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
Tcecarenko [31]
3 years ago
13

An open-topped glass aquarium with a square base is designed to hold 13.513.513, point, 5 cubic feet of water. what is the minim

um exterior surface area of the aquarium?
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0
Suppose the aquarium's shape is a square prism, with each side of the square having length x, and the aquarium's height is y, so we have: 
<span> x^2 * y = 13.5
</span> <span>y = 13.5/(x^2) 
</span><span> The area of each side is xy, and there are four sides, so that totals 4xy 
</span><span> The area of the bottom is x^2 
</span><span> Total surface area: 
</span><span> A = x^2 + 4xy 
</span><span> A = x^2 + 4x(13.5/(x^2))
</span> <span>A = x^2 + 54x^(-1) 
</span><span> dA/dx = 2x - 54x^(-2) 
</span><span> Set the derivative to zero: 
</span><span> 2x - 54x^(-2) = 0 
</span><span> 2x = 54/(x^2) 
</span><span> 2x^3 = 54 
</span><span> x^3 = 54/2 
</span><span> x^3 = 27 
</span><span> x = cbrt(27) = 3, assuming x is a real number 
</span><span> A = 3^2 + 54*3^(-1) 
</span><span> A = 9 + 18
</span><span> A = 27 square feet</span>
You might be interested in
Find the volume of the composite solid figure<br>(picture provided of the shape)​
LiRa [457]

Answer:

Road shimmer

Wiggling the vision

Heat heat waves

I'm swimming in a mirror

Road shimmer

Wiggling the vision

Heat heat waves

I'm swimming in a

Sometimes, all I think about is you

Late nights in the middle of June

Heat waves been faking me out

Can't make you happier now

Sometimes, all I think about is you

Late nights in the middle of June

Heat waves been faking me out

Can't make you happier now

Usually I put

Something on TV

So we never think

About you and me

But today I see

Our reflections

Clearly in Hollywood

Laying on the screen

You just need a better life than this

You need something I can never give

Fake water all across the road

It's gone now the night has come but

Sometimes, all I think about is you

Late nights in the middle of June

Heat waves been faking me out…

8 0
3 years ago
Word phrase to represent 5x+2
notsponge [240]
Five times the number x plus two
7 0
3 years ago
Read 2 more answers
TO<br>A<br>TITY.<br>10. 5x + 2) &gt; 13​
grin007 [14]

5x - 2 = 13
5x = 13 + 2
5x = 15 (divide both sides by 5 to get x)
5x/5 = 15/5
x = 3
7 0
2 years ago
Which of the following shows 7.538 correctly rounded to the ones place?
SVETLANKA909090 [29]

Answer:

8.0

Step-by-step explanation:

7.538 start from 8 which is in the thousandth place. 8 will make the 3 turn into 4. 4 is too low so it doesn't change the 5. the 5 change the 7 to 8. so anything that is 5 and up you round up

5 0
2 years ago
How many solutions are there to the quadratic equation
Ray Of Light [21]

Answer:

2

Step-by-step explanation:

(-7)^2  -  4*3 *(-2) =   49 + 24  >0

discriminant is positive so 2 real roots

8 0
3 years ago
Other questions:
  • Please Help FAST!!!!!!<br><br> ASAP!!!!<br><br> What is needed when labeling a graph or chart?
    6·1 answer
  • Whats the error?katie divided 4.25 by 0.25 and a got a quotient of 0.17.
    12·1 answer
  • Pedro had $14.90 in his wallet. He spent $1.25 on a drink. How much does he have left? Estimate the answer by rounding to the ne
    7·1 answer
  • I need help ASAP.
    7·1 answer
  • D. How many dozen doughnuts are there in 46.2 doughnuts?
    11·2 answers
  • Which of the following points represents the center of a circle whose
    11·2 answers
  • rectangle DOIT has vertices at D(-20,3) O(20,3) I(20,-6) T(-20,-6) what is the area of rectangle DOIT
    9·1 answer
  • A sprinkler head turns through 40 one–degree angles every minute. What is the measure of the angle the sprinkler head turns afte
    11·2 answers
  • Find the least common multiple for the pair of numbers. 18,7
    14·2 answers
  • If 9 feet 2 inches of baseboard cost $15 how much would 75 feet cost?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!