A farmer has 160 ft. of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fencing along the river.

a) What are the dimensions of the field that has the largest area?

b) What is the maximum area?

A Farmer Has 160 Ft. Of Fencing And Wants To Fence Off A Rectangular Field That Borders A Straight River.

Answers

Answer 1

Answer:

L and B be the dimensions of field.

L+2B =2400ft.

AreaA = L×B=L×(2400-L)/2=1200L-L^2

For max.area to use the fencing dA/dL=1200-2L=0 or L=600ft

B=(2400-600)/2=900ft.

Total area = 540000ft^2.

Maybe?

Step-by-step explanation:

Quora


Related Questions

a farmer sold 1/4 of his 1500 flock of sheep. how many sheep dd he sell?

Answers

Answer:

375 sheep.

Step-by-step explanation:

To find 1/4 of 1500, you must divide the number by the denominator of the fraction.

1500 ÷ 4 = 375

Put these numbers in order from greatest to least
-2/8
34/40
9/12
4

Answers

Answer:

4, 34/40, 9/12, -2/8

Step-by-step explanation:

Hope this helps!

Help Asap

One tube of paint covers 1,400 square inches of ramp. Based on this, how many tubes of paint will be needed to paint the ramp

My answer from the answer above is 3,672 sq in.​

Answers

Answer:

  3

Step-by-step explanation:

The number of tubes can be found from an inequality that relates the number of square inches that can be painted to the number of square inches that must be painted.

Let t represent the number of tubes.

  1400t ≥ 3672 . . . . . the number of tubes that will paint at least 3672 in²

  t > 2.623 . . . . . divide by 1400

If only whole numbers of tubes are available, then ...

  3 tubes are needed to paint the ramp.

Answer:

Step-by-step explanation:

 The number of tubes can be found from an inequality that relates the number of square inches that can be painted to the number of square inches that must be painted.

Let t represent the number of tubes.

 1400t ≥ 3672 . . . . . the number of tubes that will paint at least 3672 in²

 t > 2.623 . . . . . divide by 1400

If only whole numbers of tubes a

Solve for x in the diagram below.

Answers

Answer:

x=20

Step-by-step explanation:

hope it will help you

Answer:

Step-by-step explanation:

x+ 2x + x +10 = 90

Combine like terms

          4x + 10 = 90

To isolate 'x', first subtract 10 from both sides

                 4x = 90 - 10

                 4x = 80

Now, divide both sides by 4 to get the value of 'x'

                    x = 80/4

                    x = 20

Is 4 4/9 + 8 7/9. 13 2/9 the mixed number

Answers

Answer:

Yes

Step-by-step explanation:

Correct

Callie stopped for lunch when she was shopping at the mall. She bought two pieces of
pizza for $2.95 each and a soda for $2.25. About how much did she spend? I have to round the numbers. HELP PLS

Answers

Answer:

She spent $8.15

Step-by-step explanation:

2 × $2.95 for two pizza = $5.9

$5.9 + an additional $2.25 for a soda = $8.15

A right triangle has a hypotenuse with a length 12 and a leg with
length 5. How long is the triangle's other leg?

Answers

Answer:

13

Step-by-step explanation:

pythagorean theorum

a^2+b^2=c^2

12^2+5^2=c^2

144+25=c^2

c^2=169

c=13

The length of the triangle's other leg is approximately 10.908.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

We can use the Pythagorean theorem to solve for the length of the other leg of the right triangle.

The Pythagorean theorem states that for any right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides (the legs).

That is, for a right triangle with legs a and b and hypotenuse c:

c² = a² + b²

In this case,

We know that the hypotenuse has a length of 12 and one of the legs has a length of 5.

Let's denote the length of the other leg as "x".

So we can set up the equation:

12² = 5² + x²

Simplifying, we get:

144 = 25 + x^2

Subtracting 25 from both sides, we get:

119 = x²

Taking the square root of both sides, we get:

x ≈ 10.908

Therefore,

The length of the triangle's other leg is approximately 10.908.

Learn more about triangles here:

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Help picture below problem 18

Answers

Answer:

by using pythagoras theorem

[tex] {h}^{2} = {p}^{2} + {b }^{2} \\ {28}^{2} = {17}^{2} + {es}^{2} \\ {28}^{2} - {17}^{2} = {es}^{2} \\ {es}^{2} = 495 \\ es = \sqrt{495} \\ es = 3 \sqrt{55} [/tex]

What is 40% of 160?
OA 20
OB. 40
OC. 32
OD. 64
OE 75

Answers

The correct answer would be D. 64

The 40 percentage of 160 is 64, the correct option is D.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

We are given that;

Total value= 160

Percentage= 40%

Now,

To find 40% of 160,

=40%=0.4

We can multiply 0.4 by 160.

=0.4*160

=64

Therefore, by the given percentage the answer will be 64.

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[tex]\begin{equation}\text { Question: If } \int_{\frac{-1}{\sqrt{2}}}^{\frac{1}{\sqrt{2}}}\left(\left(\frac{x-1}{x+1}\right)^{2}+\left(\frac{x+1}{x-1}\right)^{2}-2\right)^{\frac{1}{2}} d x\end{equation}[/tex]
Options:
(a) ln16
(b) 2ln16
(c) 3ln16
(d) 4ln16

Answers

We want to evaluate

[tex]\displaystyle \int_{-\frac1{\sqrt2}}^{\frac1{\sqrt2}} \sqrt{\left(\frac{x-1}{x+1}\right)^2 + \left(\frac{x+1}{x-1}\right)^2 - 2} \, dx[/tex]

First we note that the integrand is even (replacing x with -x doesn't fundamentally alter the function being integrated), so this is equal to

[tex]\displaystyle 2 \int_0^{\frac1{\sqrt2}} \sqrt{\left(\frac{x-1}{x+1}\right)^2 + \left(\frac{x+1}{x-1}\right)^2 - 2} \, dx[/tex]

The radicand reduces significantly to

[tex]\displaystyle \left(\frac{x-1}{x+1}\right)^2 + \left(\frac{x+1}{x-1}\right)^2 - 2 = \frac{16x^2}{(1-x^2)^2}[/tex]

so that taking the square root, we simplify the integral to

[tex]\displaystyle 8 \int_0^{\frac1{\sqrt2}} \frac x{1-x^2} \, dx[/tex]

which is trivially computed with a substitution of [tex]y = 1 - x^2[/tex] and [tex]dy=-2x\,dx[/tex]:

[tex]\displaystyle -4 \int_1^{\frac12} \frac{dy}y = 4 \int_{\frac12}^1 \frac{dy}y = -4 \ln\left(\frac12\right) = \ln(2^4) = \boxed{\ln(16)}[/tex]

Go math help very easy points​

Answers

Answer:

5, 10, 11, 12, 13, 14, 23, 28, 32, 32, 36, 41, 51, 63, 65

alsooo...

wHy cOUldn'T u dO It

OoooOooOOooooOOOO

brainly is NOT a cheat sheet :)

Determine the mean of the following data. Choose the correct option.
7, 8, 9, 2, 4, 5, 12, 9

Answers

Answer:

7

Step-by-step explanation:

mean means average

there are 8 numbers

add them all up

7+8+9+2+4+5+12+9=56

divide 56 by 8 = 7

in 1961 yuri gagarin became the first man to orbit the sun he traveled for 108 minutes at an average speed of 235 miles per minute how many miles did he travel

Answers

Answer:

25,380 miles

Step-by-step explanation:

108 minutes × 235 = 25,380

If l=5,b=3cm,c=2cm, find its volume

Answers

Answer:

30 cm³

Step-by-step explanation:

Volume = lbc

V = l x b x cV = 5 cm x 3 cm x 2 cmV = 30 cm³

Answer:

The volume is 30 cm³

Step-by-step explanation:

Volume = b×c

=> 5×3×2

=> 30 cm³

8 points
Find the measure of the arc or
angle indicated. Assume that
lines which appear tangent are
tangent. *
F
E
46°
?
?
570
D
с
T
O 123
O 149
O 167
O 93

Answers

que chingue a su madre la jimena.

Step-by-step explanation:

A supposed "lucky coin" is to be tested to see if it is unfair, that is, the proportion of "heads" results is not 50%. It is
flipped 100 times and found to land on heads only 41 times. Test the claim that the coin is unfair.

Answers

Answer:

you need question right why you didnt ask

Step-by-step explanation:

you have brainly search

The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (^); for example, enter x as X^2. DO
not include "G(x) =" in your answer.

Answers

The equation of the graph G(x) is (x - 4)^2 + 1.

We have given the graph below have the same shape.

We have to find the equation of the graph g(x).

We have to find the equation of g(x) by using the phase shifting.

What is the shifting of the graph?

A shift is a rigid translation in that it does not change the shape or size of the graph of the function.

Here we can see that the vertex of the graph in f(x) is (0,0) and the

vertex of the graph is g(x) is (4,1)

Therefore [tex]x^2[/tex] is replaced by [tex](x-4)^2[/tex].

and  is shifted upward one unit therefore we get

[tex]G(x)=(x-4)^2+1[/tex]

Therefore we get the graph of g(x)= (x - 4)^2 + 1.

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Eleanor is sewing a tablecloth for her circular kitchen table . The length from one edge of the table to the other 3ft. What is the minimum amount of fabric that Eleanor needs to purchase?

Answers

Answer:

[tex]7.07ft^{2}[/tex] or [tex]2.25\pi[/tex]

Step-by-step explanation:

To find the minimum amount of fabric, one needs to find the area of the table, the equation for the area of a circle is [tex]A=\pi r^{2}[/tex]

The question gives the length from one edge of the table to the other, this can also be defined as the diameter, the diameter is equal to double the raidus so dividing the diameter in half gives the radius.  The radius of this table is calculated to be 1.5 ft.

Plugging in our radius to the area equation we get [tex]A=\pi 1.5^{2}= 7.07ft^{2}[/tex] or [tex]2.25\pi[/tex]

20 POINTS ALL FOR YOU IF YOU ANSWER IT

Answers

Answer:

look i don't have a paper,but

(3x+10)+(2x+20)=180from here you can do the math and get the X

Answer:

x=30

angle ABC=100

angle DBC=80

Find two positive numbers whose product is 192 and their sum is a minimum.

Answers

Answer:

Since we want a positive number, x = 24.  y = 192/x = 8

Step-by-step explanation:

Let x and y be the two positive numbers.

-  Their product is 192: x*y = 192

-  the sum of the first plus 3 times the second is a minimum:  x + 3y

From the first equation, y = 192/x.  Substitute that into the second equation:

x + 3y = x + 3(192/x) = x + 576/x

Now take the first derivative, set it to zero, and solve for x:

d(x + 576/x)/dx = 1 - 576/x2

0 = 1 - 576/x2

0 = x2 - 576                         [Multiplied both sides by x2]

576 = x2

√576 = √x2

±24 = x

Since we want a positive number, x = 24.  y = 192/x = 8

As a check, the factors of 192 are 192*1, 96*2, 48*4, 24*8, 16*12

192 + 3*1 = 195

96 + 3*2 = 102

48 + 3*4 = 60

24 + 3*8 = 48

16 + 3*12 = 52

24 + 3*8 is indeed the minimum

What is the smallest positive integer n such that n! ends in at least 2019 zeros?​

Answers

Answer:

I think there's 502

Step-by-step explanation:

if this is a olunomical question that should be it I believe, because you have to write in standered form then when it equals zero, then factor it

For the given equation, find the value of M when x=3. 2x+m=7

Answers

[tex]m = 1[/tex]

Step-by-step explanation:

[tex]2x + m = 7[/tex]

insert x=3 into the equation

[tex]2(3) + m = 7[/tex]

multiply

[tex]6 + m = 7[/tex]

subtract 6 on both sides

[tex]6 - 6 + m = 7 - 6[/tex]

[tex]m = 7 - 6[/tex]

simplify

[tex]m = 1[/tex]

The sets J and E are given below.
J= {2, 3, 4, 8)
E={0,1,3,7)
Find the intersection of J and E.
Find the union of J and E.

Answers

Answer:

See below

Step-by-step explanation:

Intersection is the elements that are in both sets :  {3}

Union adds them together  { 0 1 2 3 4 7 8 }

Write an equation of the line in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

Y-intercept is -2.

Using slope formula, 2-(-2)/2-0 = 4/2 = 2 = slope.

Plugging into slope-intercept form:

y=mx+b => y=2x-2

Find the surface area of the Cylinder, will mark BRAINLIEST if correct

Answers

Answer:

About 1885 sq. ft

Step-by-step explanation:

[tex]v = \pi \: (10)^{2} (6) [/tex]

Since the radius is 10ft and the height of the cylinder is 6 ft you substitute that into the formula and you receive 1884.96.

the width of a rectangle is a third as long as the length. If the primeter is 24 inches, what is the area of the rectangle?

Answers

Answer:

108 inches

Step-by-step explaination:
Looking at the picture I drew, we can assume that 24 = 4x
and so x=6 and 3x=18.
6 times 18 is 108.

integrate the following by parts |x^2 e^2x dx​

Answers

Answer:

The answer is shown in the picture. you basically have to do integration by parts 2 times to get final answer.

A VIAL OF PIPERACILLIAN 4 G IS RECONSTITUTED WITH 2 Ml OF NORMAL SALINE TO YEILD 2g/mL. What is the concentration of the medication if the patient is to receive 1 mL OF THE MEDICATION? A.1.0g B. 1.5g C. 2.0g D. 2.5g

Answers

Answer:

2 gm

Step-by-step explanation:

2 gm / ml  *  1 ml   = 2 gm

PLEASE HELP ILL GIVE FIVE STARS AND GIVE BRAINLIEST
Ray is x years old. His brother Ron is y years older than Ray.
How old will Ron be in 2 years?

Answers

Answer:

Ray is  x years old.

Ron is x+y  years old.

In 2 years, Ron will be two years older than now, so  x+y+2 years old.

Step-by-step explanation:

Enjoy!

Answer:

Ray is x  years old.

Ron is x + y years old.

In 2 years, Ron will be two years older than now, so 

x + y + 2 years old.

Since their ages are variables, you should only have 1 clear digit which is 2. Due to the information given

i don't understand the calculation of learning rate , how it came 75%

Answers

Answer:

Increase the learning rate after each mini-batch by multiplying it by a small constant.

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