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
Alex787 [66]
3 years ago
6

Optimization. A rectangle is to have an area of 32 square cms. Find its dimensions so that

Mathematics
1 answer:
arsen [322]3 years ago
6 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

xy = 32 makes y = 32/x z² = (32/x)² + (x/2)²

<span>Isolate z
</span>z = 32/x + x/2 

Find dz/dx

fr(z) = (x² - 64)/ (2x²)

<span>Set z' = 0, algebraically solving for x having
</span>x +- 18

<span>Since you cannot have a dimension of -8, the only answer for x is 8.
</span>
<span>Go back to the original area equation; 32 = xy and plug in x making
</span><span>32 = 8y
</span><span>y = 4</span>
You might be interested in
A pair of ordinary dice is rolled. What is the probability that each die will show a number higher than 4. 1. (1/36) 2. (1/12) 3
mihalych1998 [28]

Answer:

the answer is 1/12

Step-by-step explanation:

it is 1/12 because if there are only a pair you would have 2 dice. and since each die has numbers all the way up to 6 all you have to do is add them. and don't count all the numbers. like add 1+2+3+4+5+6. that's just plain wrong just do add the highest number on each die (6+6)

8 0
3 years ago
The mean is 0.500 and the standard deviation is 1.84 x 10-3. Gaussian Statistics Apply. How many replicate determinations are ne
Dmitriy789 [7]

Answer:

I don't know but do you know how to answer this:

Two similar right triangles have areas of 6 square inches and

150 square inches. The length of the hypotenuse of the smaller

triangle is 5 inches. What is the sum of the lengths of the legs

of the larger triangle?  

7 0
3 years ago
Read 2 more answers
In a long-jump competition, Connor jumped 160 centimetres.
xeze [42]

Answer:

290 cm

Step-by-step explanation:

There are 100 centimeters in a meter so 1.3m*100 is 130cm

130+160cm is 290cm.

6 0
2 years ago
What was darios hourly wage ¿
Stella [2.4K]

Answer:

$12 per hour

Step-by-step explanation:

On the graph it shows he earned $24 in 2 hours, so divide how much he earned by two to get the amount he earned in just one.

7 0
3 years ago
Read 2 more answers
a meteorologist measures the angle of elevation of a weather balloon with the ground as 41. A radio signal from the balloon indi
Aneli [31]
Here you would use right triangle trig (SOH CAH TOA)
So first draw a right triangle. Imagine youre standing at the angle opposite the right angle which is the one on the ground.This angle is the 41°. Now Imagine the balloon is as the angle above the right triangle. Well since the balloon is 1503 m from his location this would be the hypotenuse. SInce we are trying to find the height (x) we would use sine since
sine = opposite/hypotenuse . Now lets solve make sure calculator is in degree mode:

sin41 = x/1503      multiply both sides by 1503 to cancel it out
1503sin41 = x        plug into calculator
x = 986.057 ft
The balloon is 986.057 feet above the ground.


6 0
3 years ago
Read 2 more answers
Other questions:
  • Tell whether the expressions in each pair are equivalent <br><br> 5·(4-4) and 0
    11·1 answer
  • a tank has x gallons of water. ted adds 3 gallons of water into the tank. He pours the water equally into 4 smaller containers.
    5·2 answers
  • One fifth of the 60 eggs were placed in a box. How many eggs were placed in each box
    9·1 answer
  • In right triangle PQR, if sinP=5/13, then tanP=<br><br> 5/12<br> 12/13<br> 12/5
    15·2 answers
  • If 5+20-22-3x = 10-2-2x + 5, what is the value of x?
    7·1 answer
  • Help me if youre my friend
    10·2 answers
  • Plz helps it's due today​
    9·2 answers
  • HELP!! Determine whether the pair of lines are parallel, perpendicular, or neither. 8x=3y+2 -16x+6y=2.
    6·1 answer
  • Round 771 to the nearest hundred
    9·2 answers
  • Write an equation in slope intercept form for the line with slope -3 and y-intercept -1
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!