An ad for an above-ground pool states that it is 25 m2. From the ad, you can tell that the pool is a circle. If you swim from one point at the edge of the pool to another, along a straight line, what is the longest distance d you can swim? Express your answer in three significant figures.

Answers

Answer 1

Answer:

d ≈ 5.64 m

Step-by-step explanation:

We are told that the pool is circular and that the area is 25 m².

Now, the longest chord that connects two points in a circle is the diameter.

Thus, the longest distance d will be the diameter

Area of circle is given by the formula;

A = πr²

Thus;

25 = πr²

r² = 25/π

r = √(25/π)

r = 5/√π

Diameter is twice the radius. Thus;

d = 2 × 5/√π

d = 10/√π

d ≈ 5.64 m


Related Questions

In a box plot, if there is an outlier shown in the picture below, what is considered the min? The outlier or 59?

Answers

Step-by-step explanation:

The outlier is excluded, so the minimum is 59.

Compute the difference: -115-(-115) *

Answers

Answer:

0

Step-by-step explanation:

-115-(-115)

Subtracting a negative is like adding

-115 + 115

0

The answer is 0

Because they subtract each other

Simplify the given expression below: (4+2i)-(1–7i)

Answers

Answer:

3 + 9i

Step-by-step explanation:

(4 + 2i) - (1 - 7i)

distribute the (-)

(4 + 2i) - 1 + 7i

combine like terms

3 + 9i

plzzz help A model train is on a track 100 cm from its starting point. Turning a switch displaces the train either forward or backward 25 cm along the track depending on which way the switch is turned. Which equation models the position of the train along the track after you turn the switch? A. |x − 25| = 100 B. |x − 100| = 25 C. |x + 25| = 100 D. |x + 100| = 25

Answers

Answer: B.  |x-100| = 25

Explanation:

Draw out a number line. Mark 75, 100 and 125 on the number line as points A, B, and C in that order. Don't worry about the spacing.

The value of x represents where the train is. So if we had say x = 85, then it would be at location 85 on the number line. Writing |x-100| is the distance from x to 100. The absolute value ensures the distance is never negative. We want this distance to be 25 because after traveling 25 cm, the switch is turned, and the train goes the other way.

The equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.

What is an equation?

One-variable linear equation The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.

The train's location is indicated by the value of x. Therefore, if x were to equal, let's say, 85, it would be at position 85 on the number line.

The distance between x and 100 is expressed as |x-100|. The distance will never be negative thanks to the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.

Therefore, the equation which models the movement of the train is represented by |x − 100| = 25. The correct option is B.

To know more about an equation follow

https://brainly.com/question/1640242

#SPJ2

divide 4,000,000 in the ratio 2 is to 3 is to 4 is to 5 is to 6​

Answers

Answer:

Step-by-step explanation:

2+3+4+5+6=20

20/20=4,000,000

2/20=?

2/20×4,000,000÷20/20=400,000

20/20=4,000,00

3/20

3/20×4000000÷20/20=600,000

20/20=4,000,000

4/20

4/20×4,000,000÷20/20=800,000

20/20=4,000,000

5/20

5/20×4,000,000÷20/20=1,000,000

20/20=4,000,000

6/20

6/20×4,000,000÷20/20= 1,200,000

2:3:4:5:6=400,000 :600,000: 800,000 : 1,000,000: 1,200,000

What is the angle between the given vector and the positive direction of the x-axis?8i + 6j.

Answers

Answer:

The between the given vector and the positive direction of the x-axis is approximately 41.186º.

Step-by-step explanation:

Let be [tex]\vec u = 8\,i + 7\,j[/tex] and [tex]\vec v = i[/tex] (Positive direction of the x-axis), the angle between both vectors can be determined from definition of dot product:

[tex]\vec u \bullet \vec v = \|\vec u\|\cdot \|\vec v\| \cdot \cos \theta[/tex]

Angle is cleared:

[tex]\cos \theta = \frac{\vec u\bullet \vec v}{\|\vec u\|\cdot \|\vec v\|}[/tex]

[tex]\theta = \cos^{-1}\left(\frac{\vec u \bullet \vec v}{\|\vec u\|\cdot \|\vec v\|} \right)[/tex]

The norms of [tex]\vec u[/tex] and [tex]\vec v[/tex] are found by Pythagorean Theorem:

[tex]\|\vec u\| = \sqrt{8^{2}+7^{2}}[/tex]

[tex]\|\vec u\| \approx \sqrt{113}[/tex]

[tex]\|\vec v\| = 1[/tex]

The dot product between both vectors is:

[tex]\vec u \bullet \vec v = (8)\cdot (1) + (6)\cdot (0)[/tex]

[tex]\vec u \bullet \vec v = 8[/tex]

The angle is now calculated:

[tex]\theta = \cos^{-1}\left(\frac{8}{\sqrt{113}} \right)[/tex]

[tex]\theta \approx 41.186^{\circ}[/tex]

The between the given vector and the positive direction of the x-axis is approximately 41.186º.

5000000 divided by what equals 400​

Answers

you take 500,00,00 divided that by 400 and you get your answer 12,500

6+4m-1=21

PLEASE HELP! I’m stuck on this question :/

Answers

Answer:

m=4

best of luck!

Step-by-step explanation:

Answer:

m=4

Step-by-step explanation:

6+4m-1=21

(6-1=) 5+4m=21

21-5=16

16÷4m = 4

If 3x = y - 5 and x = -4, then y =*

Answers

Answer:

y = -7

Step-by-step explanation:

3(-4) = y - 5

-12 = y - 5

y = -12 + 5

y = -7

Can you assume intersection of lines from a diagram

Answers

Answer:

No

Step-by-step explanation:

t the two equations for the lines into slope-intercept form. ...

Set the two equations for y equal to each other.

Solve for x. ...

Use this x-coordinate and plug it into either of the original equations for the lines and solve for y.

Please answer I will make you Brainliest if it's right

Answers

Answer:

perfect square

Step-by-step explanation:

Perfect square or square root of 9

24x - 22 = -4 (1 - 6x)

Answers

Answer:

ffdfssss

Step-by-step explanation:

fdfdfdfd

Answer:

x is invalid.

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Remember to follow PEMDAS.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, distribute -4 to all terms within the parenthesis:

-4(1 - 6x) = (-4 * 1) + (-4 * -6x) = -4 + 24x

24x - 22 = -4 + 24x

Isolate the variable, x. Subtract 24x from both sides:

24x (-24x) - 22 = -4 + 24x (-24x)

0 - 22 = -4 + 0

-22 ≠ -4, therefore, this question is invalid.

~

Verify that ϕ(x)=2(1−cex), where cis an arbitrary constant, is a one-parameter family of solutions to dydx=y(y−2)2.Graph the solution curves corresponding to c=0,±1,±2using the same coordinate axes.

Answers

Answer:

Following are the solution:

Step-by-step explanation:

Given equation:

[tex]\frac{dx}{dy}= \frac{y(y-2)}{2}........(a)[/tex]

[tex]\Phi (x) = \frac{2}{1-ce^x}[/tex]

In the question [tex]\Phi (x)[/tex], is a solution of the equation (a) only if when [tex]\Phi (x)[/tex]satisfies equation (a):

let us find [tex]\Phi' (x)[/tex]:-

[tex]\Phi(x) =\frac{d}{dx} \Phi (x)=\frac{d}{dx}(\frac{2}{1-ce^x})[/tex]

                        [tex]= 2 \frac{d}{dx}({1-ce^x}^-1)\\\\= 2 (-1) ({1-ce^x})^{-2} \frac{d}{dx}({1-ce^x})\\\\= -2 ({1-ce^x})^{-2} (-ce^x})\\\\= 2(-ce^x) ({1-ce^x})^{-2} \\\\[/tex]

Now:

[tex]\frac{dy}{dx}=\frac{y(y-2)}{2}\\\\\frac{d}{dx}\Phi (x) =\frac{\Phi (x) (\Phi (x)-2)}{2}\\[/tex]

by subtracting the value of [tex]\Phi (x)[/tex]and [tex]\frac{d}{dx}[/tex][tex]\Phi (x)[/tex],we get:

[tex]\to[/tex][tex]2ce^x(1-ce^x)^-2= \frac{(\frac{2}{1-ce^x})(\frac{2}{1-ce^x})^{-2}}{2}[/tex]

[tex]=2ce^x (1-ce^x)^{-2}=\frac{1}{2}[\frac{2}{1-ce^x}(\frac{2-2(1-ce^x)}{1-ce^x)}]\\\\= \frac{1}{1-ce^x} \times \frac{2ce^x}{1-ce^x}\\\\=\frac{2ce^x}{(1-ce^x)^2}\\\\=2ce^x (1-ce^x)^-2[/tex]

[tex]\bold{2ce^x(1-ce^x)^-2=2ce^x(1-ce^x)^-2}[/tex]

[tex]\Phi (x)[/tex] the solution of the given equation. [tex]\Phi (x)[/tex] has one Parameter Family of

[tex]\frac{dy}{dx}=\frac{y(y-2)}{2}[/tex]

[tex]\Phi (x) =\frac{2}{1-ce^x}\\\\_{when} \ \ \ c= 0 \to \Phi (x) =\frac{2}{1-0\times e^x}=2\\\\_{when} \ \ \ c= 1 \to \Phi (x) =\frac{2}{1-1\times e^x}=\frac{2}{1-e^x}\\\\_{when} \ \ \ c= -1 \to \Phi (x) =\frac{2}{1-(-1)\times e^x}=\frac{2}{1+e^x}\\\\_{when} \ \ \ c= 2 \to \Phi (x) =\frac{2}{1-(-2)\times e^x}=\frac{2}{1-2e^x}\\\\_{when} \ \ \ c= -2 \to \Phi (x) =\frac{2}{1-(-2)\times e^x}=\frac{2}{1+2e^x}\\\\[/tex]

8

Answers

Answer:

8

Step-by-step explanation:

8 is the digit after 7  and previous to 9

2a+4b-a+2b=???
Where do I start

Answers

combine all the likes terms first, your answer would be a + 6b

I need help please! I really need this fast

Answers

The answer I believe is 19

The area of a triangle is 11.5 square in the base is 23 in what is the height in inches

Answers

Answer:

Height = 1 inch

Step-by-step explanation:

area of triangle = 1/2 x base x height

       11.5 =1/2 x 23 x height

       23/23 = height

       height = 1

Answer:

h = 1 inches

Step-by-step explanation:

The area of a triangle = formula

A = b×h/2

2A = b×h

h = 2A/b

h = 2×11.5in²/23in

= 23in²/23in

= 1 in

is y+2=8 an expression​

Answers

Answer:

no

Step-by-step explanation:

hope this helps

No it isn’t . Tell me if that helped .

Is the value of the first 5 ten times as great as the value of the second 5 in 5,045

Answers

Answer:

No

Step-by-step explanation:

Its 1000

PLEASE HELPPPPP I WILL MARK YOU BRAINLIEST Akai was eating a pizza over the course of the weekend. On Saturday night, he ate 3/4 of the pizza. On Sunday morning he ate 1/6 of the pizza, and on Sunday night he ate the rest of the pizza. What portion of the pizza did he eat on Sunday night?*

Answers

He ate 1/6th of it I believe.

Answer:

50%

Step-by-step explanation:

34+16=50% he or she ate half of the pizza

What is the sum of 9+10 (;

Answers

Answer:

19 or 21.

Step-by-step explanation:

I swear.

5 + 5 = 10

10 + 5 = 15

15 + 4 = 19

________________

9 + 9 = 18

18 + 10 = 28

28 - 5 = 23

There are two nines so

23 - 2 = 21

240 students to 12 teachers as ratio

Answers

Answer:

1 : 20 20 students for every 1 teacher

Step-by-step explanation:

divide both sides by 12

A cell phone weighs about 2.8x 10pounds. Which value of n is most reasonable?
-3
-1
0
1​

Answers

Answer:0

Step-by-step explanation: took the quiz

Which features describe the graph? Select all that apply

Answers

Answer:

- Decreasing  

Step-by-step explanation:

im not sure of the last two but the others are for sure a no

The sum of two numbers is 24. One is 6 less than twice the other. Find the two numbers.

(apply polya's problem solving method)​

Answers

Answer:

[tex]\huge\boxed{\sf x = 14 , y = 10}[/tex]

Step-by-step explanation:

Let the two numbers be x and y

Condition # 1:

x + y = 24  ---------------------(1)

Condition # 2:

x = 2y - 6  ----------------------(2)

[tex]\rule[225]{225}{2}[/tex]

Putting Equation # 2 in Equation # 1

2y - 6 + y = 24

3y - 6 = 24

Adding 6 to both sides

3y = 24 + 6

3y = 30

Dividing both sides by 3

y = 10

[tex]\rule[225]{225}{2}[/tex]

Putting y = 10 in Equation # 2

x = 2y - 6

x = 2(10) - 6

x = 20 - 6

x = 14

[tex]\rule[225]{225}{2}[/tex]

The two numbers are 10 and 14.

The sum of 2 numbers is 24.

let the number be x and y . Therefore,

x + y = 24

One is 6 less than twice the other. therefore,

2x - y = 6

Combine the equations

x + y = 24

2x - y = 6

3x = 30

x = 30 / 3

x = 10

x + y = 24

10 + y = 24

y = 24 - 10

y = 14

The 2 numbers are 10 and 14 .

learn more: https://brainly.com/question/2927457?referrer=searchResults

Michael earns $10 per hour. He regularly works 40 hours per week.
How many overtime hours would he have to work in a week for his
overtime pay to be greater than his regular gross pay?

Answers

5. Tania earns $13.50 per hour at the Glendale Florist. She regularly works 40 hours per week. She is paid time-and-a-half for each hour of overtime work. Last week she worked. 43 hours. What was her gross pay for the ...

Missing: michael ‎| Must include: michael

Select the correct graph for the function ƒ(x) = –x – 7.

Answers

Step-by-step explanation:

The second graph is the right one

Answer:

see below

Step-by-step explanation:

f(x) = -x-7 is of the form

y = mx+b  where m is the slope and b is the y intercept

The line  has a y intercept of (0,-7) and a slope of -1

A slope of -1 means the line goes down from left to right ( down 1 and to the right 1)

Solve the inequality. Graph the solution
|2x+7|>23

Answers

If 2x+7>=0, x>=-3.5 then |2x+7|=2x+7.

Then the inequality becomes:

2x+7>23, 2x>16, x>8.(which is an acceptable result since we already assumed x>=-3.5)

If 2x+7<0, x<-3.5 then |2x+7|= -(2x+7).

Then the inequality becomes:

-(2x+7)>23, 2x+7<-23, 2x <-30, x<-15.

(which is an acceptable result since we already assumed x<-3.5)

Thus the answer is x<-15 or x>8.

The graph is simple. You draw the line of real numbers and "shadow" all numbers above 8 and all numbers bellow - 15.

0.2121 repeating as fraction

Answers

2122/10000 repeating as fraction

help me I don't understand

Answers

Answer: the answer should be A

if this helps the equation format is y= mx + b your replace the with the slop and the b with the y intercept

the way to find the slope is rise over run

Step-by-step explanation:

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