Fencing with the length of 840 m surrounds two identical playing fields with a common side. The fields can be side-by-side and separated by a fence, as shown in the figure. Find the dimensions in the maximum area of each field.

Fencing With The Length Of 840 M Surrounds Two Identical Playing Fields With A Common Side. The Fields

Answers

Answer 1

Answer:

x = 140   y = 105                x · y = 14700 m²

Step-by-step explanation:

good question

it looks like 3 sides of length x

and 4 sides of length y

area 1 = area 2

and the length of all the sides sum to 840

  3x + 4y = 840      find the maximum area = 2· x · y

This is a calculus problem that I can't remember how solve

 if x = 0   y = 210

           if   y = 0   x = 280       280 / 2 = 140   the mid-point  the logical answer

if x = 140   y = 105                x · y = 14700 m²         this appears to be the max

if x = 135   y = 108.75            x · y = 14681.25 m²      smaller area

if x = 145   y = 101.25             x · y = 14681.25 m²      smaller area

I need an eqaution with a quadratic and take the first derivative

 y = (840 - 3x) / 4      xy = max area     y = max area/x

(max area) / x = (840 - 3x) / 4      solve for x

    max area  = x(840 - 3x) / 4

    max area  = [840x/4 - 3x²/4] '        

    max area  = 210x  -  3x²/4            take the first derivative  

    max area  = 210  -  6x/4               maximum occurs when slope = 0

           0   =  210 - 3x/2    

        3x/2 = 210

           x  = 210·2/3

           x  = 420 / 3

          x  = 140   y = 105

3(140) + 4(105) =   420 + 420  = 840    checks


Related Questions

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.4 and 51.4 min.

P(50.4 < X < 51.4) =

Answers

Answer:

=0.70

Step-by-step explanation:

p(x < 51.4) = (51.4-50.0)/(52.0-50.0)

p(x < 51.4) =1.4/2

=0.70

please help me i need to reconcile but it is hard, thank you

Answers

Answer:

Step-by-step explanation:

Add the first two columns - third column. See if it equals last column.

Number one is correct, number 2 is off by $1.00,etc

let me know if you are still confused

Triangle UVW has a perimeter of 11.5 units. Solve for y.

Answers

Answer:

y = 3.2 units

Step-by-step explanation:

Find the missing angle measure x. Use the fact that all interior angle measures in a triangle add up to 180 degrees.

55 + 50 + x = 180105 + x = 180x = 75

We can use the Law of Cosines to determine the missing side length y.

a² = b² + c² - 2bc · cos(A)

Let's set UW (y) as a, WV as b, and UV as c. Therefore, ∠V must be A, ∠U must be B, and ∠W must be C.

Use the Law of Cosines to solve for a (side length y).

a² = b² + c² - 2bc · cos(A) a² = (4)² + (3.5)² - 2(4)(3.5) · cos(50) a² = 28.25 - 28cos(50) a² =  28.25 - 17.99805307 a² = 10.25194693 a = 3.20186616366    

Side length y is equal to 3.2 units.

What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 9 and 12. How many solutions does this problem have

Answers

Answer:

34 the answer

Step-by-step explanation:

Help please thank you !!

Answers

Answer:

AC and AE

Step-by-step explanation:

Those are the only secants in the image shown.

Find the surface area of the prism.
2 in.
2 in.
6 in.

Answers

Answer:

56 m^2

Explanation: L=2, H=2, W=2, d = 6.63324958 m, TSA = 56 m^2, LSA = 48 m^2, TSA = 4 m^2, BSA = 4 m^2, V = 24 m^3

Question 1 (10 points)
A jar lid has a diameter of 32
millimeters. What is the
circumference of the lid to the
nearest tenth?
Blank 1:

Answers

Step-by-step explanation:

C=2πR=πD=3.14*32=100.5 mm

Pls help me if u can

Answers

Answer:

523.33 cm³

Step-by-step explanation:

Formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {5}^{3} [/tex]

[tex] = \frac{1570}{3} [/tex]

[tex] = 523.3333333...[/tex]

= 523.33 cm³ (rounded to the nearest hundredth)

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Answers

Answer:

boom boom boom

Step-by-step explanation:

Answer:

ok?

Step-by-step explanation:

Given N , what is mABC

Answers

A is 222 answer c because answer c is correct because why is answer c 222 is best choice

7 x n = 42 + 7 what does n represent

Answers

Answer:

n=7

Step-by-step explanation:

n=7

In the expression 7 x n = 42 + 7, n represents a graph of a function in terms of x.

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have an expression:

[tex]\rm 7 x n = 42 + 7[/tex]

Solving for the term n

[tex]\rm 7xn = 49\\\\\rm xn = 7[/tex]  (divide by 7 on both sides)

[tex]\rm n = \frac{7}{x}[/tex]  or

[tex]\rm n = 7x^{-1}[/tex]

If x = 1, then value of n

n = 7

Thus, in the expression 7 x n = 42 + 7, n represents a graph of a function in terms of x.

Learn more about the function here:

brainly.com/question/5245372

The circle graph shows how Tremaine divided his time on the computer last week. Tremaine used the computer a total of 30 hours last week. How many more hours did Tremaine use the computer to play games than to do research?

A) 20 hours
B) 6 hours
C) 1.5 hours
D) 7.5 hours

Answers

Answer:

A) 20 hours

Step-by-step explanation:

:>>>

25-5=20

25-5=20 so the answer is A) 20 hours

There are 2 hikers, one of them wanders off the trail. How many hikers are left?

PLZ HELP!!!!!

Answers

1 hiker left the trail while 1 is still on it, so theres 1 hiker on the trail.

Write an equation, and solve. Round your answer to the nearest cent.
If 3 oz of granola costs $3.03, find the cost of 16 oz of granola.
The cost of 16 oz of granola should be $

Answers

Answer:

The cost of 16 oz of granola should be $16.16

Step-by-step explanation:

Given that,

The cost of 3 oz of granola is $3.03

We need to find the cost of 16 oz of granola..

As 3 oz = $3.03

1 oz = (3.03/3) = $1.01

The cost of 16 oz will be :

16 oz = 16×1.01

= $16.16

Hence, the cost of 16 oz of granola should be $16.16.

What is the median of the data set?
History Test Scores
50 8
65 6 8 9
70 3 5 8
80 6 7 7 7
9 0 1 3 5 6 8 99
50 = 50 points
50
0 87
49
86.5
86
Helppp!!

Answers

Answer:

86

Step-by-step explanation:

Median : the middle value of a set of data arranged in numerical order.

To solve: Place number in order from least to greatest then began crossing one off at the beginning of the data set and one at the end. (like your playing the game one for you , and one for me) The median will be the last number left without a match in the middle.

Answer:

The answer is 86 beacause

Step-by-step explanation:

I did the lesson so its correct if you think its wrong then i dont care at all or if u think i stole answer i really dont care

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options:

-17
-10
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Answers

Answer:

Dang someone come help him

Step-by-step explanation:

How many distinguishable permutations are there for the word SCIENCE?

Answers

Answer:

Step-by-step explanation:

= 7*6*5*4*3*2*1 = 5040.

Step-by-step explanation:

Step-by-step explanation:

= 7*6*5*4*3*2*1 = 5040.

In the Eqaulity -8 ≤ -5. Which number appears farther left on a number line and why?
A -8 appears farther left because -8 is smaller -5
B -5 appears farther left because -5 is larger than -8
C -8 appears farther left because -8 is larger than -5
D -5 appears farther left because -5 is smaller than -8

Answers

The answer is going to be number a

Martina and Cameron each want to run for president of their school's student body council . In order to do so, they must collect a certain number of signatures and get a nomination So far Martina has 10 signatures , and Cameron has 15. Martina is collecting signatures at an average rate of 2 per day, whereas Cameron is averaging 1 signature every day. Assuming that their rate of collection stays the same, eventually the two will have collected the same number of signatures . many signatures will they both have? Write a system of equationsgraph them, and type the solution

Answers

Answer:

20

Step-by-step explanation:

I hope the answer satisfies you and hope that you understand my handwriting as I have explained. Thanks for the problem, it also helps me.

#4 please help! One question seen in pic

Answers

Answer:

B. (x - 2)(x + 2)

Step-by-step explanation:

The answer is b. If you have (x + a)(x - a), the variables will cancel each other out. For example, if we take the answer (x - 2)(x + 2) and factor it out, we get:

x² - 2x + 2x - 4

Then it becomes just:

x² - 4 because the x to the power of one has been canceled. This proves his theory wrong.

Answer:

B

Step-by-step explanation:

I think I think I think I think

Please help I’ll mark you as brainliest if correct!

Answers

Answer: 34.52 Is the correct answer.

Please answer if you are SURE.

Answers

2x -7 , x = 1 , 2+ 7 , 2x - 7 = 14

The smaller cube measures 10 cm on each edge. What is the surface area?

Answers

Answer:

10 cm cubed or 10^3cm

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

6 sides x 10 x 10 = 600

this is the surface area

What is the average rate of change from x = −4 to x = 1?

Answers

Answer:

What is the average rate of change from x = −4 to x = 1? x= -4 x + 5

A composite figure is shown. What is the volume of the composite figure? 4 cm 6 cm 4 cm 9 cm 5 cm​

Answers

Answer:

No figure shown.

Step-by-step explanation:

Answanswer:

the answer is 4,320.

Step by-step explanation:

The reason the volume is this is becuase you first need to know the volume.

V= L x W x H. (Length and width are also called base.)

Now what you do is just multiply 4*6= 24*4= 96*9= 944*5= 3,420

Anyone know this.......

Answers

Answer:

a) The basic rate of pay is 6 sterling pounds per hour.

b) The higher rate of pay is 10 sterling pounds per hour.

Step-by-step explanation:

Both segments of the curve are first order polynomials, which means that each have constant slopes.

a) The basic rate of pay is the value of the slope ([tex]r[/tex]), in sterling pounds per hour, of the line for the first 20 hours worked, that is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex] (1)

Where:

[tex]\Delta x[/tex] - Change in hours worked, in hours.

[tex]\Delta y[/tex] - Change in pay, in sterling pounds.

If we know that [tex]\Delta x = 20\,h[/tex] and [tex]\Delta y = \pounds\, 120[/tex], then the basic rate is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex]

[tex]r = \frac{\pounds\,120}{20\,h}[/tex]

[tex]r = 6\,\frac{\pounds}{h}[/tex]

The basic rate of pay is 6 sterling pounds per hour.

b) By using (1), we calculate the higher rate of pay below. If we know that [tex]\Delta x = 10\,h[/tex] and [tex]\Delta y = \pounds \,100[/tex], then the higher rate is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex]

[tex]r = \frac{\pounds\,100}{10\,h}[/tex]

[tex]r = 10\,\frac{\pounds}{h}[/tex]

The higher rate of pay is 10 sterling pounds per hour.

what should be added to -7/3 to get 3/7
A.21/58
B.58/21
C.47/21
D.50/21​

Answers

Answer:

b

Step-by-step explanation:

Plzzzz help I give 100points

Answers

Answer:

The second 1: Beaver dams can make water safer and cleaner

Step-by-step explanation:

Since Beaver dams create wetland = new plants and animals to area = clean water, so  beaver dams = clean water.

Answer:

I WANT POINTS

Step-by-step explanation:

NOTHING TO SAY ABOUT I-Ready.

Which is more likely: rolling a total of 8 when two dice are rolled or rolling a total of 8 when 3 dice are rolled? Discuss your solution by explaining it.

Answers

Answer:

Rolling a sum of 8 from two dice is more likely

Step-by-step explanation:

To obtain which is more likely, we could obtain the individual probabilities of both events.

TWO DICE :

Sample space for 2 die rolls = total possible outcomes = 6² = 36

Number of favorable outcomes = sum of 8 from 2 rolls = 5

Probability = number of favorable outcomes / total possible outcomes

P(sum of 8) = 5 / 36 = 0.1388

THREE DICE :

Total possible outcomes = 6³ = 216

Number of favorable outcomes = 21

P(sum of 8) = 21 / 216 = 0.097222

0.1388 > 0.097222

Which side lengths form a right triangle?

Answers

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²

needed to apply

4²+√8²=24²

24≠576

not a right angled triangle

again

5²+√5²=5²

50≠25

side are not a right angled triangle

again

4²+7.5²=(8.5)²

72.25=72.25

side are a right angled triangle

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