Find the dimensions of a rectangle with area 729000 m2 whose perimeter is as small as possible. (Give your answers in increasing order, to the nearest meter.)

Answers

Answer 1

Step-by-step explanation:

Area of a rectangle = Length * Width

A = LW

729000 =  LW .... 1

Perimeter of a rectangle P = 2L+2W

P = 2L+2W

From 1;

W = 729000/L

P = 2L + 2(729000/L)

P = 2L + 1458000/L

To minimize the perimeter, dP/dL = 0

dP/dL = 2 -  1458000/L²

2 -  1458000/L² = 0

2L² - 1458000 = 0

2L² = 1458000

L² = 729000

L = √729000

Length = 853.8m

W = A/L

Width = 729000/853.8

Width = 853.8

Hence the dimension to the nearest meter is 854m by 854m


Related Questions

If you are self-employed, you don't have to pay FICA on all your salary, just on 92.35% of it. If your salary is $128,255 what is your total monthly contribution (FICA is 15.3%)?

Answers

Answer:$1,510

Step-by-step explanation:

Write the equation in slope-intercept form.
- 4x – 10y = -7

Answers

Answer:

The answer will be in the form y=mx+b

y= - [tex]\frac{2}{5}[/tex] x + [tex]\frac{7}{10}[/tex]

Brainliest please

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of -4x - 10y = -7 in slope-intercept form is

y = (-2/5)x + (-7/10)

What is slope intercept form?

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of a line in slope intercept form is given by:

y = mx + c

m = slope

c = y-intercept

We have,

-4x - 10y = -7

Add 4x on both sides.

-4x - 10y + 4x = 7 + 4x

-10y = 7 + 4x

Multiply -1/10 on both sides.

y = -1/10 ( 7 + 4x )

y = -7/10 - (4/10)x

y = (-2/5)x + (-7/10)

Thus the equation of -4x - 10y = -7 in slope-intercept form is

y = (-2/5)x + (-7/10)

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Can Someone help a girlll outttt pleasee
364÷2853.76 < I will appreciate it !!! <3

Answers

Answer:

364 divided by 2853.76 = 0.13 or 0.128

Step-by-step explanation:

Evaluate 13 + 6/y when y = 6

Answers

Answer: 14

Step-by-step explanation: According to PEMDAS you do division first so if y=6 then you do 6/6=1. Then add 13+1

Answer:

14

Step-by-step explanation:

13 + 6/y

13 + 6/(6)

13 + 1

14

please help will give brianliest

Answers

Answer:

I helped

Step-by-step explanation:

you okay do can I get some points cuh

Answer:

with what?? >_>

YALLLL PLEASE HELP MEEE ASAP PLEASE PLEASE HELP I WIIIL MAKR BRANLIEST TO HOWEVER GIVES THE ANSWER FIRST AND IS CORRECT!!!!
Write the equation of the line that has a slope of 4 and goes through the point (,-4,6)

Answers

Answer:

y=4x-10

Step-by-step explanation:

The zoo is creating a new tank for some of its fish. The zoo wants the tank to be a cube and be able to hold 3,375 cubic feet of water. What equation would you solve to find the length of each side of the​ tank?

Answers

Answer:

³√3375

Step-by-step explanation:

Hope this will help guys

50 points!
What is a quartic function with only the two real zeroes given? x = 5 and x = 1

y = -x4 - 6x3 + 6x2 - 6x + 5
y = x4 + 6x3 - 6x2 + 6x - 5
y = x4 - 6x3 + 5x2 - 6x + 6
y = x4 - 6x3 + 6x2 - 6x + 5​

Answers

Answer

y = x4 - 6x3 + 6x2 - 6x + 5​

Step-by-step explanation:

usually factor and set each factor = to 0 and solve for x...so we will unsolve it.

x=5 and x=1 If you meant quartic. Quartic is a function where the leading term has a forth power. So, you can multiply the quadratic function times any other quadratic function that only gives you complex answers...the easiest would be  

y = x4 - 6x3 + 6x2 - 6x + 5​

Answer:

y = x4 - 6x3 + 6x2 - 6x + 5​

Step-by-step explanation:

Hope this helps

For what values of a does the equation ax^2+x+4=0 have only one real solution?

Answers

Answer:

1/16

Step-by-step explanation:

To have one real solution, the discriminant must be 0.

b² − 4ac = 0

1² − 4a(4) = 0

1 − 16a = 0

a = 1/16

A line contains the points A, B, C, and D. Point B is
between points A and C. Point D is between points C
and B. Which of the following inequalities must be true
about the lengths of these segments?
F. BC < AB
G. BD < AB
H. BD < CD
J. CD < AB
K. CD

Answers

Answer:

a

Step-by-step explanation:

aa

Samir usually drink 3 cups of coffee in the morning how many liters of coffee does he drink round

Answers

Answer:

0.709765 liters

Step-by-step explanation:

PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.

Evaluate.

(2/7)^3

A: 8/343
B: 8/7
C: 3/343
D: 6/7

Answers

Answer:

8/343

so A

Step-by-step explanation:

Who is the most powerful undertale character

Answers

Answer:

Asriel Dreemurr

Step-by-step explanation:

Answer:

clearly the gay robot

hes my favorite <3

Type the correct answer in each box Functions h and k are inverse functions, and both are defined for all real number Using this relationship, what is the value of each function composition? (h*k)(3) ​

Answers

The value of the given composite functions would be,

1) (h o k)(3) = 3

2) (k o h)(-4b) = -4b

How to interpret Inverse Functions?

When two functions are inverses, then each will reverse the effect of the other.

For the functions f and g, we can say that;

(f o g)(x) = x and (g o f)(x) = x

For the given example,

The functions h and k are inverse functions.

Thus, for any real input value 'x',

(h o k)(x) = x and (k o h)(x) = x

So, the value of the given composite functions would be,

1) (h o k)(3) = 3

2) (k o h)(-4b) = -4b

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solve the equation

(-7) (-5)

Answers

The answer is 35 i think but i am not sure

BRAINLIEST if you get it correctly and fastest

Answers

Answer:

The third one

Step-by-step explanation:

IF THIS GETS TAKEN DOWN IMA SCREAM

Write the slope intercept form of the equation of each line. Help me plz

Answers

The equation of the line in slope-intercept for is y=-1/2x-2

25 POINTS! factor the trinomial:[tex]x^2-2x-2[/tex]

Answers

( x − 1 + i ) ( x − 1 − i )

Step-by-step explanation:

_____________ (x-1+i)(x-1-i)

What is the slope of the line?answer

Answers

Answer:

1

Step-by-step explanation:

the rise is 1

and the walk is 1

what is the graph of 4x + 8y = 16?​

Answers

Answer:

See attachment for what the graph looks like.

Step-by-step explanation:

When you graph these equations, convert 4x+8y=16 into slope-intercept form, which should be y= -1/2x+2.

In this case, 2 is the y-intercept, the part of the line that intercepts with the y-axis, with a negative (goes downward) slope of 1/2.

The line should intersect at (0,2) and have a slope of -1/2.

The x-intercept of the line is at 4 and the y-intercept of the line is at 2. Then the graph is sketched below.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and 'b' is the y-intercept of the line.

The equation of the line is given below.

4x + 8y = 16

Convert the general form of the line into an intercept form. Then we have

4x + 8y = 16

x/4 + y/2 = 1

The x-intercept of the line is at 4 and the y-intercept of the line is at 2. Then the graph is sketched below.

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which statement best describes the range of f(x)=-2

Answers

The range is -2,infinite

Approximately 18% of the population of California is 70 years or older. In a random sample of 4, what is the provability for 3 of these people to be older than 70 years old.\

Answers

Answer:

The correct response will be "0.01913".

Step-by-step explanation:

According to the question,

p - P(70 years or older)

= 0.18

n = 4

X = no. of individuals who are older than 70 years

Now,

∴ [tex]P(X=r)=n_C_r \ p^r(1-p)^{n-r}[/tex]

∴ [tex]P(X=3)=4_C_3(0.18)^3(1-0.18)^{4-3}[/tex]

                   [tex]=4\times (0.18)^3(0.82)^1[/tex]

                   [tex]=0.01913[/tex]

 

4) On a 75-question multiple choice test, Niran answered 64 questions correctly. What was his percentage score?

Answers

I believe that his percentage was 85%

PLEASE HELP MEEE!! I will give brainliest!
Find a counterexample to show that the following statement is false. Thrice a number is always greater than the number.

Answers

Answer:

a

Step-by-step explanation:

3 times 0 is still zero so its not grater


PQR is a right-angled triangle.
Work out the size of angle PQR.
Give your answer correct to 1 decimal place.
Total marks: 3​

Answers

Answer:

67.4

Step-by-step explanation:

In picture listed above.

Brainliest Appreciated.

The measure of the angle PQR will be 67.4 degree.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Sides of a triangle are 13 cm , 5 cm, and 12 cm.

And, The angle PRQ = 90 degree.

Now,

Find the measure of angle PQR as;

The triangle PQR is a right triangle and PQ = 13 cm and PR = 12 cm.

Let measure of an angle PQR = θ

So, We can formulate;

sinθ = PR/PQ

sinθ = 12/13

θ = 67.4 degree.

Thus, The measure of the angle PQR will be 67.4 degree.

Learn more about the triangle visit:

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18% of the cars in the parking lot are blue.If there are 150 cars in the parking lot,how many cars are blue

Answers

Answer:

Step-by-step explanation:

14

is {3/4,3} a solution to y-8x=3

Answers

Plug in the points
3 - 8(3/4) = 3
3 - 6 = 3
3 = 9
False, so no. (3/4,3) is not a solution to the equation.

Answer:

No it is not a solution

Step-by-step explanation:

If you put 3/4 in x you get

y-8*3/4=3

y-6=3

y=9

Wich is not equal to 3

What is the value of X? GIVING BRAINLIEST FOR WHO ANSWERS BY 5 MINUTES.

Answers

Answer:

15

Step-by-step explanation:

triangle is isosceles

Solve the inequality -5(x-7)<15 algebraically for x

Answers

Answer:

x>4

Step-by-step explanation:

trust

The following is a conversion table for hours and minutes. Which numbers belong in the hours column?

1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6

Answers

Answer:

Lesson 2 and metric conversions from Module 2. ... Problem 2: Convert hours to minutes. ... of minutes in one hour. How many minutes are in an hour? 0. 1. 2. 3. 4. 5. 6. 7. 8.

The complete table is given below. Then the correct option is C.

       Hours     Minutes

  2             120   3             180   4             240

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The following is a conversion table for hours and minutes.

We know that in one hour, there are 60 minutes.

In two hours, there are 120 minutes.

In three hours, there are 180 minutes.

Similarly, in four hours, there are 240 minutes.

Then the complete table is given below.

Hours     Minutes

  2             120

  3             180

  4             240

Then the correct option is C.

The complete question is given below.

The following is a conversion table for hours and minutes. Which numbers belong in the hour's column?

Hours        Minutes

                    120

                    180

                    240

More about the Algebra link is given below.

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