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RSB [31]
2 years ago
7

Please helppppppppppppppp

Mathematics
1 answer:
tatyana61 [14]2 years ago
4 0

Answer:

looks pretty hard

Step-by-step explanation:

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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
In a survey at a local university 32% of students say they get less than the recommended eight hours of sleep per night. In a gr
Zina [86]

Answer:

2264 students

Step-by-step explanation:

3330/100=33.3

100-32=68

33.3 x 68=2264.4

Hope This Helps! :D

6 0
3 years ago
Read 2 more answers
Can someone please help me with 6?
Firdavs [7]

Look at the link below I filled in the answers for you. :)

6 0
3 years ago
Pythagorean theorem If l = 12 cm and m = 35 cm, what is the length of n?
poizon [28]
If n is the hypotenuse, then it is 37. L can't be the hypotenuse and if m is the hypotenuse then n is 32.878
4 0
3 years ago
Read 2 more answers
Please help me out and answer!!!!! <br> Really struggling
e-lub [12.9K]

Answer:

D

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y) → (- y, x)

A translation of 3 units up → + 3 in the y- direction, that is add 3 to the y- coordinate, hence

(x, y) → (- y, x) → (- y, x+ 3) → D




3 0
3 years ago
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