A dairy farmer plans to enclose a rectangular pasture (of length x and width y) adjacent to a river to provide enough grass for the herd, the farmer has 240m of fencing material. No fencing is required along the river. What should be the dimensions of the pasture that will provide the maximum area of pasture?

explain with steps. Tnx​

Answers

Answer 1

Answer:

Step-by-step explanation:

The amount of fencing provided is 240 meters, and it only needs to cover 3 sides, as one side is the river and does not need to be fenced. 240/3 is 80, which is the length and width of the pasture. 80 is the length and width because squares have a larger area than rectangles if the perimeter is the same.

In conclusion, the pasture is a square with side length of 80. The dimensions of the pasture are 80x80

Hope this helped :)


Related Questions

What is the area of the shaded region?
A. 16π
B. 8π
C. 4π
D. 2π

Answers

Step-by-step explanation:

the area of a full circle (360°) is

pi×r² = pi×5² = pi×25

a 40° segment is then just 40/360 = 1/9 of the full circle.

so,

pi×r²×1/9 = pi×25/9 = pi×2.777777777...

so, either there is a mistake in the problem description, or your teacher wants you to cut off the decimals (after the decimal point), in which case D would be the right answer.

since our radius is 5, that makes r² always 25.

there are no integer factors I can divide 25 by to create any of the 4 solutions of 16 or I or 4 or 2.

and there is no integer factor I can divide 360 by to get 25.

so, something is wrong here regarding the problem description. either the radius or the angle or the solution options are wrong and not fitting to each other.

What is the area of the following figure?
17.6 mm

Answers

Step-by-step explanation:

Area = (17.6)²mm²

=309.76 mm²

You drop a stick from a height of 64 feet. At the same time, your friend
drops a stick from a height of 144 feet.
a. After how many seconds does your stick hit the ground?
b. How many seconds later does your friend's stick hit the ground?

Answers

Using a quadratic function, it is found that:

a) It hits the ground after 2 seconds.

b) Your friend's stick hits the ground 0.83 seconds later.

What is the quadratic function for the projectile's height?

It is given by:

[tex]s(t) = -16t^2 + v(0)t + h(0)[/tex]

In which:

v(0) is the initial velocity.h(0) is the initial height.

Item a:

Dropped at rest from a height of 64 feet, hence v(0) = 0, h(0) = 64, so the equation is:

[tex]s(t) = -16t^2 + 64[/tex]

It hits the ground when s(t) = 0, hence:

-16t^2 + 64 = 0

t^2 = 4

t = 2.

It hits the ground after 2 seconds.

Item b:

For your friend, we have that h(0) = 144, hence:

-16t^2 + 144 = 0

t^2 = 8.

t = 2.83.

2.83 - 2 = 0.83.

Your friend's stick hits the ground 0.83 seconds later.

More can be learned about quadratic functions at https://brainly.com/question/24737967

What is the value of angle h? How do you know (what type of angle pairs are they)?

Answers

Answer:

can you provide an image?

Step-by-step explanation:

Graph the line with the equation y=1/2x+5



Answers

Here it is

.,.,.,.,..,.,.,.

82% of £134.18
Give your answer rounded to 2 DP

Answers

82 = 0.82 = multiplier

134.18 x 0.82 = 110.0276

= £110.03 (2.d.p)

A large box of strawberris vaires in price.the cost of a box is never graeater than or equal to 10$ the lowest price ever reached for the box of strawberries is 5$. write an inquality to show all the possible prices (P) for a box of strawberries

Answers

Answer:

10 > P ≥ 5

Step-by-step explanation:

inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions

sine the price can't be greater than or equal to 10$ we set it up 10 is greater than P ( 10 > P )

sine the lowest price ever was 5$ then we know P can't be any lower than 5$ but can still be 5$ so we set up as P is greater than or equal to 5 ( P ≥ 5 )

then to get your answer you just but the two comparisons together ( 10 > P ≥ 5 )

How can you use tables, graphs, and equations to compare functions in everyday life?

Answers

You can use them in real life by keeping notes if things like a graph if you are presenting something to your boss like how the business has grown a table to separate things and equations to help you know how to much you’ll need to pay the cashier without overpaying

4,3,9/4,27/16
what is the 10th term of the sequence

Answers

Answer:

This is a sequence, so we have to move forward step by step

Step-by-step explanation:

4,3,9/4,27/16

Because this sequence has no exponential arithmetic or geometry, we perform the sequence with the help of a matrix

[tex]y = y[/tex]

[tex]x = x[/tex]

[tex]x = 4.4.4.4.4[/tex]

[tex]x = 4[/tex]

Matrix determinants allowed us to achieve both geometric and arithmetic progression by sequence guidance

The answer is

[tex]x \times y = 144 = 614.88[/tex]

Best answer gets brainliest

Answers

Answer:

The answer is 30.

Step-by-step explanation:

12+12+6= 30

I got 6 because it shows a semi circle, and half of 12 is 6.

Answer:

30

Step-by-step explanation:

one circle = 12

two circle = 12 × 2 = 24

half circle = 12/2 = 6

so

two circle + half circle = 24 + 6 = 30

I need this plss
(will give brainliest)

Answers

Answer:

-2, 3

Step-by-step explanation:


only 4 b and c please

Answers

Answer:

a) 2L + 2W = 42

b) L = 2W + 3

c) The system is :

2L + 2W = 42

L - 2W = 3

( add the two equations )

3L + (2w - 2w) = 45

3L = 45

L = 45/3

L = 15 ( Length )

L - 2W = 3

15 - 2W = 3

2W = 15 - 3

W = 12/2

W = 6

There were 6 biscuits in each box. how many biscuits are there in 7 boxes?

Answers

There was 42 biscuits in the boxes

42 biscuits or 6 times 7 :]

asey wants to buy some instruments for his niece and nephew. He has $40 to spend. Based on the prices listed below, what is the estimated total, rounded to the nearest dollar? Which explains why he can afford the tambourine and xylophone?

Tambourine: $13.95Xylophone $23.50

The estimated total to the nearest dollar is $38, so he can afford them.
The estimated total to the nearest dollar is $37, so he can afford them.
The estimated total to the nearest dollar is $36, so he can afford them.
The estimated total to the nearest dollar is $37.45, so he can afford them.

Answers

Answer:

I would pick a, the estimated total to the nearest dollar is 38

Step-by-step explanation:

13.95 rounded is 14

23.50 rounded is 24

24+14=38

A right triangle has a leg of 17 cm and a hypotenuse of 25 cm. What is the length of the other leg? Round to the nearest tenth.

Answers

Answer:

18.3

Step-by-step explanation:

Pythagorean Theorem = a^2 + b^2 = c^2

a, b = legs

c = hypotenuse

17^2 + b^2 = 25^2

b = 18.3

Say that australia has a working population of 11,565,470 people, and that the average salary is $26,450 annually. how much tax revenue would australia generate each year by instituting a 31.4% income tax? a. $81,528,467,671 b. $90,224,333,274 c. $96,054,697,991 d. $209,851,983,509

Answers

Answer:$96,054,697,990 ”C”

Step-by-step explanation: Calculating the amount taxed from each person in the working population:31.4% × 26450 = $8305.30 per personThe amount of tax collected from the whole population:8305.30 × 11565470 = $96,054,697,990 ⇒ This is the annual tax revenue

The income tax collection by the total population of australia will be $96,054,697,990

What is income tax?

Some amount of our income is charged by the government this amount is called as income tax.

Calculating the amount taxed from each person in the working population:

31.4% × 26450 = $8305.30 per person

The amount of tax collected from the whole population:

8305.30 × 11565470 = $96,054,697,990  

The annual tax revenue will be equal to $96,054,697,990  

To know more about income tax follow

https://brainly.com/question/25783927

3x+4y=36
Y=-1/2+8
How do I solve this?

Answers

Answer:

x = 2

Step-by-step explanation:

3x+4y=36

Y=-1/2+8

Now we substitute y with -1/2+8.

3x + 4(-1/2+8) = 36

3x + 4(7.5) = 36

3x + 30 = 36

3x = 6

x = 2

Have an amazing day!!

Please rate and mark brainliest!

Which statements are true for the following expression?
(9 + 1) · 5

Answers

Answer:

50

Step-by-step explanation:

add

9 + 1 = 10

multiply

10 * 5 = 50

Answer: 50

The cylinder shown has a volume of 733 cubic inches.
a. What is the radius of the​ cylinder?

The radius of the cylinder is ?

(Round to the nearest tenth if needed)

Answers

Answer:

Your answer is 4.72

Use the formula:V=πr2h

please help QUICK I WILL GIVE YOU BRAINLIST

Answers

Answer:

P = 59°

Step-by-step explanation:

What steps are used to solve this equation?

6f = 48

Complete each statement.

First,
on both sides of the equation.
Next, simplify the equation to determine that the solution of the equation is
.
Check the solution by substituting
for f and simplifying.

Answers

Answer:

F=8

Step-by-step explanation:

6f=48

Divide each side by 6

f=8

Substiuite

8x6=48??

Yes

Step-by-step explanation:

Simplifying 6f = 48 Solving 6f = 48 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '6'. f = 8 Simplifying f = 8

Jean listed the steps involved in the life cycle of a gymnosperm. 1 - The pollen gets stuck in a sticky liquid. 2 - Sperm from the pollen fertilize the egg in the ovule. 3 - The ovule develops into a seed. 4 - When mature, the seeds are dispersed. Which step is missing? Before step 3, the ovule develops cones. Just after step 3, the ovule develops cones. Before step 1, wind carries pollen from the male to the female cones. Just after step 1, wind carries pollen from the male to the female cones

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Just after step 3, the ovule develops cones.

Determine if there was a percent increase or decrease in the number of trench coats sold, and by how much. (Round your answer to the nearest tenth. ) a. The percentage of trench coats sold decreased by 0. 8%. B. The percentage of trench coats sold increased by 0. 8%. C. The percentage of trench coats sold decreased by 23. 3%. D. The percentage of trench coats sold increased by 23. 3%.

Answers

The percentage of trench coats sold increased by 23. 3%. therefore, option D is correct.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

First, we need to subtract the final from the initial, then divide the difference by the initial, then multiply your answer by 100 to get the percentage

the final is 127, and the initial is 103

127 - 103 = 24

24/103 = 0.233

0.233 x 100

= 23.3%

Thus, The percentage of trench coats sold increased by 23. 3%.

Learn more about percentages;

https://brainly.com/question/13450942

Amy rolls a 12 sided die numbered from one to twelve.
what is the probability amy rolls a multiple of 4 written
as a percent?

Answers

To find the probability, we'll need to find the number of possibilities with an outcome that we want, as well as the total number of outcomes.

Multiples of 4: 4, 8, 12

---There are 3 possibilities

Total outcomes: 12

3 / 12 = 1/4 = 0.25 = 25%

Probability Amy rolls a multiple of 4 = 25%

Hope this helps!

A ball is thrown from a height of 44 meters with an initial downward velocity of 6 m/s . The ball's height h (in meters) after t seconds is given by the following.
h= 44 - 6t - 5t squared 2
How long after the ball is thrown does it hit the ground?
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

Answers

Answer:

Step-by-step explanation:

h = -5t^2 - 6t + 44

I'll assume 0 meters is the ground height.  That would mean we want to know the time, t, for h to be = 0 meters:

h = -5t^2 - 6t + 44

0 = -5t^2 - 6t + 44

5t^2 + 6t -44 = 0

Solve using the quadratic equation:  2.43 and - 3.63 seconds.  We'll use the positive value:  2.43 seconds for the ball to reach the ground.  Save the -3.63 value for the Klingons.  

We can also solve by graphing the function, as per the attached image.  Note that the starting time of 0 seconds, the ball is at 44 feet.  It reaches the x axis at 2.43 seconds (where x = 0, the ground).

Answer:

t = 2.43 s (nearest hundredth)

Step-by-step explanation:

Given equation: [tex]h=44-6t-5t^2[/tex]

where:

h = height (in meters)t = time (in seconds)

When the ball hits the ground, h = 0

[tex]\implies 44-6t-5t^2=0[/tex]

[tex]\implies 5t^2+6t-44=0[/tex]

Using the quadratic formula when [tex]ax^2+bx+c=0[/tex] and where:

a = 5b = 6c = -44x = t

[tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

  [tex]=\dfrac{-(6)\pm\sqrt{(6)^2-4(5)(-44)}}{2(5)}[/tex]

  [tex]=\dfrac{-6\pm\sqrt{916}}{10}[/tex]

  [tex]=\dfrac{-6\pm2\sqrt{229}}{10}[/tex]

  [tex]=\dfrac{-3\pm\sqrt{229}}{5}[/tex]

  [tex]=2.43, -3.63 \ \textsf{(nearest hundredth)}[/tex]

As time is positive, t = 2.43 s (nearest hundredth)

3x + 10 is greater than or equal to 30

Answers

Answer:

x∈[20/3;+∝).

Step-by-step explanation:

3x+10≥30; ⇔ 3x≥20; ⇔ x≥20/3

Please help me ASAP!!!!!!!!!!

Answers

Step-by-step explanation:

G(-5,4)==========G'(5,4)

Hello!

If we reflect a point over the y-axis, then we change the sign on the x-coordinate of the point.

If we have a point (1, 2) and we reflect it over the y-axis, we now have a point (-1, 2)

So the point's y-coordinate hasn't changed.

Here we have a point

(-5, 4)

Its x-coordinate is -5. Change its sign:

(5, 4)

Remember, the x-axis is horizontal, and the y-axis is vertical.

I can't graph the point, but I can give you some tips.

Hope everything is clear.

Let me know if you have any questions!

#KeepOnLearning

:-)

PointM is the midpoint of AB. if the coordinates of A are (6,-4) and the coordinates of M are (4,2), what are the coordinates of B?

Answers

Ok here is the fastest way to do this:

Since M is the midpoint of AB, and the x-value of M is smaller than A, this means that M is to the left of A.

Subtract x-value of M from x-value of A: 6 - 4 = 2

We know that B is also to the left of M. So you subtract 2 from the x-value of M: 4 - 2 = 2

Notice that of the choices below, only one answer has the x-value of 2.

B

Need some help with trinomial​

Answers

Answer:

(x - 6)(x + 2)

Step-by-step explanation:

assuming you require the trinomial to be factorised.

x² - 4x - 12

consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (- 4)

the factors are - 6 and + 2 , since

- 6 × 2 = - 12 and - 6 + 2 = - 4 , then

x² - 4x - 12 = (x - 6)(x + 2)

Help me please I’m struggling with this subject :/

Answers

Answer:

I believe the answer is 135 square feet.

Step-by-step explanation:

so 10x12=120. 10x3=30 and you divide the triangle by 2 so 30/2=15. 120+15=135

well, we don't know the cost of the carpet, however hmmm we know the cost of the carpet is 4 bucks per ft², which means we need to know how many ft² the Randall family is going to use in the first place hmmmm, Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=12\\ b=15\\ h=10 \end{cases}\implies \begin{array}{llll} A=\cfrac{10(12+15)}{2} \\\\\\ A=\cfrac{10(27)}{2}\implies A=135~ft^2 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{per~ft^2}{(4)}~~\stackrel{area~in~ft^2}{(135)}\implies \stackrel{\$}{540}\impliedby \textit{total cost}[/tex]

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