Mathematics, 01.12.2019 15:31 GreenHerbz206

Justin wants to use 188ft of fencing to, fence off the greatest possible retangular area for a garden .what dimensions should he use? what will be the area of the garden?

Answers: 2

Show answers

Answers

The greatest area that can be enclosed by a given amount of material will always be a square...

M=2L+2W so we can say:

2L=M-2W

L=(M-2W)/2

area is:

A=LW and using L from above:

A=W(M-2W)/2

A=(MW-2W^2)/2

dA/dW=(M-4W)/2

d2A/dW2=-4

Since acceleration, d2A/dW2, is a negative constant, when velocity, dA/dW=0, it is at an absolute maximum for A(W).

dA/dW=0 only when M-4W=0, 4W=M, W=M/4

from earlier we found L=(M-2W)/2 and using W from above we get:

L=(M-M/2)/2

L=(2M-M)/4

L=M/4

So L=W=M/4, thus it is a square.

That's the proof, anyway...

188=2x+2y

94=x+y

y=94-x

A=xy and using y from above:

A=94x-x^2

dA/dx=94-2x, d2A/dx2=-2, as explained earlier, since acceleration is a negative constant, when dA/dx=0, it is at an absolute maximum for A(x).

dA/dx=0 only when 94-2x=0, 2x=94, x=47

and from earlier, y=94-x, so y=94-47

y=47

So the dimensions that produce the greatest area are:

47ft by 47ft

And thus the greatest area is:

47^2=2209 ft^2

Answer from: Quest

answer: the answer is ann

Answer from: Quest

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!

Another question on Mathematics

Mathematics, 21.06.2019 17:00

You are a clerk at convenience store. a customer owes 11.69 for a bag of potatoes chips. she gives you a five dollar bill. how much change should the customer receive?

Answers: 1

Answer

Mathematics, 21.06.2019 19:10

Which of the following is the shape of a cross section of the figure shown below

Answers: 3

Answer

Mathematics, 21.06.2019 22:50

Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.

Answers: 1

Answer

Mathematics, 22.06.2019 02:10

Is (0,0) a to ? ys x2 - 4 y> 2x-1