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Bond [772]
2 years ago
8

In their 1943 meeting at Casablanca, Allied leaders decided to invade

Mathematics
1 answer:
N76 [4]2 years ago
6 0
In their 1943 meeting at Casablanca, Allied leaders decided to invade Italy.
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jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i
FrozenT [24]

Answer:

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length  and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is    2(x +y) = 80

                         x + y =40

                               y = 40 -x

now the area of the rectangle A = length X width

                                                  A = x y

substitute 'y' value in above A = x (40 - x)

                                              A = 40 x - x^2 .....(1)

<u>Step :2</u>

now differentiating equation (1) with respective to 'x'

                                      \frac{dA}{dx} = 40 -2x     ........(2)

<u>Find the dimensions</u>

<u></u>\frac{dA}{dx} = 0<u></u>

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

<u>Step 3</u>:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

\frac{d^2A}{dx^2} = -2

Now the maximum area A =  x y at x =20 and y=20

                                        A = 20 X 20 = 400

                                         

<u>Conclusion</u>:-

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

<u>verification</u>:-

The perimeter = 2(x +y) =80

                           2(20 +20) =80

                              2(40) =80

                              80 =80

8 0
3 years ago
What is the surface area?<br> 10 ft<br> 8 ft<br> 10 ft<br> 12 ft<br> 10 ft
amid [387]

Answer:

12×8/2=48

10×10=100

2(48)+3(100)

96+300= 396ft²

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2 years ago
How do i solve this
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The ratio is 2:3 for the side lengths of the triangles.

so 6:9 is one side and 5:x would be the other side

2/3 of five is 3.33 and multiplying that by 2 gives you 6.67
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5 + n2 &gt; 8<br> A. n &gt; 6<br> B. n&gt;3<br> C. n&gt;1.5<br> D. n &lt; 26
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N•2>8
then dive both sides 2n>8
and get n>4
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Answer:

x=2.5

Step-by-step explanation:

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