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
babunello [35]
2 years ago
13

Among all the rectangles whose perimeters are 100 feet, find the dimensions of the one with the maximum area. explain step by st

ep.
Mathematics
1 answer:
kompoz [17]2 years ago
7 0
<span>We let x be the length and y be the width of the rectangle. Then,
 
Perimeter = 2x + 2y
100 = 2x + 2y
50 = x + y
y = 50 - x
 
Area = xy
A = x(50 - x)
A = 50x - x^2
 
We then take the derivative; set it equal to zero:
 
A ' = 50 - 2x
0 = 50 - 2x
2x = 50
x = 25
y = 50 - x
y = 50 - 25
y = 25
 
Therefore, the dimensions are 25 and 25.</span>
You might be interested in
Sierra is saving money to buy a bike the bike costs $245. she has $125 saved and each week she adds $15 to her savings. how many
beks73 [17]
You should start with an equation.
245 = 125 + 15x
The 'x' represents the week.

so now, we have to subtract 125 from the total amount which is 245.
245 - 125 = 120
now we have
120 = 15x
to find 'x', we must divide 15 on each side
\frac{120}{15}  =  \frac{15x}{15}
we are now left with
8 = x
that means Sierra will have 8 weeks until she has enough money to buy the bike
4 0
3 years ago
Help me PLZZZZZZZ!!!!!!
eduard

Answer:

25% decrease

Step-by-step explanation:

Take the original amount of books and subtract the new number of books

20 -15 = 5

Divide by the original amount of books

5/20 = .25

Multiply by 100%

25%

It is a decrease since the amount went down

25% decrease

7 0
2 years ago
PLS HELP. Find the value of a, AB, BC, CD, AD in the parallelogram. Pls show work.
BaLLatris [955]

Answer:

A= 21

Step-by-step explanation:

a=19.5+1.5=21

21+2.9=23.9

2(21)-18.1

Lines AB and CD are congruent.

6 0
2 years ago
Anyone know the answer to this? Thanks :)
AnnyKZ [126]

Answer:

8/9

Step-by-step explanation:

8/9= 0.88888888889

8 0
3 years ago
Read 2 more answers
four sisters contributed equally to buy a present for thier father. They receive a 10% discount on the original price of the gif
11111nata11111 [884]
The original price was 59 or 60$
5 0
3 years ago
Read 2 more answers
Other questions:
  • Apple is having a 20% off sale . i bought my new Ipod for 40 pounds how much was it orignally​
    11·1 answer
  • The ampitude/frequency/period of y=1/4cos1/2x is 4 pie
    8·1 answer
  • 18=5a-2a+3 <br> answer this pleaseee
    13·1 answer
  • What is the length of the radius, r?
    13·2 answers
  • Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for peo
    6·1 answer
  • What is the definition of exponential growth?
    15·1 answer
  • Find the center and radius of a circle with the equation x² + y2 +6x–8y +16= 0.
    14·1 answer
  • Determine if the triangles below are similar. If they are, give the rule that you used to determine similarity.
    15·2 answers
  • Caroline takes a taxi to the train station. The driver charges a $4.45 initial fee and then $1.05 per mile. Which equation can b
    11·1 answer
  • a gas station sells regular gas for $2.10 per gallon and premium gas for $2.90 a gallon. at the end of a business day 280 gallon
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!