find the circumference of the circle with 1/4 Pi square centimetre square 2

Answers

Answer 1

Answer:

The circumference of the circle is 6 cm (approximately).

Step-by-step explanation:

Given:

Area of the circle = 1/4π²

Now, to get the circumference of the circle we need the radius.

So, finding the radius by putting the formula of area:

Area = [tex] \pi r^{2}[/tex]

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

dividing π by both sides:

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

using square root on both the sides:

[tex]\frac{1}{2}\sqrt{\pi } = r[/tex]

So, the radius is [tex]\frac{1}{2}\sqrt{\pi } [/tex]

Now, putting the formula of circumference:

[tex]circumference=2\pi r[/tex]

                              =[tex]2\pi\frac{1}{2} \sqrt{\pi}[/tex]

                              =[tex]\pi \sqrt{\pi}[/tex]

putting the value of π =3.14

                              =[tex]3.14\times\sqrt{3.14}[/tex]

                              =[tex]3.14\times1.77[/tex]

                              =[tex]5.56[/tex]

Circumference = 5.56 cm

Therefore, the circumference of the circle is 6 cm (approximately).


Related Questions

Please help me with this problem! I don't understand!

Determine the equation of a line perpendicular to -6x+9y-12=0 with the same y-intercept as the line defined by -8x+2y-6=0

Answers

Answer:

y = -3/2 x + 3

Step-by-step explanation:

If two lines' slopes multiply to get -1, they are perpendicular to each other.

In -6x+9y-12=0, find the slope by converting to slope-intercept form.

Isolate y:

-6x+9y-12=0

-6x+9y = 12

9y = 6x + 12

y = 6/9 x + 12/9

y = 2/3 x + 4/3

The slope in this line is 2/3.

To find the slope of a perpendicular line, find its negative reciprocal. The negative reciprocal is when you switch the top and bottoms numbers and multiply it by -1.

2/3 => -3/2

The slope of the perpendicular line is -3/2.

In -8x+2y-6=0, find the y-intercept by converting to slope-intercept form.

Isolate y:

-8x+2y-6=0

-8x + 2y = 6

2y = 8x + 6

y = 8/4 x + 6/2

y = 2x + 3

Slope-intercept form is y = mx + b, which b is the y-intercept.

The y-intercept is 3.

Substitute the slope and y-intercept values into the equation of a line in  slope-intercept form.

y = mx + b

y = -3/2 x + 3

Solve the equation.
-3(y – 5) = 24
CHECK

Answers

Answer:

y=3 is the answer to this

Answer:

-3

Step-by-step explanation:

least to greatest -4.3, -82.5, -41 4/5, -13 1/8

Answers

-82.5, -41 4/5, -13 1/8, -4.3

Final answer:

To arrange the numbers from least to greatest, you order them based on their value on the number line, with larger negative values representing smaller quantities. The numbers from least to greatest are -82.5, -41 4/5, -13 1/8, and -4.3.

Explanation:

To arrange the numbers -4.3, -82.5, -41 4/5 (which is -41.8), and -13 1/8 (which is -13.125) from least to greatest, we must compare their values on the number line. Larger negative numbers are those with the greater absolute value or those that are farther from zero in the negative direction.

Focusing on the given numbers:

-82.5 is the largest negative number, so it is the least.

-41 4/5 (or -41.8) is next, being less negative than -82.5.

-13 1/8 (or -13.125) is less negative than both -82.5 and -41.8.

-4.3 is the smallest negative number, so it is the greatest of the negatives.

Therefore, when ordered from least to greatest, the numbers are:

-82.5

-41 4/5

-13 1/8

-4.3

The area of a square is a function of its perimeter. Graph the function on a separate sheet of grid paper . Explain wether the function is linear and if the graph is increasing or decreasing .

How do i graph it ? and is the the function linear . Is the graph increasing or decreasing ? PLEASE HELP .

Answers

Answer:

Parabola [tex]P^{2}[/tex] = 16A

Non-linear function.

Increasing function.

Step-by-step explanation:

Let a be the side length of a square ,

Then, Perimeter of square (P) = 4a

So, a can be written as a = [tex]\frac{P}{4}[/tex]

Area of square (A) = [tex]a^{2}[/tex] .

So, A = [tex]\frac{P^{2} }{4^{2} }[/tex]

        =  [tex]\frac{P^{2} }{16 }[/tex]

[tex]P^{2}[/tex] = 16A

It is the equation of parabola. (similar to [tex]y^{2}[/tex] = 4ax)

It is a non - linear function as square of Perimeter is related to Area , not directly Perimeter.

Also, it is a increasing function since as A increases P increases.

Final answer:

The function relating the area of a square to its perimeter is a quadratic function shown by the equation A = P²/16, which is graphed as a parabola. The graph is not linear, and it illustrates that as the perimeter increases, the area increases at an accelerating rate, hence it is always increasing.

Explanation:

To graph the function that relates the area of a square to its perimeter, first understand that the area A of a square is equal to the side length squared (s²), and the perimeter P is four times the side length (4s). These relationships can help us derive the function A = f(P). Here's how you would do it:

Start by expressing the side length s in terms of P: since P = 4s, then s = P/4.Substitute s = P/4 into the area formula: A = s² = (P/4)².Simplify the equation: A = P²/16. This equation shows that the area A is a function of the perimeter P.Plot this function by choosing values for P and calculating the corresponding A. For example, if P = 4, then A = 1; if P = 8, then A = 4, and so on.Plot the points on your graph paper and connect them with a curve.

The graph of this function is not linear but a parabola opening upwards because it has the form of a quadratic equation A = P²/16. This means the graph will be an increasing curve as the perimeter increases, the area increases at an accelerating rate. It is important to note that the graph of this function is always increasing, and the rate of increase grows as the value of P increases

How do you compare fractions?

Answers

You compare fractions by first making sure the denominators are the same and then you compare them

You compare fractions by seeing the denominator is the same and then you add them or multiply them or diving them and that is how you compare fractions.

Solve -37+n=-56 for n.

Answers

Answer:

n=-19

Step-by-step explanation:

-37+n+37=-56+37

n=-19

Answer:

-37+n=-56

n= -56-(-37)

n= -19

Dylan opened a credit card account with $750.00 of available credit. Now that he has made some purchases, Dylan's account only has $412.50 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?

A. 34%
B. 55%
C. 45%
D. 82%

Answers

Answer:

C. 45%

Step-by-step explanation:

Initial credit in his account = $750.00

Credit in his account after some purchases = $412.50

⇒Decrease in credit = $750.00 - $412.50

⇒Decrease in credit = $337.5

percentage decrease of amount of available credit = [tex]\frac{decrease\ in\ credit}{initial\ credit}[/tex]×100

                                    = [tex]\frac{337.50}{750.00}[/tex]×100

                                    = [tex]\frac{9}{20}[/tex]×100

                                    = 9×5

                                    = 45%

Percentage decrease of the amount of available credit in Dylan's account is 45%

Hailey has a summer job at the water slide park. She earns $9.50 an hour as a lifeguard, but never works more than 25 hours in a week. She determines that her salary is modeled by the function s = 9.5h.

Answers

Answer:

{0 ≤ h ≤ 25}

Step-by-step explanation:

The domain of a function is the set of all values for independent variable for which the function must be defined.

Given: The amount earned by Hailey for one hour work =$9.50

She determines that her salary is modeled by the function .

Here h is the independent variable such that 's' is dependent on 'h'.

Since she never works more than 25 hours in a week.

Therefore, the maximum hours she will work = 25

Hence, the domain of this function in this situation is {0 ≤ h ≤ 25}, where h is number of hours she works.

Answer:

{0 ≤ h ≤ 25}

Step-by-step explanation:

The domain of a function is the set of all values for independent variable for which the function must be defined.

Given: The amount earned by Hailey for one hour work =$9.50

She determines that her salary is modeled by the function .

Here h is the independent variable such that 's' is dependent on 'h'.

Since she never works more than 25 hours in a week.

Therefore, the maximum hours she will work = 25

Hence, the domain of this function in this situation is {0 ≤ h ≤ 25}, where h is number of hours she works.

Write the decimal 1.0056 in word form

Answers

Answer:

one and fifty six hundred thousandths

Answer:

one and fifty-six ten-thousandths

~ or, simpler ~

one point zero zero five six

Step-by-step explanation: hope this helps :)

6 lb 4 oz − 5 lb 10 oz

Answers

Answer:

10oz

Step-by-step explanation:

1 lb = 16 oz, so

(6*16 +4)-(5*16+10)

100-90=

10 oz

First, put both into just ounces. (1lb = 16oz)

6lb 4oz = 100oz.

5lb 10oz = 90oz.

Second, subtract.

100 - 90 = 10oz.

This is the answer. Note that 1lb = 16lb, so we can't put 10oz into pounds.

______

Hence, the answer is 10oz.

______

Best Regards,

Wolfyy :)

What is the ratio of 96 to 20

Answers

Answer:

24:5

Step-by-step explanation:

Which of the following is written in correct scientific notation?


A. 809 * 104


B. 80.9 * 104


C. 80.9 * 10-4


D. 8.09 * 104

First, correct answer gets brainiest

Answers

C , only if (-4) is an exponent … 10 always has to be to a power to be considered a scientific notation in an equation

which of the following is written in correct scientific notation?

I really need help answer it correctly please please please I need help I can figured it out show your work answer it correctly please please please .

Answers

Answer:

This for a science class I am guessing

Step-by-step explanation:

8 A -3×6

9 C 12×5 - 3×6

10 A 15× 120 min

11 D 5×-50

12 A add profit subtract expenses from profit total

13 B 118- 34 then divide by 2

14 A add the two costs

There is 1 red gumdrop and 4 green gumdrops in a small jar. Also, 2 pieces of butterscotch candy and 3 pieces of cinnamon
candy are in another jar. If Craig draws one piece of candy from each jar without looking, what's the probability that he will
get a red gumdrop and a piece of butterscotch candy?

Answers

Answer:

The probability that he will get a red gumdrop and a piece of butterscotch candy is 2/25

Step-by-step explanation:

The path to find the answer is to find the probability of both things happening  and then multiply them. First, there is 1 red gumdrop and 4 green gumdrops in a jar. There are 5 gumdrops total so the probability of choosing a red one is 1/5. Next, there are 2 pieces of butterscotch candy and 3 pieces of cinnamon candy in another jar. There are 5 pieces of candy total so the probability of choosing a piece of butterscotch candy is 2/5. Finally multiply the two probabilities: 1/5 * 2/5 = 2/25.

Final answer:

The probability that Craig will draw a red gumdrop from the first jar and a butterscotch candy from the second jar is 0.08 or 8%.

Explanation:

The subject of this problem is probability. Probability refers to the measure of the likelihood that an event will occur in a random experiment. In this specific problem, Craig randomly chooses one candy from each jar. We want to find the likelihood that Craig will choose one red gumdrop and one piece of butterscotch candy.

There are a total of 5 gumdrops in the first jar, with 1 being red. Thus, the probability of choosing a red gumdrop is 1/5. In the second jar, there are a total of 5 pieces of candy, with 2 being butterscotch. As such, the probability of choosing a butterscotch candy is 2/5.

To calculate the total probability, you multiply both probabilities, getting a final probability of (1/5) * (2/5) = 2/25 = 0.08. This means that there is an 8% chance that Craig will draw a red gumdrop and a butterscotch candy.

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Keisha has a total of 90 coins all of which are either dimes or quarters the total value of the coins is $13.50 find the number of each type of coin​

Answers

1 dime and 14 quarters

PLEASE HELP ASAP!!!
Functions f(x) and g(x) are shown below:

f(x) = x2
g(x) = x2 + 8x + 16

In which direction and by how many units should f(x) be shifted to obtain g(x)?

A.Left by 4 units
B. Right by 4 units
C.Left by 8 units
D. Right by 8 units

Answers

Answer:

A. Left by 4 units

Step-by-step explanation:

ƒ(x) = x²

It has a vertex at (0, 0), and the y-axis is the axis of symmetry

g(x) = x² + 8x + 16 = (x + 4)²

You have added 4 to the value of x, so you have shifted the graph four units to the left.

Thus, to make the graphs of ƒ(x) and g(x) coincide, you should shift ƒ(x) left by 4 units.

The diagram below shows ƒ(x) in red and g(x) in green.

Mr. Kreider wants to paint two doors and several shutters. It takes 2 1/8 gallons of paint to coat each door and 1 3/5 to coat all of his shutters. If Mr. Kreider buys three 2-gallon cans of paint, does he have enough to complete the job.

Answers

Answer:

The three 2-gallon cans of paint  is enough  to complete the job.

Step-by-step explanation:

Given:

It takes 2 1/8 gallons of paint to coat each door and 1 3/5 to coat all of shutters. He had three 2-gallon cans of paint.

Now, to find that is he have enough paint to complete the job.

Total gallons of paint he buys = 3 × 2 = 6 gallons.

Then, let the quantity used change to improper fraction from mixed:

[tex]2\frac{1}{8} =\frac{17}{8}[/tex] and [tex]1\frac{3}{5}=\frac{8}{5}[/tex].

Now, we add the quantity of paints used to paint doors and shutters:

[tex]\frac{17}{8}+\frac{8}{5}[/tex]

[tex]=\frac{85+64}{40}[/tex]

[tex]=\frac{149}{40}[/tex]

Now, subtracting quantity used from the total quantity:

[tex]6-\frac{149}{40}[/tex]

[tex]=\frac{240-149}{40}[/tex]

[tex]=\frac{91}{40}[/tex]

[tex]=2\frac{11}{40}[/tex]

So, after painting the two doors and several shutters from 3 cans of 2-gallon paint still 2 11/40 quantity of paint is remaining.

Therefore, the three 2-gallon cans of paint is enough to complete the job.

Does anyone know the answer???

Answers

Answer:

3,600 m²

Step-by-step explanation:

The formula of a surface area of a sphere:

[tex]SA=4\pi R^2[/tex]

R - radius

We have R = 30m.

Substitute:

[tex]SA=4\pi(30^2)=4\pi(900)=3600\pi\ m^2[/tex]

-0.5(x + 0.3) = 1.6x +0.9(x + 4.8) please show the work!​

Answers

Answer:

Step-by-step explanation:

So basically what you want to do is start with the distributive property.

-0.5(x+0.3) = 1.6x+0.9(x+4.8) would then equal -0.5x-0.15 = 1.6x+0.9x+4.32.

Then, add the matching terms on the right side (the x values) 1.6x+0.9x =2.5x

Your equation should the look like -0.5x-0.15 = 2.5x+4.32.

Next, add -0.5x to 2.5x giving you 3x

The equation will look like -0.15 = 3x+4.32

After that subtract 4.32 from -0.15 leaving you with -4.47=3x

Divide 3x from both sides

Your answer should be x= -1.49.

I hope this was helpful and not super confusing! Also if anything is incorrect let me know! :)

If 6 workers paint 6 meters of a fence in 6 hours, how long will it take for 12 workers to paint 12 meters of the fence?

Answers

Answer:

2 days & 3 hours

Step-by-step explanation:

Answer: 6hrs

Step-by-step explanation:

Graph the line represented by the equation. y−3=−12(x+4)

Answers

Answer:

equation of the line = y=12x+45 i cant rlly graph it for you

Step-by-step explanation:

y-3 = 12 (x+4)

y-3 = 12x + 48

-3               -3

y=12x + 45

y-3=-12(x+4) graphed

Write equation of a line that is parallel to x=8 and the passes through the point ( -3, -2)

Answers

Answer:

x = - 3

Step-by-step explanation:

x = 8 is the equation of a vertical line parallel to the y- axis.

Thus a line parallel to it will also be vertical with equation

y = c

Where c is the value of the x- coordinates the line passes through

The line passes through (- 3, - 2) with x- coordinate - 3, thus

x = - 3 ← equation of parallel line

Final answer:

There is no equation of a line that is parallel to x=8 and passes through the point (-3, -2).

Explanation:

To find the equation of a line parallel to x = 8 and passing through the point (-3, -2), we need to know that a line with an equation x = a is a vertical line passing through the point (a, 0), and it has no slope. Since we need to find a line with the same slope as x = 8, we can set the equation to x = -3, which represents a vertical line passing through the point (-3, 0).

However, this line is parallel to x = 8 rather than passing through the point (-3, -2). Therefore, there is no equation of a line that is parallel to x = 8 and passes through the point (-3, -2).

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Which measure of variability can be compared using the box plots?

Answers

Box plots are useful for comparing the measure of variability in datasets. Specifically, they compare the interquartile range (IQR), which is the range covering the middle 50% of a dataset. This is represented by the box in the plot, and additional info like median and potential outliers are also shown.

In the field of statistics, box plots, also known as box and whisker plots, are useful for comparing the measure of variability in a data set. The specific measure of variability that can be compared using the box plots is called the interquartile range (IQR).

The IQR is the range within which the middle 50% of a dataset falls. It is calculated by subtracting the lower quartile (25th percentile) from the upper quartile (75th percentile). These quartiles are represented on a box plot by the edges of the box, which makes it easier to visually compare the variability of different datasets.Box plots also present additional information like median and potential outliers in the data.

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(7n + 2)(4n+8)
What is the answer?

Answers

Answer:

28 n 2 + 64 n + 16

Step-by-step explanation:

28n² + 56n + 8n + 16
= 28n² + 64n + 16

How do you solve 10n - 40

Answers

Answer:

10(n-4)

Step-by-step explanation:

10n-40=10(n-4)

If this is what you were asked to find, then that's the answer. Because 10n-40 is just an expression, it's not something you can solve for it, since it's not an equation. So I simplified this expression for you by factoring.

Please explain your answer. Thank you!

Answers

Answer:

OPTION A

Step-by-step explanation:

[tex]$ 9r + 2 = \frac{7(r - 5)}{3} $[/tex]

[tex]$ \implies 9r + 2 = \frac{7r - 35}{3} $[/tex]

Multiplying throughout by [tex]$ r $[/tex]we get:

[tex]$ 27r + 6 = 7r - 35 $[/tex]

[tex]$ \implies 20r = -41 $[/tex]

[tex]$ \therefore r = \frac{-41}{20} $[/tex]

OPTION A is the answer.

Miss Garcia is ordering pizza for students in the homework club. A large two-topping Pizza is 20% off the regular price of $15. Miss Garcia wants to know the sale price.What percent of the regular price is the sale price.

Answers

Answer:

Sale price is $12 which is 80% of the regular price.

Step-by-step explanation:

A large two-topping Pizza is 20% off the regular price of $15.

Therefore, the sale price is [tex]15(1 - \frac{20}{100} ) = 15 \times 0.8 = 12[/tex] dollars. (Answer)

Now, let us assume that x% of regular price i.e. $15 is the sale price i.e. $12.

So, [tex]\frac{15 \times x}{100} = 12[/tex]

⇒ [tex]x = \frac{12 \times 100}{15}[/tex]

x = 80%  (Answer)

Answer:

15 regular price 20% discount ? sale price and the next answer is 0.8(15) and the sale price gone be 12.

Step-by-step explanation:

I did the I-ready Hope this helps.

0.8(15) answer 12 so thats how I know thats the sale price and they wanted to know what was the sale price. I did the I-ready..Now have a good day at school or whatever.

Find the area of this rectangle 1.6 inches 8 inches

Answers

Final answer:

The area of the rectangle is 12.8 square inches.

Explanation:

The area of a rectangle can be found by multiplying its length by its width. In this case, the length of the rectangle is 1.6 inches and the width is 8 inches. So, the formula for the area is:

Area = length x width

Substituting the given values, we get:

Area = 1.6 inches x 8 inches = 12.8 square inches

evaluate the expression 3 4/5x-2 1/2 for x =-10

Answers

Answer:

The value of given expression for x = - 10  is - 81

Step-by-step explanation:

Given expression as :

3 [tex]\frac{4}{5}[/tex]x - 2 [tex]\frac{1}{2}[/tex]

Or, 3 +  [tex]\frac{4}{5}[/tex]x  - 2 -  [tex]\frac{1}{2}[/tex]

Or,  [tex]\frac{19}{5}[/tex]x -  [tex]\frac{5}{2}[/tex]

or,  [tex]\frac{38 x - 25}{5}[/tex]

Now for  x = - 10

[tex]\frac{38\times (- 10)  - 25}{5}[/tex]

Or, [tex]{38\times (- 2)  - 5}[/tex]

∴ - 76 - 5

Or, - 81

Hence The value of given expression for x = - 10  is - 81  Answer

Find all possible values of parameter a such that x^2−|x−a|−|x−1|+3≥0 inequality holds for all real values of x.

Answers

Answer:

x ≤ 2

Explanation:

As with equations, there may be instances in which there is no solution to an inequality. Isolate the absolute value by subtracting 9 from both sides of the inequality. The absolute value of a quantity can never be a negative number, so there is no solution to the inequality.

Other Questions
In H2SO4, the oxidation number of H is , that of S is , and that of O is . In CaSO4, the oxidation number of Ca is , that of S is . , and that of O is .In HF, the oxidation number of H is , and that of F is . A control is appropriate if : 1) it will keep hackers out of sensitive systems. 2) it costs less than the asset it protects. 3) it is recommended by at least one security consultant. 4) the result of a cost-benefit analysis is positive. Nuria (1) _____(trabajar) por la noche en el servicio de atencin al cliente de Airfone. Ella (2) _____(ser) una empleada muy responsable y siempre (3) _____(respetar) todas las normas de la empresa. Una noche, un cliente llamado Enrique (4) _____(comunicarse) con Nuria y le (5) _____(hacer) un pedido inusual. l le (6) _____(explicar) a Nuria que (7) _____(necesitar) el nmero de telfono de su novia, que lo haba abandonado. (8) _____(ser) un asunto de vida o muerte. Al principio, Nuria (9) _____(negarse) a drselo. 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Now suppose that the change in government purchases of goods and services was $20 million. What value of the multiplier would result in an increase in real GDP of $200 million?c. Given the value of the multiplier you calculated in part b, what marginal propensity to save would have? Find the inequality represented by the graph. A current I flows down a wire of radius a. (a) If it is uniformly distributed over the surface, what is the surface current density K?(b) If it is distributed in such a way that the volume current density is inversely. Plot the point (3, 2pi/3), given in polar coordinates, and find other polar coordinates (r, )of the point for which the following are true. (a) r>0, -2 pi < 0 (b) r < 0, 0 < 2 pi (c) r > 0, 2 pi < 4 pi Which point is a solution to the linear inequality y < Negative one-halfx + 2? What connection may be drawn between the graphs of sin and cos and the signs of both functions relating to the 4 quadrants? Whats 2+2 equal? I need help. a grocery store sells a bag of 4 lemons for $0.79. Which pricing option would result in the same unit price for each lemon 5 1/3 + x = 2 1/2. Use least common denominator or easiest common denominator. Please work out P-fluoroanisole reacts with sulfur trioxide and sulfuric acid. Draw the major product of this substitution reaction; if applicable ASAP answer quickly pleaseOn this necklace the ratio of black beads to white beads is 2:3How many more black beads do you need toadd to make the ratio of black to white 3:1 ? When exchange rates change: Multiple Choice:O U.S. firms that produce domestically and sell only to domestic customers will be unaffected.O U.S. firms that produce domestically and sell only to domestic customers can be affected if they compete against imports.O U.S. firms that produce domestically and sell only to domestic customers will be affected, but only if they borrow in foreign currency to finance their domestic operations.O U.S. firms that produce domestically and sell only to domestic customers will be unaffected, and U.S. firms that produce domestically and sell only to domestic customers can be affected if they compete against imports. Zoe is comparing two local yoga programs. Yo-Yoga charges a $35 registration fee and $90 a month. Essence Yoga charges a registration fee of $75 and $80 per month. After how many months will the 2 programs be the same?