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valina [46]
2 years ago
5

4. A substantial snowstorm is hitting the Northeast region and is predicted to snow at a rate of 2 inches per

Mathematics
1 answer:
Stolb23 [73]2 years ago
7 0
This is number a and I will list take the other

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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
Need help with my homework
Klio2033 [76]
Part A is basically asking you for the GCF (greatest common factor) between 63 and 36. To find this you find all the numbers that can be multiplied to form each number.

36:
1 * 36
2*18
3*12
4*9
6*6

63:
1*63
3*21
9*7

The GCF is 9.
Part B is asking how much the GCF can go into each type of flower.
4 rows of geraniums
7 rows of marigolds

4 0
3 years ago
How do I solve it. I am having trouble getting the answer
NNADVOKAT [17]

Answer:

Step-by-step explanation:

break it down as many times as you can. how? just keep dividing each by 2. example: 85 divided by 2 is 42.5 so under both arrows put 42.5. then divide that by 2. 42.5 divided by 2 is 21.25. keep dividing until you cant no more

3 0
3 years ago
If the triangle ABC=JKL<br> and <br> ACB=12,KL=6cm,and AC=8.5cm<br> what is BC
Illusion [34]
BC is equal to KL so there for BC is 6 cm
5 0
2 years ago
How many centimeters is my bag If IT was 9 centimeters and lost 3 centimeters
geniusboy [140]
Your answer is 6 centimeters because you would have to subtract 3 from 9. Hence, your answer is 6. 

Hope I helped!
4 0
3 years ago
Read 2 more answers
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