1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NNADVOKAT [17]
2 years ago
6

A field bordering a straight stream is to be enclosed. The side bordering the stream is not to be fenced. If 1000 yards of fenci

ng material is to be used, what are the dimensions of the largest rectangular field that can be fenced? What is the maximum area?
Mathematics
1 answer:
sveta [45]2 years ago
3 0

Answer:

x  =  500 yd

y  =  250 yd

A(max) = 125000 yd²

Step-by-step explanation:

Let´s call x the side parallel to the stream ( only one side to be fenced )

y the other side of the rectangular area

Then the perimeter of the  rectangle  is  p  =  2*x  + 2* y  ( but only 1 x will be fenced)

p  =  x  +  2*y

1000  =  x   +  2 * y         ⇒    y  =  (1000 - x )/ 2

And   A(r)  =  x * y

Are as fuction of x

A(x)  =  x  *  (  1000  -  x ) / 2

A(x)  =   1000*x / 2 -  x² / 2

A´(x)  =  500  -  2*x/2

A´(x)  =  0              500   -  x   =  0

x  =  500 yd

To find out if this value will bring function A to a maximum value we get the second derivative

C´´(x)  =  -1         C´´(x) < 0  then efectevly we got a maximum at  x  = 500

The side  y  = ( 1000  -  x ) / 2

y  =  500/ 2

y  =  250 yd

A(max)  =  250 * 500

A(max) = 125000 yd²

You might be interested in
7(x+2)=2x-1 solve for the variable
Len [333]

Answer:

x = - 3

Step-by-step explanation:

Given

7(x + 2) = 2x - 1 ← distribute parenthesis on left side

7x + 14 = 2x - 1 ( subtract 2x from both sides )

5x + 14 = - 1 ( subtract 14 from both sides )

5x = - 15 ( divide both sides by 5 )

x = - 3

7 0
3 years ago
How do you do it please and thank you?
anygoal [31]
1) factor to see if you can get anything to cancel out before you multiply
2) the rest of my work is shown in the picture attached
3) the answer is n^2

4 0
3 years ago
When 8 is subtracted from Ollie’s age, the result is the same as subtracting 16 from 3 times his age.
Scilla [17]
X - Ollie's age

8 is subtracted from Ollie's age = x-8
the result is the same as
subtracting 16 from 3 times his age = 3x-16

x-8=3x-16 \\&#10;x-3x=-16+8 \\&#10;-2x=-8 \\&#10;x=4

Ollie is 4 years old.
5 0
2 years ago
Read 2 more answers
What is 363 rounded to the nearest ten
klio [65]
I think the answer is 360
6 0
3 years ago
Read 2 more answers
Good morning everyone hope your day is a good one
8_murik_8 [283]

Answer:

Ok..

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Help! Giving brainliest.
    5·2 answers
  • Which fraction is between 0.6 and 0.7
    11·2 answers
  • Missy stands at a horizontal distance of 45 ft from the base of a building. the angle of elevation from missy to the top of the
    7·2 answers
  • Write an equation of a line in slope-intercept form that is parallel to y = 3x+6 and passes through the point (-10, 2.5).
    11·1 answer
  • Help me please, you get 50 points. This is easy I just need help
    14·1 answer
  • What is the formal definition of a <br>square ?
    7·2 answers
  • (2n^3+20n^2+n)/10n^2
    12·1 answer
  • Find the value of x if log3 (x+6) =2​
    14·2 answers
  • Fractions that if times by 1 half you get more than a half?
    12·1 answer
  • Six numbers from a list of nine integers are $7$, $8$, $3$, $5$, $9$, and $5$. What is the largest possible value of the median
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!