You have 100 feet of fencing to build a circular sheet pen. what is the diameter of the largest pen you can build?

Answers

Answer 1

Answer:

The diameter of the largest pen you could build is [tex]\frac{100}{\pi }[/tex] or [tex]31.8309[/tex] ft

Step-by-step explanation:

As the equation for the circumference of a circle is

[tex]C=d\pi[/tex]

We can plug in the known value for C, which is 100 and solve for d

[tex]100=d\pi[/tex]

[tex]d=\frac{100}{\pi }[/tex]

Answer 2

ANSWER

The diameter of the largest pen you can build is 31.8 feet to the nearest tenth.

EXPLANATION

You have 100 feet of fencing to build a circular sheet pen.

The largest diameter you can get is when you use all the 100 feet of fencing to build the sheet pen.

The circumference of the circular sheet pen must then be 100 feet.

Then using the formula for circumference, we have:

C=πd

100=πd

[tex]d = \frac{100}{\pi} [/tex]

d=31.83 ft.


Related Questions

find the midpoint of the segment with the given endpoints K(-2,-4) and L(-4,6)

Answers

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ K(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad L(\stackrel{x_2}{-4}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{-4-2}{2}~~,~~\cfrac{6-4}{2} \right)\implies \left( \cfrac{-6}{2}~~,~~\cfrac{2}{2} \right)\implies (-3~,~1)[/tex]

the answer is...... (-3,1)

PLEASE HELP ASAP

whoever answers correctly first i will give 5 star thanks and brilliantest

Answers

ADC = 60

4x + 2x = 180

6x = 180

180/6 = 30

X= 30

2(30) = 60

Answer:

∠ADC = 60°

Step-by-step explanation:

BDC is a straight angle, thus

∠BDA + ∠ADC = 180 ← substitute in values

4x + 2x = 180

6x = 180 ( divide both sides by 6 )

x = 30

Hence

∠ADC = 2x = 2 × 30 = 60°

What is number 1-7
Please help.

Answers

Answer:

6 is a number 1-7

Step-by-step explanation:

which graph represents y=square root of x

Answers

Answer: b on edge 2020

Step-by-step explanation:

PLEASE HURRY!!! Need the answer ASAP!!!

Answers

For this case we have by definition, that the equation of the line of the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cutoff point with the y axis

They tell us as data that:

[tex]m = 4\\b = 1[/tex]

So the equation is:

[tex]y = 4x + 1[/tex]

ANswer:

[tex]y = 4x + 1[/tex]

The equation is y=4x+1 because it’s a linear and the slope is attached to x always.hope this helps.please mark brainliest

Help please!

What is the most appropriate conclusion about the new drug to draw from this information?

Answers

Answer:

The new drug appears to reduce insomnia since the re-randomized mean differences are close to the mean difference found between the two groups studied.

Step-by-step explanation:

The group given the new drug reported an average of 3.3 nights they suffered insomnia a month. Therefore the mean of this group is 3.3.

On the other hand, the control group receiving the placebo reported an average of 9.5 nights they suffered insomnia a month. Therefore, the mean of this control group is 9.5.

The population mean difference between these two groups is thus;

9.5 - 3.3 = 6.2

This difference is very significant inferring that the new drug appears to reduce insomnia. Nevertheless, this mean difference is considerably close to the difference of the means from re randomization. Therefore we can conclude that,

The new drug appears to reduce insomnia since the re-randomized mean differences are close to the mean difference found between the two groups studied.

It is hard to calculate the volume of a mountain but several estimates put the volume of Mount Everest at around 2,413 cubic kilometers. The Dallas Cowboys Stadium (currently the largest football stadium in the U.S.) has a volume of 140 million cubic feet. How many Cowboy stadiums could fit inside of Mount Everest?

Answers

Answer:

About 609,000 Cowboy stadiums could fit inside of Mount Everest

Step-by-step explanation:

we have

The estimate volume of Mount Everest is at around [tex]2,413\ km^{3}[/tex]

The Dallas Cowboys Stadium has a volume of [tex]140,000,000\ ft^{3}[/tex]

step 1

Convert ft³ to km³

we know that

1 km=3,280.84 ft

so

[tex]140,000,000\ ft^{3}=140,000,000*(1/3,280.84)^{3}=0.003964\ km^{3}[/tex]

step 2

To find how many Cowboy stadiums could fit inside of Mount Everest, divide the volume of Mount Everest by the volume of the Dallas Cowboys Stadium

[tex]2,413/0.003964=608,729[/tex]

Round to the nearest Thousands

[tex]608,729=609,000[/tex]

The volume of Mount Everest is about 609,000 times greater than the volume of the Dallas Cowboys Stadium

Final answer:

Approximately 608,570 Dallas Cowboys Stadiums could fit inside the volume of Mount Everest.

Explanation:

To answer this question, we first need to convert the volume of Mount Everest and Dallas Cowboys Stadium to the same units. Given that 1 cubic kilometer (km³) is equal to approximately 35.31 billion cubic feet (ft³), so the volume of Mount Everest is approximately 2,413 km³ * 35.31 billion ft³/km³ = 85.199 trillion ft³.

The volume of the Dallas Cowboys Stadium is 140 million ft³. Now, we can find out how many Cowboy stadiums could fit inside of Mount Everest by dividing the volume of Mount Everest by the volume of the stadium.

Mount Everest volume / Dallas Cowboys Stadium volume = 85.199 trillion ft³ / 140 million ft³ = approximately 608,570 Dallas Cowboys Stadiums.

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Answer please show steps please

Answers

Answer:

25 girls

Step-by-step explanation:

Let

x denote number of boys

and

y denote number of girls

According to the statement that total 45 people came,

x+y = 45      => Eqn 1

And total paid amount was 175

So,

5x + 3y = 175    => Eqn 2

For solving, We will use the substitution method

So, from eqn 1

x = 45-y

Putting value of x in eqn 2

5(45-y) +3y = 175

225 - 5y + 3y = 175

-2y+225 = 175

-2y = 175-225

-2y = -50

2y = 50

y = 25

Putting y =25 in eqn 1

x+25 = 45

x = 45 - 25

x = 20

As y= 25

So, 25 girls came to the dance ..

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.

Edit: The answers are divide by 6, f = 8, and 8.

Answers

Answer:

f=8

Step-by-step explanation:

Given,

6f=48

f=48/6

f=8

Verification:

6*8=48 ✓

Answer:

divide by six

f=8

8

Step-by-step explanation:

i just did the assiment

Which of the following show an element of the sample space for flipping 2 coins? (H= Heads, T= Tails) Check all that apply

Answers

Answer:

All options

Step-by-step explanation:

If two coins are flipped, there are following possibilities

1. Both coins show heads

2. First coin shows heads and second shows tails

3. First coin shows tails and second shows heads

4. Both coins show tails

Let H denote heads and T denote tails

Then the sample space can be translated from the above events as:

Sample  Space for Flipping Two Coins = {HH, HT, TH, TT}

which means that all the options are correct ..

Answer:

All the options.

Step-by-step explanation:

The length of a rectangle is one unit less than three times its width. Identify the graph that represents the relationship between the area of the
rectangle, y, and the width of the rectangle,x

Answers

Answer:

Answer:

The fourth graph

Step-by-step explanation:

Let x = width

The length is one less than 3 times the width, so length = 3x - 1

So we have a rectangle with length, 3x - 1, and width, x

So the area = y = (3x-1)(x)

So our equation:

y = (3x - 1)*(x)

If we check the x-intercepts, we see that y = 0 when x = 0 and 1/3.  The only graph that has (0,0) and (1/3, 0) is the fourth graph, making that one our graph.

Step-by-step explanation:

Which points are reflections of each other across both the y-axis

Answers

Answer:

Reflect over the y-axis

Step-by-step explanation:

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).

Notice that B is 5 horizontal units to the right of the y-axis, and B' is 5 horizontal units to the left of the y-axis.

The reflection of the point (x,y) across

the y-axis is the point (-x,y).

Select the following series as finite or infinite.

5 + 10 + 15 + 20 + . . . + 5n + . . .

Finite
Infinite

Answers

Answer:

Infinite because it keeps going

ANSWER

EXPLANATION

The given series is

5 + 10 + 15 + 20 + . . . + 5n + . . .

The first term of this series 5

The constant difference is:

d=10-5=5

The +... at the end of the series means it does continue to infinity.

The series is infinite

Which equation can you use to solve for X?
O X+56 = 180
O x + 56 = 146
X + 146 = 180
O 180 - 1 = 146
56°
146°​

Answers

Answer:

I think the second option is correct.

because the unknown angle is 90.

and if replace anyone of the x with 90 the equation isn't correct except with the second option.

Step-by-step explanation:

if you want me to show you how I got 90 degree for x just tell me and I'll show you

Hope this helps

Find the area of the trapezoid.

Answers

Answer:

The area of the trapezoid is 90 cm².

I’m not sure how to solve this. Please show how you solve this problem, thank you.

Answers

Answer:

Pretend that H is the midpoint of AB, connect O and H

=> OH is the median of ΔOAB

Since we know that OA = OB => ΔOAB is an isosceles triangle

=> OH is also the height of ΔOAB

=> ∠OBA = ∠OAB = (180° - ∠AOB)/2 = (180° - 120°)/2 = 60°/2 = 30°

Now look at ΔOHB (that you create by connecting O and H)

We have:

cos30° = BH/OB

=> BH = cos30° · OB = √3/2 · x = (√3 x)/2

Because we have H as the midpoint of AB, we know that:

AB = 2 · BH = 2 · (√3 x)/2 = √3 x

So the answer is B

a dealer gains the selling price of 10 radio sets by selling 6 sets. what is his profit percentage​

Answers

60% 60% 60% 60% 60% 60% 60% 60% 60%

what is 5/8 + 3/4 divided by -2 /3 - 5/6​

Answers

[tex]\text{Hey there!}[/tex]

[tex]\frac{5}{4}+\frac{3}{4}\div-\frac{2}{3}\ -\ \frac{5}{6}[/tex]

[tex]\frac{5}{8} +\frac{3}{4}=\frac{11}{8}[/tex]

[tex]\frac{-2}{3}-\frac{5}{6}=\frac{-3}{2}[/tex]

[tex]\text{Problem becomes:}\frac{11}{8}\div\frac{-3}{2}[/tex]

[tex]\frac{11}{8}\div\frac{-3}{2}=\frac{-11}{12}[/tex]

[tex]\boxed{\boxed{\bf{Answer:\frac{-11}{12}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog \frac{3}-{5} milligram of the medicine, which equation relates the weight, w, and the dosage, d?

Answers

Answer:

[tex]d = \frac{1}{50} k[/tex]

Step-by-step explanation:

Let

w be the weight of the dog

and

d be the dosage given to the dog

As both of them are directly proportional

d ∝ w

Whenever the proportion symbol is removed from proportion, a proportionality constant is introduced.

So,

d = kw      Eqn 1

As we are given the values of d and w, putting the values

3/5 = 30k

[tex]\frac{3}{5*30} = k[/tex]

[tex]\frac{3}{150} = k[/tex]

So,

k = 1/50

Putting

K=1/50 in Eqn 1

[tex]d = \frac{1}{50} k[/tex]

So d = 1/50 * k relates dosage and weight ..

Final answer:

The equation relating the weight, w, and the dosage, d, is d = (1/50) * w.

Explanation:

The relationship between the weight of a dog and the dosage of a certain medicine is said to be directly proportional. This means that as the weight of the dog increases, the dosage of the medicine also increases. To find the equation relating the weight, w, and the dosage, d, we can use the given information:

For a 30-pound dog, the veterinarian gives 3/5 milligram of the medicine.

We can use this information to set up the equation:

weight of dog (w) = 30 pounds

dosage of medicine (d) = 3/5 milligrams

Hence, the equation relating the weight (w) and the dosage (d) is d = k * w.

Here, k represents the constant of variation or the proportionality constant. To find the specific value of k, we can substitute the given values into the equation:

3/5 = k * 30

Solving for k:

k = (3/5) ÷ 30

Simplifying the fraction:

k = (3/5) * (1/30)

k = 1/50

Therefore, the equation relating the weight, w, and the dosage, d, is d = (1/50) * w.

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PLEASE HELP! Thank you :)

Answers

Answer:

64.

Step-by-step explanation:

That would be 32% of 200.

= 32 *200 / 100

= 32 * 2

= 64 (answer).

Answer:

64

Step-by-step explanation:

From the pie chart 32% preferred tea.

Calculate 32% of 200

32% = [tex]\frac{32}{100}[/tex] = 0.32, hence

number preferring tea = 0.32 × 200 = 64

How do I plot a decimal on a coordinate plane?

Answers

Answer:

To plot a decimal on a coordinate plane you plot it between the two whole numbers its close to.

Step-by-step explanation:

Side AB of triangle ABC lies on line k. The equation of line k is y = -2/5x + 8. The coordinates of C are (-10, 15)

True or false

Answers

Answer:

True

Step-by-step explanation:

Kylie has $70 to spend on clothes. She wants to buy a pair of jeans for $30 and spend the rest on t-shirts. Each t-shirt costs $8. Which inequality represents the number of t-shirts she can purchase?

Answers

Answer:

x<5 (x=# of shirts) or 8x < 70-30

Step-by-step explanation:

she has $40 left for shirts, 40/8 = 5. 5 is the maximum shirts she can buy.

Answer:

The answer is x [tex]\leq[/tex] 5

Step-by-step explanation:

How many liters are 21 cups 1 L=4.2 cups 21 cups=

Answers

Answer:5 cups

Step-by-step explanation:

21 cups divided by 4.2 is

5L are needed in 21 cups.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

1 L= 4.2 Cups

and, for 21 cups =  21/4.2

                          = 210/42

                          = 5 L

Hence, 5L are needed in 21 cups.

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On the 25th of the month, a store reduces the regular price of all televisions by $25. If y is the sale price and x is the regular price, which of the following models this situation? Select all that apply.

Answers

Answer:

2 and 3

Step-by-step explanation:

You have to subtract 25 from x.

Answer:

B and C

Step-by-step explanation:

Evaluate.

15 + 102 • [12 – (12 – 3 • 2)] + 6

Answers

Answer:

633

Step-by-step explanation:

We have the equation

[tex]15+102[12-(12-3*2)]+6\\\\15+102[12-(12-6)]+6\\\\15+102[12-(6)]+6\\\\15+102[6]+6\\\\15+612+6\\\\633[/tex]

Answer:

Step-by-step explanation:

Multiply the numbers:

15 + 102 • [12 – (12 – 3 • 2)] + 6

15 + 102 [(12-(12-6)] +6

Then Subtract the numbers:

15 + 102 x 6 + 6

Then Multiply the Numbers:

15 + 612 + 6

Then Calculate the sum:

633

Answer: 15 + 102 • [12 – (12 – 3 • 2)] + 6 = 633

Solve the Equation
-6x-4y=21
-6x+3y=0

Answers

Answer:

[tex]\large\boxed{x=-\dfrac{3}{2},\ y=-3\to\left(-\dfrac{3}{2},\ -3\right)}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}-6x-4y=21\\-6x+3y=0&\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-6x-4y=21\\6x-3y=0\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-7y=21\qquad\text{divide both sides by (-7)}\\.\qquad\boxed{y=-3}\\\\\text{Put the value of}\ y\ \text{to the second equation}\ 6x-3y=0:\\\\6x-3(-3)=0\\6x+9=0\qquad\text{subtract 9 from both sides}\\6x=-9\qquad\text{divide both sides by 6}\\x=-\dfrac{9:3}{6:3}\\\boxed{x=-\dfrac{3}{2}}[/tex]

What is the solution set of the following equation? 4/5 x2 = 2x - 4/5

Answers

Answer:

[tex]x=\frac{1}{2}[/tex] or [tex]x=2[/tex]

Step-by-step explanation:

The given quadratic equation is:

[tex]\frac{4}{5}x^2=2x-\frac{4}{5}[/tex]

We multiply through by 5 to get:

[tex]4x^2=10x-4[/tex]

Rewrite in standard quadratic form;

[tex]4x^2-10x+4=0[/tex]

Or

[tex]2x^2-5x+2=0[/tex]

Split the middle term to get:

[tex]2x^2-4x-x+2=0[/tex]

Factor to get:

[tex]2x(x-2)-1(x-2)=0[/tex]

Factor further to get:

[tex](2x-1)(x-2)=0[/tex]

Either [tex](2x-1)=0[/tex] or [tex](x-2)=0[/tex]

Either [tex]x=\frac{1}{2}[/tex] or [tex]x=2[/tex]

3g2 – 7g + 2
Factor each polynomial

Answers

Answer:

[tex]3g^{2} -7g+2\\=(3g-1)(g-2)[/tex]

The graph below shows the solution to a system of inequalities:

Solid line joining ordered pairs 0, 3.75 and 15, 0. Shade the portion of the graph above the line in the first and second quadrant

Which of the following inequalities is modeled by the graph? (5 points)

Select one:
a. x + 4y ≥ 15; y ≥ 0
b. x − 4y ≥ 15; y ≥ 0
c. x + 4y ≤ 15; y ≥ 0
d. −x − 4y ≥ 15; y ≥ 0

Answers

B. X-4y > 15;y>0 this is the correct answer

Answer:. x + 4y ≤ 15; y ≥ 0

Step-by-step explanation:

Put it in desmos graphing

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