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love history [14]
2 years ago
12

What is the answer to this question. Please give me the answer ASAP

Mathematics
1 answer:
strojnjashka [21]2 years ago
6 0

still, if you have any doubt ask me!

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A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s
makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = Length \times Breadth = xy

We are given that the area of the garden is 122 square feet

So, xy=122 ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = 30x+20(\frac{122}{x})

Total cost = \frac{2440}{x}+30x

Now take the derivative to minimize the cost

f(x)=\frac{2440}{x}+30x

f'(x)=-\frac{2440}{x^2}+30

Equate it equal to 0

0=-\frac{2440}{x^2}+30

\frac{2440}{x^2}=30

\sqrt{\frac{2440}{30}}=x

9.018 =x

Now check whether it is minimum or not

take second derivative

f'(x)=-\frac{2440}{x^2}+30

f''(x)=-(-2)\frac{2440}{x^3}

Substitute the value of x

f''(x)=-(-2)\frac{2440}{(9.018)^3}

f''(x)=6.6540

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

(9.018)y=122

y=\frac{122}{9.018}

y=13.528

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

4 0
2 years ago
Need Help Badly!!!!!! The dot plot below shows the number of books 26 students read in a month: Dot plot labeled Number of Books
algol13
The dot plot below shows the number of books 26 students read in a month:



<span>Is the median or the mean a better center for this data and why? help plz

</span>
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HELP!! <br> Complete the ratio table.<br> 13 15<br> 26 _<br> 45 _<br> 60 _<br> 65 75
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Answer:

30,52,69

Step-by-step explanation:

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Decide whether this situation is looking for the​ part, the​ percent, or the whole. 14 compact cars are 56% of the cars sold tha
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Rewrite the expression without using grouping symbols. 4(x – 2)
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out of these, it would be 4x - 4 * 2

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