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alisha [4.7K]
2 years ago
9

A rectangular swimming pool is to be built with an area of 1800 square feet. The owner wants 5-foot wide decks along either side

and 10-foot wide decks at the two ends. Find the dimensions of the smallest piece of property on which the pool can be built satisfying these conditions. Give the answers in ascending order
Mathematics
1 answer:
FrozenT [24]2 years ago
8 0

The solution would be like this for this specific problem:

A = (l + 20) · (w + 10)

The area of the pool is 1800 square feet and can be computed also like l · w. Then l · w = 1800, and therefore l = 1800 w.

We plug in the values:

A = (1800 / w + 20) · (w + 10) = 1800 + 18000 / w + 20w + 200 = 18000 / w + 20w + 2000

dA /dw = − 18000 / w2 + 20

w = 30

l = 60

Since A = (l + 20) · (w + 10):

A = (60 + 20) · (30+ 10)

A = 3,200

<span>A(x) = 1800 + 2*10(x+10)+ 2*5(1800/x) </span><span>
<span>= 1800 + 20x + 200 + 18000/x </span>
<span>= 2000 + 20 x + 18000/x </span></span>

<span>20 - 18000/x^2 = 0 </span><span>
<span>x = sqrt (900) = 30 </span>
<span>Pool length dimension = 1800/x = 60 </span>
Lot dimensions: 80 x 40</span>

I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

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Choose the ratio that is equivalent to this one: 9/10<br><br> A) 30/27<br> B) 27/30<br> C) 27/29
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Your beginning balance on your lunch account is $42. You buy lunch for $1.80 every day and sometimes buy a snack for $0.85. Afte
tangare [24]

Answer:

The answer to your question is: I bought 7 snacks

Step-by-step explanation:

Data

beginning balance = $42 = b

lunch = $1.80  = l

snack = $ 0.85  = s

final balance = $0.05 = f

                        f = b - 1.8l - 0.05s

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After 20 days I spent = 1.8(20) in lunches = $36

                    0.05 = 42 - 36 - 0.85s

                   0.05 = 6 - 0.85s

                  0.05 - 6 = -0.85s

                  -5.95 = -0.85s

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Answer:

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Step-by-step explanation:

Since, given points are:  

(-2,5) and (3,25)

Now, by slope intercept form:

y= mx + b

Here, m= slope and b= y-intercept

In order to find y-intercept, we must find slope firstly:  

Since,

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Put ‘m’ in slope intercept form:

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Substitute either point into above equation:

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25 - 12 = b

or b= 25 - 12

b= 13

Hence, y-intercept is 13.  

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3 years ago
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