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
Hatshy [7]
3 years ago
5

You have a 1200-foot roll of fencing and a large field. you want to make two paddocks by splitting a rectangular enclosure in ha

lf. what are the dimensions of the largest such enclosure?
Mathematics
1 answer:
romanna [79]3 years ago
8 0
Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change  w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985
You might be interested in
How do you figure percentages?
sp2606 [1]

Answer:

<u><em>You just take it step by step by step. look it up for more information. </em></u>

<u><em>Hope this helps.</em></u>

<u><em /></u>

6 0
3 years ago
What is the slope of the line through the given points:
telo118 [61]

Answer: slope is 1

equation: 1x-2 or x-2

I hope this is good enough:

3 0
3 years ago
Read 2 more answers
Can someone help me
worty [1.4K]

Answer:

B = 129

Step-by-step explanation:

Opposite angles of a parallelogram are equal (or congruent)

A and C are both 51.

All angles in a parallelogram equal 360

Take both the known angles and substract from 360, than divide by 2.

B = (360 - 51 - 51)/2

B = 129

7 0
3 years ago
Solve the following equation for 0°≤x≤360° : 2 cot 2x + 3 = 0
evablogger [386]

Answer:

π

2

,

3

⋅

π

2

,

3

⋅

π

4

,

7

⋅

π

4

Explanation:

Factorizing your equation we get

cot

(

x

)

=

0

so

cos

(

x

)

=

0

we get the following Solutions in the given interval

x

=

π

72

or

x

=

3

π

2

for the second case we get

cot

(

x

)

=

−

1

so

cos

(

x

)

=

−

sin

(

x

)

and we get

x

=

3

π

4

or

x

=

7

π

4

Hint:

To get the Solutions of the last equation you can use

√

sin

(

x

+

π

4

)

=

0

Step-by-step explanation:

3 0
2 years ago
Wha is 2+2 someone help me
katrin2010 [14]

Answer:

4 is the correct answer.

8 0
3 years ago
Read 2 more answers
Other questions:
  • How do I do number 2 ? Someone please helpp w
    13·1 answer
  • Solve the following system of equations
    15·1 answer
  • For which inequality is {x | x R, x &gt; 6} the solution set?
    6·1 answer
  • A movie theatre sells 20 orders of nachos, 25 candy bars, 40 boxes of popcorn and 45 sodas. Which ratio is the greatest?
    9·1 answer
  • The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation
    15·1 answer
  • 4 01 8
    11·2 answers
  • Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for
    15·2 answers
  • Whats 4 +4 <br><br> guys pls help
    5·2 answers
  • Please help <br> don’t give any fake links pls
    14·1 answer
  • Write the equation for the following relation. D = {(x, y ): (3, 9), (5, 25), (-2, 4), . . .}
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!