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Semmy [17]
3 years ago
8

Most of the heat loss for outdoor swimming pools is due to surface

Mathematics
1 answer:
fgiga [73]3 years ago
5 0

Answer:

rectangle

Step-by-step explanation:

Perimeter of 20 feet

rectangle (square is technically a rectangle):

sides 5 and 5

5*5 = 25ft²

Circle:

20/(2π) = 3.18309...

3.1809...²π = 31.831ft²

Max area of rectangle (i.e. square) has a smaller area than a circle.

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1. You are given the 3rd and 5th term of an arithmetic sequence. Describe in words how to determine the general term.
kozerog [31]

Step-by-step explanation:

1. In an arithmetic sequence, the general term can be written as

xₙ = y + d(a-1), where xₐ represents the ath term, y is the first value, and d is the common difference.

Given the third term and the fifth term, and knowing that the difference between each term is d, we can say that the 4th term is x₃+d and the fifth term is the fourth term plus d, or (x₃+d)+d =

x₃+2d. =x₅ Given x₃ and x₅, we can subtract x₃ from both sides to get

x₅-x₃ = 2d

divide by 2 to isolate d

(x₅-x₃)/2 = d

This lets us solve for d. Given d, we can say that

x₃ = y+d(2)

subtract 2*d from both sides to isolate the y

x₃ -2*d = y

Therefore, because we know x₃ and d at this point, we can solve for y, letting us plug y and d into our original equation of

xₙ = y + d(a-1)

2.

Given the third and fifth term, with a common ratio of r, we can say that the fourth term is x₃ * r. Then, the fifth term is

x₃* r * r

= x₃*r² = x₅

divide both sides by x₃ to isolate the r²

x₅/x₃ = r²

square root both sides

√(x₅/x₃) = ±r

One thing that is important to note is that we don't know whether r is positive or negative. For example, if x₃ = 4 and x₅ = 16, regardless of whether r is equal to 2 or -2, 4*r² = 16. I will be assuming that r is positive for this question.

Given the common ratio, we can find x₆ as x₅ * r, x₇ as x₅*r², and all the way up to x₁₀ = x₅*r⁵. We don't know the general term, but can still find the tenth term of the sequence

8 0
3 years ago
A survey was done that asked students to indicate whether they enjoy reading or playing video games.
Xelga [282]
8:1 because it's just and 8 to a 1
5 0
3 years ago
A store advertises 15% off an item that regularly sells $300. How is a 15% discount similar to a 15% decrease? Explain.
Kobotan [32]
Both a discount and decrease will make the cost the same which is $225 for the object. I think that's what your asking. I'm sorry if it is not that helpful.
5 0
3 years ago
Read 2 more answers
Ron has 25 coins with a total value of $ 4.30 . the coins are dimes and quarters. how many of each coin does he have?
Gwar [14]
25=d+q
4.30= .1d + .25q

25=d+q
-17.20=-.4d+-q

7.80= .6d
d=13...... 13 DIMES

25= 13+q
12=q....... 12 QUARTERS
4 0
3 years ago
I need help.............​
amid [387]
I didn’t know which problem you specifically needed help with, but I hope this helps.

7 0
2 years ago
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