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3 years ago

A=2πr^2+2πrh solve for π

Mathematics

1 answer:

Tanzania [10]3 years ago

6 0

$
A=2 \pi r^2+2 \pi rh\\\\
A= \pi (2 r^2+2 rh) \\ \\ \pi = \cfrac{A}{2 r^2+2 rh}$

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A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack

Savatey [412]

Answer:

9 small packs sold and 4 large packs sold

Step-by-step explanation:

Let's S be the number of small pack and L be the number of large pack. We have

S + L = 13 packs as the total number of hotdog packs

6S + 12L = 102 packs as the total number of hotdogs

We can divide both sides of the equation above by 6 then

S + 2L = 17

The subtract the S+L = 13 equation from this equation we get

S + 2L - S - L = 17 - 13 = 4

L = 4 packs

then S = 13 - 4 = 9 packs

So there were 9 small packs sold and 4 large packs sold

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4 years ago

A homeowner is installing a swimming pool in his backyard. he want its length to be 4 feet longer than its width. then he wants

marishachu [46]

1. You have that:

- The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span>
- He wants to surround it with a concrete walkway 3 feet wide.
- He can only afford 300 square feet of concrete for the walkway.

2. Therefore, the tota area is:

At=L2xW2

L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
W2 is the width of the walkway (W1+3+3⇒W2=W1+6)

3. The area of the walkway is:

A2=At-A1

A2=300 ft²

4. Therefore, you have that the width of the swimming pool is:

A2=(W1+10)(W1+6)-(W1+4)(W1)
300=(W1²+6W1+10W1+60)-(W1²+4W1)
W1²+16W1+60-W1²-4W1-300=0
12W1-240=0
W1=240/12
W1=20 ft

5. And the length is:

L1=W1+4
L1=20+4
L1=24 ft

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3 years ago

n 1895, the first Putting Green Championship was held. The winner’s prize money was $200. In 2016, the winner’s check was $1,480

Amanda [17]

Answer:

7.64% per year
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Step-by-step explanation:

Using 2016 as a reference (t=0), the exponential equation for winnings can be written as ...

w(t) = 1480000×(1480000/200)^(t/121)

where 1480000 is the winnings in the reference year, and the ratio 1480000/200 is the ratio of winnings increase over the 121 years from 1895 to 2016.

This can be approximated by ...

w(t) ≈ 1,480,000×1.07640850764^t

In this form, we can see that the annual percentage increase is ...

1.0764 -1 = 7.64%

Then the winner's check in 2043, 27 years after 2016, is predicted to be ...

w(27) = $1,480,000×(1.0764...)^27 ≈ $10,805,478.41 ≈ $10,805,000

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3 years ago

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GREYUIT [131]

Answer:

1. The circumference of any circle equals two times its radius multiplied by pi (π, approximately 3.14). We can also say it equals pi times its diameter.

Thank you

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3 years ago

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dalvyx [7]

Answering this question is not within my ability. i apologize for my incompetence and hope you can find it in your heart to forgive me. lmou

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3 years ago