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3 years ago

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2 answers:

melamori03 [73]3 years ago

5 0

The amount of days he needs to collect one egg

Elena-2011 [213]3 years ago

4 0

B. each day he collects 4 or 5 eggs meaning 1(day),4.5(amount of eggs he has)

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Multiply out (expand) the following bracket<br> 5(x - 3)

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5x - 15 we multiply the barclet value by 5

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A rectangular garden of area 456 square feet is to be surrounded on three sides by a brick wall costing $ 12 per foot and on one

solniwko [45]

Answer:

$l=2\sqrt{114}feet$ $b=2\sqrt{114}feet$ $\left ( l,b \right )=(21.3541,21.3541)$

Step-by-step explanation:

Given,

Area of garden=456 square feet

Brick wall cost three sides $=\$ 12$ per foot

fencing cost of one side $=\$ 7$ per foot

Let length and breadth of rectangular field is (l,b) feet

For minimizing the cost of material perimeter of garden should be minimum and area of garden is more.

Perimeter of garden $=2\left ( l+b \right )=k$

$l+b=k/2$

$l=k/2-b$

A= $l\times b=456$

A= $\left ( k/2-b \right )b=456$

Differentiating the equation to find maximum area

$\frac{d}{db}(\left ( k/2-b \right )b)=\frac{\partial 456}{\partial b}$

$k/2-2b=0$

$k=4b$

$l=4b/2-b$

$l=b$

To find $maxima$ again differentiating

$\frac{\partial A^2 }{\partial b^2}=\frac{\partial \left ( k/2-2b \right )}{\partial b}$

$\frac{\partial A^2 }{\partial b^2}$

The area is maximum when l=b

and perimeter is minimum

$l\times b=456$

$b^{2}=456$

$b=2\sqrt{114}feet$

$l=2\sqrt{114}feet$

Cost material

$=2\sqrt{114}\times 3\times 12+2\sqrt{114}\times 7$

$=72\sqrt{114}+14\sqrt{114}$

$=\$ 86\sqrt{114}$

$=\$ 918.22873$

Dimension of rectangular garden

$\left ( l,b \right )=(21.3541,21.3541)$

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When the number of hours increases, the number of miles increases

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The answer is 29.25%.

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