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andrew-mc [135]
4 years ago
13

A rancher has 240 meters of fence with which to enclose three sides of a rectangular garden (the fourth side is a cliff wall and

will not require fencing). Find the dimensions of the garden with the largest possible area. (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side).)
Mathematics
2 answers:
Dmitrij [34]4 years ago
7 0

Answer:

The dimensions are  length 120 and width 60.

Step-by-step explanation:

2W + L = 240  where L = length and W = width.

The area A = LW.

From the first equation L = 240 - 2W, so substituting this  in A = LW gives:

A = W(240 - 2W)

A = 240W - 2W^2

Finding the derivative

A' =  240 - 4W

This = 0 for  local maxima  / minima:

240 - 4W = 0

W = 240/4

W = 60.

Note the second derivative = -4 so this is a maxima.

Length L =  240 - 2(60) = 120 m.

patriot [66]4 years ago
3 0

Answer:

hi

Step-by-step explanation:

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Two carpenters are building a fence after 5 minutes,one carpenter is finished 4/7 of the way an the other is finished 1/8 of the
torisob [31]

The first carpenter is 0.4464 of the way is ahead of the second carpenter

<u>Solution:</u>

Given, Two carpenters are building a fence  

After 5 minutes, one carpenter is finished 4/7 of the way

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Now, let us find the work done by each carpenter

\begin{array}{l}{\text { For } 1^{\text {st }} \text { carpenter }=\frac{4}{7}=0.5714 \text { approximately. }} \\\\ {\text { For } 2^{\text {nd }} \text { carpenter }=\frac{1}{8}=0.125}\end{array}

Then, extra work done by first carpenter over second carpenter = work done by first carpenter – work done by second carpenter

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Hence, the 1st carpenter is 0.4464 of the way is ahead of the 2nd carpenter

6 0
4 years ago
$2.95 notebooks; 5% tax
dimaraw [331]
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7 0
3 years ago
Read 2 more answers
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Snezhnost [94]

Answer:

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4 0
3 years ago
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erma4kov [3.2K]

Answer:

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