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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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(2×100)+(9×10)+(6×1)+(3×1/10)+(8×1/100)= <br> In standard form
Sidana [21]
We know that standard form = the number that is not expanded.
This equation is expanded so standard form =

2*100=200
9*10=90
6*1=6
3*1/10= 0.3
8*1/100=0.08

200+90=290
290+6=296
296+0.3=296.3
296.3+0.08=296.38

Your answer is 296.38
Hope this helped!
5 0
3 years ago
7. A recipe for a smoothie calls for 5 cups of strawberries for every 2 cups of bananas. The line represents the relationship be
Assoli18 [71]

Answer/Step-by-step explanation:

This is a proportional relationship between amount of strawberries and the amount of bananas needed in making smoothie.

Thus, a constant of proportionality, k, is a ratio that exist between both quantities.

k = y/x = amount of strawberry/amount of bananas.

Since we are given that a recipe of smoothie contains 5 cups of strawberries for every 2 cups of bananas, therefore,

k = ⁵/2 = 2.5.

Any point that will be on the line shown must have the same value of k (y/x).

Thus, given the point (1, 2.5). The ratio between y and x is:

k = 2.5/1 = 2.5.

Since this also shows the same constant of proportionality as 2.5, therefore, the point is also on the line.

8 0
2 years ago
Read 2 more answers
Please help asap <br>What is the factored form of this expression? 5p^3-10p^2+3p-6​
poizon [28]

Answer:

(5p^2+3)(p-2)

Step-by-step explanation:

In this problem, we need to write the factor form of expression 5p^3-10p^2+3p-6.

It can be done as follows :

5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)

Taking common form the terms as follows :

=p(5p^2+3)-2(5p^2+3)

It can be also written as :

=(5p^2+3)(p-2)

Hence, the factored form of 5p^3-10p^2+3p-6 is (5p^2+3)(p-2)

7 0
3 years ago
Plz help
crimeas [40]

Answer:

-20/33

Step-by-step explanation:

y2 - y1 / x2 - x1

1/6 - (-1/4) / -5/16 - 3/8

5/12 / -11/16

= -20/33

8 0
2 years ago
What is the perimeter of a parallelogram measuring 5 ft. x 9 ft.?
kumpel [21]
So.... In a paralleogram, both opposite sides are equal.
P=5+5+9+9
P=28 ft

4 0
3 years ago
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