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
Alika [10]
3 years ago
5

A farmer wants to enclose a rectangular field along a river on three sides. If 4,800 feet of fencing is to be used, what dimensi

ons will maximize the enclosed area
Mathematics

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0
So hmmm, notice the picture below

the perimeter is just w + w + l or 2w+l

thus  \bf \textit{area of a rectangle}\\\\
A=lw\qquad 4800-2w=l\implies A(w)=(4800-2w)w
\\\\\\
A(w)=4800w-2w^2

take the derivative of A(w), then zero it out to get the critical points, and do a first-derivative test on the critical points for any maxima between 0 and 4800

You might be interested in
Untitled Section
miskamm [114]

Answer:

the answer is 8 7/8

Step-by-step explanation:

7 0
3 years ago
I need to know how to find angle "H"
vazorg [7]
Check the picture below.  Recall your SOH CAH TOA.

5 0
3 years ago
Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
Janine wants a necklace 45 beads long 
seraphim [82]
If there are 45 beads, with a ratio of 1:4
Then,
\frac{45}{5}=9
Then if \frac{1}{4}=\frac{9}{x}
Then x=9*4
Therefore, x=36
Meaning, there would be a ratio of 36 beads to 9 beads
4 0
3 years ago
Read 2 more answers
If you travel at a rate of 45 miles per hour, how many minutes will it take you to travel 1 mile
gavmur [86]
1 minute and 15 seconds.
8 0
3 years ago
Other questions:
  • Lennar borrowed $400 to pay for car repairs she needs to pay it back in two years with simple interest Leonor wants to figure ou
    8·1 answer
  • Donovan eats 2 granola bars and drinks 1 glass of orange juice for breakfast every day. The price of a granola bar is B dollars
    7·2 answers
  • Teresa is maintaining a camp fire. She can keep the fire burning for 444 hours with 666 logs. She wants to know how many logs (y
    9·2 answers
  • Match the expressions with the property used to generate 5y + 2y + 6 + 2. Distributive Property Commutative Prop
    6·1 answer
  • Please answer this IS MY TEST PLEASE ANSWER PLEASE dont give UP-_-
    7·1 answer
  • What is the quadratic regression equation that fits these data?
    14·2 answers
  • P is the midpoint of (DE) . (DE) is equal to 10x-2, and (PE) is equal to 4x+7. What is the length of (DP) ?
    7·1 answer
  • Stouffville currently has a population of 60 000 people. The population is expected to increase by 4% each year. What will be th
    13·1 answer
  • Help me please I give brainliest ! ​
    7·1 answer
  • 12%of72 is what number
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!