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
A company offers you a job with an annual salary of $70 000 for the first year and a 5% raise every year after. Approximately ho
mariarad [96]

Answer:

$386794

Step-by-step explanation:

To be able to find how much we get in 5 years, we need to base it off the initial salary value.

So in the first year we get.

$70,000

To get how much we get in the 2nd year we add the extra 5%.

2nd year salary = (1.05)70000

2nd year salary = 73500

Now we continue to do that until the 5th year

3rd year = (1.05)73500

3rd year = 77175

4th year = (1.05) + 77175

4th year = 81033.75

5th year = (1.05) + 81033.75

5th year = 85085.44

Now we add them all up to get the total.

70000 + 73500 + 77175 + 81033.75 + 85085.44 = $386794.19 or $386794

7 0
3 years ago
Show that: (p¼- q¼)(p¼ + q¼)(√P+√q)= p-q.​
Irina18 [472]

Answer:

Step-by-step explanation:

let p¼ = a, q¼ = b

L.H.S. = (a - b)(a + b)(a² + b²) = (a² - b²)(a² + b²) = (a²)² - (b²)² = p - q = R.H.S.

3 0
2 years ago
Read 2 more answers
Express 9.25. as a fraction in its simplest form<br>​
Olenka [21]

Answer:

9 1/4

Step-by-step explanation:

9.25-9=0.25

0.25 =1/4

9 1/4

7 0
2 years ago
What is the equation of this graphed line? Enter your answer in slope-intercept form in the box. -6,-3 6,-7
-BARSIC- [3]
The answer is at the bottom hope this helps

7 0
3 years ago
Read 2 more answers
If the point (b,15) lies on the straight line with equation Y=5x fonde the value of b ?
Andrej [43]

Answer:

b = 3

Step-by-step explanation:

Substitute the y- coordinate 15 into the equation , that is

15 = 5x ( divide both sides by 5 )

3 = x

This is the x- coordinate of the point , so b = 3

7 0
3 years ago
Other questions:
  • Let x and y be random variables of the continuous type having the joint p.d.f. f(x,y)=8xy
    13·1 answer
  • Simplify 2( x - 3) + 7( x + 2). A. 9 x - 8 B. 9 x + 3 C. 9 x + 8
    6·2 answers
  • Use the distributive property to fill in the blanks below. <br><br>(8 x 5) + (8 x 2) = 8 x (_ + _)
    15·1 answer
  • A park is in the shape of a rectangle. The park authorities are planning to build a 2-meter-wide jogging path in the park (shown
    13·1 answer
  • Estimate the sum of 1/8+1/4
    6·2 answers
  • Solve each equation by graphing the related function or by finding square roots.<br><br> t^2=144
    14·2 answers
  • How to do this problem
    13·1 answer
  • I GIVEEE BRAINLILSTT
    12·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bt%7D%7B7%7D%3D%2013%5C%5C" id="TexFormula1" title="\frac{t}{7}= 13\\" alt="\frac{t}{
    15·2 answers
  • Solve the system of equations:x + 3y - z = -4 2x - y + 2z = 13 3x - 2y - z = -9
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!