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
Marina CMI [18]
3 years ago
7

Given a rectangle with a perimeter of 24 inches, why dimensions maximize the area?

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

The dimensions are 6 by 6

Step-by-step explanation:

Calculus answer:

2x +2y= 24

xy= A

2x=24-2y

x=12-y

(12-y)(y)= 12y- y^2

the Derivative is = 12-2y

Then set that equal to zero 0=12-2y

-12=-2y

y=6

Confirm that 6 is a maximum by using a wiggle graph

wiggle graph -∞<---inc--6---dec-->∞

6 is a maximum

plug into original equation

2x + 2(6)=24

2x+12=24

2x=12

x=6

----------------------------------------------------------------------------------------------------

y=6

x=6


     



You might be interested in
What is the value of x in the equation x – y = 30, when y = 15?
lord [1]

(2/3)(30)=20
30+20=50=(x/5)
(50*5)=x=250 

hope this helps

5 0
4 years ago
Read 2 more answers
What is the value of x in the equation 3x – 4y = 65, when y = 4?
vovangra [49]
<span>3x – 4y = 65
</span><span>3x – 4(4) = 65
3x - 16 = 65
3x = 81
x = 27</span>
6 0
3 years ago
Read 2 more answers
Someone please help!!!!
aliya0001 [1]

Answer:

A

Step-by-step explanation:

You don't know whether they're all 90 degrees because we don't know about AB and CD.

7 0
3 years ago
Read 2 more answers
A balloon has a circumference of 23 cm. Use the circumference to approximate the surface area of the balloon to the nearest squa
AveGali [126]
To get the surface area of a sphere, we need to have the radius. We are given the circumference. The circumference formula is C=2πr.  We need to solve for r. 
23 = 2πr
r=3.66

The calculation for surface area is <span>A = 4πr^2. 
</span>A = 4<span>π(3.66)^2

Solve for A.

A= 168 cm^2.</span>
5 0
3 years ago
HELP FAST 20 PTS! <br> Simply (- 6/5)^3<br> A) 216/125<br> B) 18/15<br> C) - 18/15<br> D) - 216/125
Marrrta [24]
The answer to the question is d
8 0
3 years ago
Other questions:
  • What is the square root of 25?
    10·2 answers
  • 4 *10^5* 3* 10^3 aASAP HELP
    12·1 answer
  • 3,400 round to the nearest thousands
    7·1 answer
  • Billy Bob got his first job minimum wage. If he earns $108.75 after working 15 hours, how much money will he earn after 20 hours
    14·2 answers
  • 20,5,15,35,75,155 pattern
    7·2 answers
  • Bob and Mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum
    15·2 answers
  • 1 point<br>Order the values from least to greatest.<br>-6.5, -8.5, -17, -4, -7​
    13·2 answers
  • What's X in the diagram??
    13·2 answers
  • Answer for brainliest.
    6·1 answer
  • |–837.76| 837.76<br><br> &lt; &gt; = <br> please help me
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!