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
kvasek [131]
3 years ago
13

You have 400 feet of fencing to enclose a rectangular plot. Find the length and width of the plot that will maximize the area. W

hat is the largest area that can be enclosed?
I'm not sure how to start. We haven't learned this yet in class.
Mathematics
1 answer:
3241004551 [841]3 years ago
6 0
Well, we can denote L and W for the length and width respectively. Lets say the A is the area, we have: 1. A=(L × W) as well as 2. 2(L+W)=400. We rearrange the second equation to get 3. W=200-L. From this, we can see that 0<L<200. Substitute the third equation into the first to get A=(200L-L²). put this formula into the scientific calculator and you will find a parabola with a maximum. That would be the maximum area of the enclosed area. Alternatively, we can say that L is between 0 and 200 when the area equals 0. (The graph you find will be  area against length). As the maximum is generally found halfway, we substitute 100 into the equation and we end up with 10000.

Hope this helps.
You might be interested in
An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the
sdas [7]

Answer:

a

    n=  75, 582

b

  n=    2300

c

  n =   253

Step-by-step explanation:

     Generally the size of the sample sample space is  mathematically represented as

           n  =   \left N } \atop {}} \right.  C_r

Where   N is the total number of objects available and  r is the  number of objects to be selected

    So  for  a,  where N = 19  and r = 8  

         n  =   \left 19 } \atop {}} \right.  C_8 =  \frac{19 !}{(19 - 8 )! 8!}

                           =     \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}

                           n=  75, 582

    For  b  Where  N  = 25 and  r  =  3

           n  =   \left 25 } \atop {}} \right.  C_3 =  \frac{25 !}{(19 - 3 )! 3!}

                             =     \frac{25 *24 *23 *22 !  }{22 ! \ 3!}

                             n=    2300

   For  c  Where  N  = 23 and  r  =  2

            n  =   \left 23 } \atop {}} \right.  C_2 =  \frac{23 !}{(23 - 2 )! 2!}

                              =     \frac{23 *22 *21!  }{21 ! \ 3!}

                              n =   253

4 0
3 years ago
7x^2+3y^2+12x+2y-6=0 Help me find the value of a,b,c and the discriminant number
Mrac [35]

Answer:

b o a h d

Step-by-step explanation:

1*5 3%9 46% &45 that is the answer

7 0
1 year ago
Complete the square to re-write the quadratic function in vertex form:<br> y = x2+ 10x - 2
Blababa [14]

Answer:

<h3>             \bold{y=(x+5)^2-27}</h3>

Step-by-step explanation:

                                      y = x^2+ 10x - 2\\\\y = x^2+ 2\cdot x\cdot5+5^2-5^2 - 2\\\\y=(x+5)^2-25-2\\\\y=(x+5)^2-27

8 0
3 years ago
HELP PLEASEEEE I don’t get it
jek_recluse [69]

10 is answer choice B

11 is answer choice A

7 0
3 years ago
Read 2 more answers
Jack invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of his in
schepotkina [342]

Answer: The average rate of change of Jack's investment from the third year to the fifth year is $6.43

Step-by-step explanation:

The function that defines the value of his investment after x years,

Putting the value of x as 3 and 5, we can get the value of his investment after 3 years and 5 years respectively.

6 0
2 years ago
Other questions:
  • If the first term of a sequence is 5 and the tenth term is -58, what is the common difference? -3 -4 -5 -6 -7
    11·1 answer
  • Which of the following numbers is the smallest 0.008 or 1/3 or 0.048 or 0.36 or 1/9
    10·1 answer
  • What would be a reasonable estimate for 31+m=307
    9·2 answers
  • Simplify 5 m - 13 M - n + 4 m​
    14·2 answers
  • A medical researcher prepares a number of sugar tablet doses. The only ingredient is sugar, they are absolutely safe to administ
    6·2 answers
  • I need alittle help with this,<br><br> 9x-5y+3x+2y-4y-y​
    13·2 answers
  • Round the following numbers to 1 decimal place.
    8·2 answers
  • ankita and her three friends are going to share a three bedroom apartment if the total rent is Rp.r, what is ankitas share
    10·1 answer
  • Help will give thanks to the first to answer
    15·2 answers
  • Choose the correct sum of the polynomials (4x3 − 2x − 9) (2x3 5x 3). 6x3 − 3x − 6 2x3 − 7x − 12 6x3 3x − 6 2x3 3x − 3.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!