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
earnstyle [38]
2 years ago
5

A rectangular plot of land is to be enclosed by a fence. One side is along a river, and does not need to be enclosed. If the tot

al available fencing is 600 meters, find the dimensions of the plot to have the maximum area
Mathematics
1 answer:
Bad White [126]2 years ago
5 0

Answer:

Width 150 meters.

Length = 350 meters.

Step-by-step explanation:

Let us assume the  width of  the fence = k meters

So, both sides = k + k = 2k meters

Also, the TOTAL fencing length = 600 m

So, the one side length of the fence = (600 - 2 k) meters

AREA = LENGTH x WIDTH

⇒ A(k)  = (600 - 2k) (k)

or, A =  -2k² + 600 k

The above equation is of the form: ax² +bx +  C

Here: a  = - 2 , b = 600 and C = 0

As a< 0, the parabola opens DOWNWARDS.

Here, x value is given as:  x = \frac{-b}{2a}

Solving for the value of k similarly, we get:

k = \frac{-b}{2a}  = \frac{600}{2(-2)}  = 150

Thus the desired width = k = 150 meters

So, the desired dimensions of the plot  is width 150 meters.

And length = 650 - 2k = 650 - 300 = 350 meters.

You might be interested in
(PLEASE HELP) Evaluate the expression 2(8 − 4)^2 − 10 ÷ 2.
SOVA2 [1]
To answer your question (PLEASE HELP) Evaluate the expression 2(8 − 4)^2 − 10 ÷ 2.


The answer would be B:27
3 0
3 years ago
Read 2 more answers
Help me in math please
dsp73
Answer: Choice A

Proof:
Replace x with 1 and y with 2. This is because (x,y) = (1,2) so x = 1 and y = 2.

Doing both replacements and simplifying leads to...

2*x - y = 0
2*1 - 2 = 0
2 - 2 = 0
0 = 0

That confirms (x,y) = (1,2) is a point on the line.
It confirms (1,2) is a solution to the equation.
4 0
3 years ago
Click on all the values for n that make this inequality true. There may be more than one answer.
vodka [1.7K]
Equation: 120 ≥ 10n + 20

Subtract 20 from both sides, 

100 ≥ 10n

Divide both sides by 10, 
10 ≥ n

It means, it is equal or Smaller than 10.

So, the answers would be: 7, 8, 9, 10

Hope this helps!
4 0
3 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP ME I’M STRUGGLING PLEASE I NEED HELP NO ONE IS HELPING ME WHYYY
Simora [160]
22.5 is the answer i think
5 0
2 years ago
laws of Sines all together. Find each measurement indicated. Round your answers to the nearest tenth. Part 1 Please show your wo
erik [133]

Answer:

1. 23.0 cm

2. 21.0 ft

3. 31.0 yd

Step-by-step explanation:

1. 30/sin110 = RT/sin46

RT = sin46 × 30/sin110

RT = 22.96516279

2. Angle A = 180 - 61 - 53 = 66°

24/sin66 = AB/sin53

AB = sin53 × 24/sin66

AB = 20.98116966

3. 18/sin28 = HP/sin54

HP = sin54 × 18/sin28

HP = 31.01850475

3 0
3 years ago
Read 2 more answers
Other questions:
  • I don’t understand this question what so ever
    15·1 answer
  • What is the standard form? Given the vertex (-3,3) and the focus point (-3,2)
    9·1 answer
  • A polynomial function has a zeros at -1,2,7 and all are multiplicity of 1 write a function in standard form that could represent
    13·1 answer
  • Set up the equation, relating the new ratio of salt
    9·2 answers
  • This is the last question :)
    7·2 answers
  • What are the zeros of the polynomial function f(x) = x3 − 2x2 − 24x?
    10·1 answer
  • How do i solve this step by step? <br><br> 3( q – 3 ) = 6
    9·1 answer
  • Sachant que le volume de la glace diminue de 11% quand elle fond, donner une valeur approchée, au millimètre près, de la hauteur
    6·1 answer
  • HELP PLEASE THERE ARE TWO MORE.
    11·2 answers
  • Bar Graphs and line Graphs (PLEASE HELP)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!