Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 529 square meters. Round each dimension to 4 decimal places

Answers

Answer 1

Answer:

[tex]x=23/\sqrt{6}[/tex],

[tex]y= \frac{23}{6\sqrt{6}}[/tex]

Step-by-step explanation:

From the question we are told that

Surface area is 529 square meters

Generally the dimensions of the cuboid

[tex]v=x^y[/tex]

[tex]D=4xy+2x^2 =529[/tex]

[tex]V=x^29(\frac{529-6x^2}{4x})[/tex]

[tex]V' =529-6x^2/4[/tex]

[tex]v'=0[/tex]

Therefore

[tex]529=6x^2[/tex]

[tex]x=\sqrt{\frac{529}{6} }[/tex]

[tex]x=23/\sqrt{6}[/tex]

Mathematically

[tex]v''=\frac{12x}{4}[/tex]

[tex]v''=-3\frac{23}{\sqrt{6} }<0[/tex]

[tex]y= \frac{529-2*(\frac{529}{6} }{4*\frac{23}{\sqrt{6} } }[/tex]

[tex]y= \frac{23}{6\sqrt{6}}[/tex]

Therefore

[tex]x=23/\sqrt{6}[/tex]

and

[tex]y= \frac{23}{6\sqrt{6}}[/tex]


Related Questions

Solve for x:

a

3
b

9
c

1.5
d

13.5

Answers

Hi there! :)

[tex]\large\boxed{\text{ x = 9}}[/tex]

The two angles pictured are vertical angles, therefore:

8x - 6 = 6x + 12

Solve for x by subtracting 6x from both sides:

2x - 6 = 12

Add 6 to both sides:

2x = 18

Divide both sides by 2:

x = 9.

Answer:

9 is ur answer

Step-by-step explanation:

8x-6=6x+12

8x-6x=12+6

2x=18

x=9

Hope this helps u...

Kelli has $33 in her checking account. She then writes a check for $42. What is the balance of Kelli's bank account?

Answers

Answer:

-9

Step-by-step explanation:

42-33= 9

But she is writing a check for $42 and only has $33 so that will send her into negatives.

text me (850)-814-8472.​

Answers

Answer: kk

Step-by-step explanation:

Hong made $323 for 17 hours of work

At the same rate, how much would he make for 7 hours of work

Answers

Answer:

$153

Step-by-step explanation:

323/17=19

19x7=153

In circle O, RT and SU are diameters. Circle O is shown. Line segments S U and R T are diameters. Line segment O V is a radius. Point V is between points R and U. Angle W O R is (13 x) degrees and angle T O U is (15 x minus 8) degrees. If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64° 87°

Answers

Answer:

You first have to work out T O U and the answer will be a negative. This means that it will be within another angle

Answer: C 64

Step-by-step explanation:

what is the degree of x^6+4x-3​

Answers

Answer:

1.2599

Step-by-step explanation:

If an orca is 200 m below the surface of the water and then swims up and jumps 5 m in the air, what is the total distance it traveled?

Answers

Answer:

Total distanced traveled = 205 m

Step-by-step explanation:

200 m+5 m=205 m

A city has a 5% sales tax.

A book costs $32.55 after tax.

How much did it cost before tax?
*please answer quick and tell me how you did it*

Answers

Answer: $30.92

Step-by-step explanation:

First step is to turn 5% into a decimal so that you can use it easier in a math sentence -- 0.05

Next, find out what 5% of $32.55 is by multiplying

0.05 x 32.55

= 1.6275

Round to the nearest cent because we don't use anything smaller than a cent when we are talking about money.

= $1.63

This is the amount of tax included in the price of $32.55

If we want to know what it the book cost before tax we simply take the tax off.

$32.55 - $1.63

= $30.92

Hope that helps :)

Jada made 8 cups of blueberry jam and divided the jam equally among 6 containers. How much jam went in each container?

Answers

Answer:

1.3 repeated is the answer

Answer:

Well if there is 8 cups and you want to divide it equally into 6 containers that would be 1.33 cups in each container

Alex says, if I split a shape into four parts,I have split it into quarters

Answers

The four parts need to be equal, only then the shape will be said to have splitted in quarters.

ILL BRAINLIEST
Dan bought x grams of sugar. Clare bought 2/5 more than that. Which equation below represents the relationship between the amount of sugar Dan bought, x, and the amount Clare bought, y? *

y = 2/5x

y = 4/5x

Y = x + 2/5x

y = x - 2/5x

Answers

Answer: d

Step-by-step explanation:

5cd.(-cd)
Monomials and polynomials

Answers


If you can reword this I might be able to help you but I don’t understand it in this wording 5cd

Select the correct answer.
What are the slope and the y-intercept of the line of best fit on this scatter plot?

Answers

Answer:

A

Step-by-step explanation:

slope is change in y over change in x, line goes down 4, right three whole units, making the slope -4/3

y-intercept is where the line hits the y-axis

the line hits the y-axis at (0,8)

this makes the y-intercept 8

Answer:

The y-intercept is 8 , and the slope is -4/3.

Step-by-step explanation:

A right cone has a slant height of 20 feet, and the diameter of the base is 24
feet. What is the height, h, of the cone?
20 ft
24 ft
A. 544
B. 12 ft
c. 256 ft
D. 16 ft

Answers

Answer:

D. 16 ft

Step-by-step explanation:

h = √20² - (24/2)² = √400-144 = √256 = 16

please help! asap
d- 5.44

Answers

Answer:

Step-by-step explanation:

2.72 is the unit rate

Sunflower we haved renewed your helper thank you with working with our business

Answers

Answer: wdym? do u need any help

Step-by-step explanation:

A mason has 7,758 bricks that he needs to share equally among 9 dierent building sites. How many bricks should go to each site?

Answers

Answer:

The answer is 862

Step-by-step explanation:

All you have to do is divide 7758 by 9 which would equal 862. Hope this helps.

A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7 gallons of gas? 63 7 7 63 ECO II 63 = 3​

Answers

Answer: With 7 gallons of gas, the car can travel 147 miles.

The proportion is:

N*(63 miles/3) = total distance the car can travel with N gallons of gas.

Step-by-step explanation:

We know that with 3 gallons of gas, the car can travel 63 miles.

Then for N gallons of gas, we first need to count the number of times that 3 is in N.

This is equal to the quotient between N and 3:

N/3

This is the number of times that we have 3 gallons of gas, in a total of N gallons of gas.

And for each one of these, the car can travel 63 miles.

Then the total distance that the car can travel with N gallons of gas is:

(N/3)*63 miles. = N*(63 miles/3) = total distance the car can travel.

In this case, we want to know how many miles the car can travel with 7 gallons of gas, then if we use that equation we get:

(7/3)*63 miles = 147 miles.

Katie's deli can make 60 sandwiches in 4 hours. Stacy's can make double that in the same amount of time. How many sandwiches can Stacy's deli make in 6 hours​

Answers

Answer:

Step-by-step explanation:

Answer: 150 sandwhiches

Step-by-step explanation: 60 sandwhiches in 4 hours. 15 sandwhiches per hour so you add 30 to the doulbe of 60 which is 120 then you add 30

can someone fact check this to make sure its correct

Answers

All your answers look good!

Answer:

looks good

Step-by-step explanation:

Solve pls
2x - 5 = 7

Answers

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

[tex]2x - 5 = 7 \\ 2x = 12 \\ x = 6[/tex]

Hey there!

“Solve 2x – 5 = 7”

FIRST: ADD both SIDES by 5

2x – 5 + 5 = 7 + 5

CANCEL out: –5 + 5 because it gives you 0

KEEP: 7 + 5 because it helps us solve for x

7 + 5 = 12

NEW EQUATION: 2x = 12

SECOND: DIVIDE both sides by 2

2x / 2 = 12 / 2

CANCEL out 2 / 2 because that gives you 1

KEEP: 12 / 2 because it gives you the value of x

NEW EQUATION; x = 12 / 2

SOLVE ABOVE and you have your answer

12 / 2 = 6

Therefore, x = 6 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Please answer this correctly without making mistakes

Answers

Answer:

6 tbsp and 2 tsp

Step-by-step explanation:

Hope this helps!

Maria wants to add to her CD collection. If a CD costs $12, which expression shows the cost of d CDs? A. 12 - d B. 12 ÷ d C. 12 + d D. 12 × d

Answers

Step-by-step explanation:

Cost of CDs

= Number of CDs * Cost of one CD

= d * $12

= $12d. (D)

The answer is using multiplication as we have a unit rate and we wish to find the total.

Answer:

D. 12*d, or 12d

A fertilized egg receives 50% of its chromosomes from sperm and 50% from the egg. Which process ensures that the sperm and egg contain only 50% of the chromosomes of an organism?

Answers

Answer:

           

Step-by-step explanation:

Answer:

U ଏହାକୁ ଡିକୋଡେଡ୍ କରିନାହିଁ ତୁମେ ଏତେ ଅଦ୍ଭୁତ ଏବଂ ମୂକ ଲୋଲୋଲ୍ |

Step-by-step explanation:

When is subtraction always the first operation done in an expression? a. When it is the first operation in an expression, from left to right. b. When it follows addition in an expression. c. When it is in parentheses in an expression. d.Never. 1.

Answers

Answer:

Naruto usamaki is the greatest hokagey in the leaf village

Step-by-step explanation:

I took the test on edge

Find the discriminant of the equation.Then determine the number of real or non real solutions.INCLUDE STEPS/WILL MARK BRAINLIEST ASAP

x^2+4x=-3

Answers

Let me know if you can see it

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of \$200$200dollar sign, 200 a month and an additional \$12$12dollar sign, 12 for each album that he sells. Last month he earned a total of \$644$644dollar sign, 644.
Write an equation to determine the number of albums (a)(a)left parenthesis, a, right parenthesis Floyd sold last month.

Answers

Answer:

$2003364789

Step-by-step explanation:

24300+27990009+330065 multiplied by the power of 6 is 6999235.

Answer:

12a + 200 = 644

37 albums

Step-by-step explanation:

trust me i got it right on khan

Explanation:

it says $12 for each album

when you see the key word each then next beside it is the variable

also you add 200 because the key word is additional which means to add

it equals 644 because the key word is he earned a total

Tip: when you have equations underline the key words that would really help

also i just had the same problem

So therefore our equation would be: 12a + 200 = 644

and the number of albums sold is: 37

good luck on your work

Typed oral Question –
Each stand at the cricket stadium can seat 200 people. If there are 100 stands in the stadium.Create the multiplication problem using this information.

Answers

Answer:

If the stadium has 100 stands, it can accommodate 20,000 spectators.

Step-by-step explanation:

In order to determine the number of spectators that can enter the cricket stadium, knowing that it has 100 stands and that each of these has a capacity of 200 seated spectators, the following calculation must be performed:

200 x 100 = X

20,000 = X

Therefore, the cricket stadium has a capacity of 20,000 people seated.

Which is the better buy? 22 vitamins for $2.00 at Rite Aid or 40 Vitamins for $3.00 at CVS. Explain why​

Answers

Answer:

40 for $3

Step-by-step explanation:

you get an extra 18 for $1:00 here if you got 2 of each 22+22 is 44 for $4 40+40 is 80 for $6

hope this helps

What three ratios are equivalent to 10:12

Answers

Answer:

5:6, 20:24, 30:36

Step-by-step explanation:

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