]3 years ago
6 0
Answer: first option 392.699 square feet.


Explanation:

1) The shape of the sidewalk is an ring with exterior radius equal to the radious of the fountain + 5 feet and inner radius equal to the radius of the fountain.

2) The area of such ring is equal to the area of the outer circle less the area of the inner circle (the fountain)

Area of a circle = π × r²

Area of the outer circle: π (10ft +  5 ft)² = π (15 ft)² = 225 π ft²

Area of the inner circle = π (10ft)² = 100 π ft²

Area of the ring  (sidewald) = 225π ft² - 100π ft² = 125π ft² = 392.699 ft²
Fudgin [204]3 years ago
5 0
The garden at the Skyview office park has a water fountain at the center. The sidewalk aroung the fountain is 10 feet, what is the area of the sidewalk?

392.699 square feet
235.619 square feet
78.54 square feet
706.858 square feet

Solution:
Area of the Sidewalk = Area of the outer circle - Area of the inner
Consider the area of a circle:
Area of a circle = π × r²

Area of the outer Circle= π × (10+5)²
Area of the outer Circle= 706.86 square feet

Area of the inner circle= π × (10)²
Area of the inner circle= 314.16 square feet

Area of the Sidewalk = Area of the outer circle - Area of the inner
Area of the Sidewalk = 706.86 square feet - 314.16 square feet
Area of the Sidewalk = 392.7 square feet
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Step-by-step explanation:

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An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages
Fynjy0 [20]

Answer:

5 yr and 39 yr

Step-by-step explanation:

Let x = the age of the younger

then 7x + 4 = the age of the older

Now x + 7x + 4 = 44

8x + 4 = 44

8x = 40

x = 5

7x + 4 = 7(5) + 4 =  35 + 4 = 39

Check:  5 + 39 = 44

8 0
3 years ago
Professor Turner wrote the expression below on the chalkboard for his team at the Research Center. He asked the scientists there
Lynna [10]

Answer:

12x + 18y + 6z + 4x - 4z

Step-by-step explanation:

Given the expression : 3(4x + 6y + 2z) + 4(x – z)

To eliminate the parenthesis ; we use the distributive property :

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3*4x + 3*6y + 3*2z + 4*x + 4*-z

12x + 18y + 6z + 4x - 4z

Hence,

12x + 4x + 18y + 6z - 4z

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2 years ago
How do I put Y+4=2/3(X+7) in <br>standard form
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I hope this helps you

8 0
3 years ago
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A company is considering the purchase of a new machine for $75,660. management predicts that the machine can produce sales of $2
nekit [7.7K]

The company is considering the purchase of a new machine for $75,660 (based on the available data), and the payback period is <u>24 years</u>.

<h3>What is the payback period?</h3>

The payback period is the time the company requires to recoup its investment for the new machine.

The payback period can be computed by dividing the investment cash outflows by the annual net cash inflows.

<h3>Data and Calculations:</h3>

Initial investment in new machine = $75,660

Annual depreciation expense = $4,600

Investment period = 10 years

Annual sales revenue = $20,000

Annual expenses = $16,800

Ne annual cash inflow = $3,200 ($20,000 - $16,800)

Payback period = 24 years ($75,660/$3,200)

Thus, since the payback period is <u>24 years</u>, while the investment period is 10 years, it sounds unwise for the company to continue the investment.

Learn more about the payback period at brainly.com/question/23149718

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