a farmer wants to fence in three sides of a rectangular field shown below with 960 feet of fencing. The other side of the rectangle will be a river. If the enclosed area is to be a maximum, find the dimensions of the field. ​

A Farmer Wants To Fence In Three Sides Of A Rectangular Field Shown Below With 960 Feet Of Fencing. The

Answers

Answer 1

9514 1404 393

Answer:

  240 ft by 480 ft

Step-by-step explanation:

Area is maximized when the long side is half the total length of the fence. That makes the short side (out from the river) be half the length of the long side.

The fenced field dimensions are 240 feet by 480 feet.

__

You can let x represent the length of the long side. Then the length of the short side is half the remaining fence: (960 -x)/2.

The total area is the product of these dimensions:

  A = x(960 -x)/2

We note that this is the equation of a parabola with zeros at x=0 and x=960. The maximum will be found on the line of symmetry, halfway between the zeros. That is at x = (0 +960)/2 = 480.

The area is maximized for a long-side dimension of 480 feet. The short sides are 240 feet.

A Farmer Wants To Fence In Three Sides Of A Rectangular Field Shown Below With 960 Feet Of Fencing. The

Related Questions

Find the equation of the line.
Use exact numbers.

Answers

Answer:

(0,-3) and (6,0)

Step-by-step explanation:

Now you use two point form to make equation

Y2-Y1/Y-Y1=X2-X1/X-X1

here Y2=0 ,Y1=-3

X2=6 and X1=0  now put in equation to get answer

please answer! will give brainliest

Answers

Answer:

9.5 I think

STEPS-

9+4+11+14=38

38/4=9.5

5x+2 (6x-2) =98


For algebra two

Answers

Say this
First I simplified both sides of the equation.

5x+2 (6x-2)=98

5x+(2)(6x)+(2)(-2)=98

Then I distributed

5x+12x+-4=98
(5x+12x) + (-4)=98

Then I combined like terms

17x+-4=98
17x-4=98

Then I just added four both sides

17x-4+4=98+4 17x=102

Then lastly I Divided both sides by 17

17x/17 = 102/17 x=6

Which is why my final answer is 6

Kenneth's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 63 caffeinated
teas and 7 decaffeinated teas. What percentage of the teas served were caffeinated?

Answers

Answer:

90%

90% of the teas were caffeinated.

Step-by-step explanation:

Total teas: 63+7= 70

63/70 x 100/1= 90%

90% of the teas were caffeinated.

Answer:

90%

Step-by-step explanation:

solve for x,given the circle
below

with m

Answers

Answer:

x=8 is correct answer

Step-by-step explanation:

when you put 8 then as shown in figure it is about 90 degree angle so x=8 is correct

Assuming that the drug has no​ effect, so that the probability of nausea was 0.0124​, find the mean and standard deviation for the numbers of people in groups of 828 that can be expected to experience nausea.

Answers

Answer:

11.

Step-by-step explanation:

Given that the drug has no effect and that the probability of nausea was 0.0124, to find the mean and standard deviation for the numbers of people in groups of 828 that can be expected to experience nausea, the following calculation must be performed:

828 x 0.0124 = X

10.26 = X

Thus, the number of people who may feel nauseous after using the drug in question is 11 individuals.

Find the area of the shape shown below.

Answers

Answer:

24

Step-by-step explanation:

the area of the triangle is 4 x 2, which equals 8.

Then you calculate the area of the rectangle.

Area of Rectangle = L x W or (in this case) 8 x 4

8 x 4 = 32

Then you subtract the area of the triangle from the area of the rectangle

So, your equation would be 32 - 8  = 24

Therefore, the area of the shape is 24

Answer:  

24

Step-by-step explanation:

the area of the triangle is 4 x 2, which equals 8.

Then you calculate the area of the rectangle.

Area of Rectangle = L x W or (in this case) 8 x 4

8 x 4 = 32

Then you subtract the area of the triangle from the area of the rectangle

So, your equation would be 32 - 8  = 24

Therefore, the area of the shape is 24

Help Please!!!!!!!!!!!!
Graph x>4.

Answers

Answer:

graph

Step-by-step explanation:

This is your answer hope this helps

A circle has a diameter of 10 centimeters.

What is the best approximation of its area?

Use 3.14 to approximate for π.

Answers

Answer:

78.5

Step-by-step explanation:

hope i helped

Factorise the expressions and divide them as directed.​

Answers

Ok. These are the answers. Tell me if you didm't understand my writing.

Determine the missing side length:

Answers

Answer

35

Step-by-step explanation:

Using Pythagoras theorem since it's a right angle triangle,

The missing side, say h,is the hypotenuse

28²+21²= h²

784+441=h²

√1225=√h²

h=35

I need help Please will mark brainliest

Answers

Answer:

am pretty sure it is the frist one

How to solve this type of problem . I haven’t been able to advance .

Answers

Answer:

P=78,56 If something is not clear to you, just ask, I will be happy to help :)

Step-by-step explanation:

To calculate the total area of a figure, you divide it into several shapes.

P1, P2, and P3 are the area of the rectangle, P4 is the area of the square, and P5 is the area of one-quarter of the circle.

P1=a*b

P1=8*6

P1=48

P2=a*b

P2=3*2

P2=6

P3=a*b

P3=4*2

P3=8

P4=[tex]a^{2}[/tex]

P4=[tex]2^{2}[/tex]

P4=4

P5=[tex]\frac{1}{4} * r^{2} *\pi[/tex]

P5 = [tex]\frac{1}{4} * 4^{2} * \pi[/tex]

P5 =4[tex]\pi[/tex] or approximately 12,56

P = P1+P2+P3+P4+P5

P = 48+6+8+4+12,56

P=78,56

I have 6 yard of ribbon i want to make ornaments that use 1/4 yard each how many ornaments can I make​

Answers

Answer:

24

Step-by-step explanation:

It take 4 to make one yard and you need six yards soo..

6 x 4 = 24

Answer:

24 ornaments

Step-by-step explanation:

[tex]\frac{1}{4} = 25%[/tex]%

6 yards x 0.25 = 1.5 yards

[tex]\frac{6}{0.25} = 24[/tex] ornaments

to check:

24 ornaments x 0.25 yards each = 6 yards in total

6. A population of Florida fire ants grows at a rate of 8% a year. If there are 320 fire ants in
the initial population, find the sum of the geometric series after six population rotations.
PLZZZ HELP

Answers

Answer: 1920

Step-by-step explanation:

What is 50π estimated? What is it exact?

Answers

Answer:

157.079632679

a car has a tire radius of 36 cm. a stone gets stuck how many times will it hit the ground when the car travels a distance of 1 kilometer. PLS show your work

Answers

Answer:

2777 times

Step-by-step explanation:

You can choose to convert however you like, as long as you divide when they have the same units.

1km = 1000m = 100000cm

36cm = 0.36m = 0.00036

Hence, 1000m÷0.36m = 2777.77777...

Round down to 2777

The stone will hit the ground approximately 442 times when the car travels a distance of 1 kilometer.

What is speed?

Speed is the measure of how quickly an object travels a certain distance. It is defined as the distance traveled by an object divided by the time taken to travel that distance.

The unit of speed is typically meters per second (m/s) or kilometers per hour (km/h), although other units may also be used depending on the context.

Assuming that the stone is stuck at the bottom of the tire and remains there, the stone will hit the ground every time the tire makes a complete rotation. The circumference of the tire is given by:

C = 2πr

where r is the radius of the tire. Substituting the given value of r = 36 cm, we get:

C = 2π(36) cm ≈ 226.19 cm

Therefore, the tire travels a distance of approximately 226.19 cm with each complete rotation. To find out how many times the stone will hit the ground when the car travels 1 kilometer, we need to convert 1 kilometer to centimeters:

1 kilometer = 1000 meters = 1000 x 100 centimeters = 100000 cm

Dividing the distance traveled by the circumference of the tire, we get:

100000 cm ÷ 226.19 cm/rotation ≈ 442.28 rotations

Therefore, the stone will hit the ground approximately 442 times when the car travels a distance of 1 kilometer.

To know more about speed follow

https://brainly.com/question/30965512

#SPJ2

Find the product or type
"impossible"
[6 ]I-1
1 11
(-5
-5 3

Answers

Answer:

the answer is -58

Step-by-step explanation:

you factor out the negitive sign and calcuate.

Answer: [1/10 9/6]

Step-by-step explanation:

PLEASE HELP I WILL LITERALLY CASHAPP YOU IF YOU CAN ANSWER THIS CORRECTLY THIS IS NOT A JOKE

the members of a middle school Business Club want to raise money to attend a conference for young entrepreneur is so far the club has raised $450 members suggest a few new ideas Gina suggest that the club hold a carwash of Club will need to spend $30 on cleaning supplies before making a profit Gina present her plan to the club using the table below make a graph of the data to show the relation

*please include a graph of the data

part b: is the relation a function? if so write an equation for the function.

Answers

Answer:

f(x) = 5x - 30

Yes it is a function

Step-by-step explanation:

Because when you input 0 you get -30 we know it starts at 0 or (0,-30). This gives us b in the equation y = mx + b.

We know that for every 4 cars washed it increases by 20. So 20/4 is 5. This tells us m = 5.

Plug it all in and you get  y = 5x - 30 or f(x) = 5x - 30

Find the quotient 3/4÷1 1/10

Answers

Answer:

15/22

Step-by-step explanation:

The answer is 15/22 can i get brainliest???? huh

HURRY I NEED THE ANSWER

Answers

Answer:

i think it's the 2th one not sure tho

12x = 3y - w, solve for x

Answers

Answer:

[tex]x = \frac{3y - w}{12} [/tex]

Step-by-step explanation:

[tex] \frac{12x}{12} = \frac{3y - w}{12} [/tex]

[tex]x = \frac{3y - w}{12} [/tex]

6) How many solutions does the system have? y = 5x + 3 and y = -2x + 3

Answers

Step-by-step explanation:

5x + 3 = -2x + 3

7x = 0

x = 0

y = 0 + 3

y = 3

(0, 3)

one solution

72°
Х
X=
degrees.
please help

Answers

Answer:

18° lol it's too easy

Step-by-step explanation:

180-(90+72)

=180-162

=18°

Answer:

18 Degree

Step-by-step explanation:

all triangles the inside angle sum is 180 degree

so

72+90+x=180

162+x = 180

x= 180-162

x=18 degree

WILL GIVE 100 POINTS AND BRAINLIEST! Prove that the square of the second number out of three consecutive odd numbers is four greater than the product of the first and the third numbers.

Answers

Answer:

Let's choose the three odd consecutive numbers 1, 3, and 5.

3^2=9

1•5=5

9-5=4

Let's try the same thing, but with the numbers 101, 103, and 105.

103^2=10609

101•105=10605

10609-10605=4

So, yes, the square of the second number out of three consecutive odd numbers is four greater than the product of the first and the third numbers.

Pick 3 consecutive odd numbers:

3, 5, 7

Square the 2nd number: 5 ^ 2 = 25

Multiply the first and 3rd:

3 x 7 = 21

25-21 = 4

This is true.

Try another set of numbers:

9, 11, 13

11^2 = 121

9 x 13 = 117

121-117 = 4

Again it’s true.

x + y = 7
2x - 3y = -21

Answers

There is only one solution

When you graph both equations, they intersect therefore the intersection point tells you there is one solution. If it was infinitely many solutions then it would be the same line. If it was no solution then the graph would show to parallel lines.

Answer:

one solution

Step-by-step explanation:

Step: Solvex+y=7for x:

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7forxin2x−3y=−21:

2x−3y=−21

2(−y+7)−3y=−21

−5y+14=−21(Simplify both sides of the equation)

−5y+14+−14=−21+−14(Add -14 to both sides)

−5y=−35

−5y

−5

=

−35

−5

(Divide both sides by -5)

y=7

Step: Substitute 7 for y in x=−y+7:

x=−y+7

x=−7+7

x=0(Simplify both sides of the equation)

y = 7, x = 0

mr miller bought 1/3 pounds of nuts he divided the nuts equally among his three children how much did each child get​

Answers

Answer:

1/9

Step-by-step explanation:

1/3 ÷ 3 = 1/9

People use the KCF method for this kind of solution.

At first it is 1/3 ÷ 3/1, after that you need to flip the 2nd fraction. For example, to be able to flip the fraction to find the answer, the equation your supposed to get after flipping the 2nd fraction is 1/3 x 1/3 which makes 1/9.

simplifying y+1/y²-1​

Answers

Answer:

1

--------------

y-1

with the restriction y cannot equal -1

Step-by-step explanation:

y+1

--------------

y^1 -1

Noticing that the denominator is the difference of squares and factoring

y+1

--------------

(y+1)(y-1)

Canceling like terms

1

--------------

y-1

with the restriction y cannot equal -1

6) Find the LCM of 3 and 7.
• Which of these numbers are multiples of 3? Choose ALL that apply.
1
2
3
4.
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24

Answers

Answer:

Multiples of 3 are (3, 6, 9, 12, 15, 18, 21, 24)

LCM of 3 and 7 is 21

Answer:

the lcm of 3,7 is 21

Step-by-step explanation:

Find the prime factorization of 33=3

Find the prime factorization 0f 77=3

Multiply each factor 3x7=21

Help please will mark brainliest

Answers

B) all the number are greater then but not equal to 0
All numbers greater than or equal to zero. You can include zero because 0 squared equals 0. Therefore the square root of 0 equals 0
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