You want to install a 2 yd wide walk around a circular swimming pool. The diameter of the pool is
22 yd. What is the area of the walk? Use 3.14 for pi.

Answers

Answer 1

Answer:

[tex]area = \pi {( \frac{d}{2}) }^{2} \\ = 3.14 \times {22}^{2} \div 4 \\ = 379.94 \: {yd}^{2} [/tex]

Answer 2

Answer:

150.72² yds

Step-by-step explanation:

We know that they want a 2 yd around the whole pool.  We also know that the diameter is 22yds (the raidus is therefore 11 yds).  We can solve this by first finding the area of the pool.  

3.14 × 11² = 379.94

Now we can solve for the area of the circle, with the 2 yd path around the whole pool.  We can do this by adding 2 yds to our radius.

3.14 × 13² = 530.66

Now our final step is to subtract the area of the pool from the area of the entire circle.

530.66 - 379.94 = 150.72

Therefore, the area of the walk is equal to 150.72 yds²


Related Questions

2. A display window consists of a stacked pyramid of books for sale. The bottom row has 27 books. Each row has two fewer books than the row below it. The display has 13 rows (a) Write and use a function to determine how many books are in the top row. Show your work. (5 points ) (b) Use the appropriate formula to determine the number of books in the entire display. Show your work . (4 points )

Answers

Answer:

A) 1

Step-by-step explanation:

A) 27 ÷ 13 = 1

B) if you take away 2 from "27", "13" times you will get 1 as the final answer.

I hope this helps, if I'm wrong please do correct me.

Find the volume of the figure shown below.


A)14 units^3
B)9 units^3
C)None of these answers
D)There’s not enough info
E)24 units^3

Answers

Answer:

E. 24 units³

Step-by-step explanation:

the volume = 4×3×2 = 24

Choose the answer that represents the product below as a exponential
expression.
(-4).(-4).(-4).(-4).(-4).(-4)
A. (-4)^6
B. (-4)^4
C. 6•(-4)
D. (-6)^-4

Answers

Answer:

(-4) ^6

Step-by-step explanation:

(-4)*(-4)*(-4)*(-4)*(-4)*(-4)

There are six (-4)'s multiplied together

(-4) is the base and 6 is the exponent

(-4) ^6

Ms.Smith notices that a roulette wheel lands on red 4 times in a row. Should she suspect that the wheel is rigged?

Answers

no. she’s unlikely to get four in a row, it is not impossible.

No, 50 by 50 chance.

Determine the number of solutions for the system 2x+3y=5 and -9y=6x-15

Answers

9514 1404 393

Answer:

  infinite number of solutions

Step-by-step explanation:

The two equations describe the same line.

Adding 9y+15 to the second equation makes it be ...

  15 = 6x +9y

Dividing that by 3 gives you ...

  5 = 2x +3y . . . . . . identical to the first equation

The lines intersect at every point, so there are an infinite number of solutions.

Elena drove a total of 203 miles last week. She drove 28 miles during the week to run errands and 35 miles each day to go to work and back. What equation can be used to find how many days, that Elena drove to work last week

Answers

Answer:

35×7=56 is a AWNSER djndhei

35 miles back and forth is 2 times a day so 35x2 is 70 so 70x7 for 7 days a week

write even number between 10 and 20​

Answers

Not sure what exactly your asking but I think the answer is 12, 14, 16, 18

find the measure of one interior angle in a regular 23-gon

Answers

Answer: A polygon with 23 sides has a total of 3780 degrees. total interior angles = (n - 2)180°, where n is the number of sides.

The measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees

How to calculate the sum of the interior angle of a regular polygon?

The formula which is used to calculate the sum of the angle of regular polygon is given by

sum of the interior angles = ( n - 2 ) × 180 degrees

Where,

n is the number of sides

According to the given question.

We have a regular polygon with 23 sides.

⇒ n = 23

Therefore,

The sum of the interior angles of the given regular polygon

= (23-2) × 180

= 3,780 degrees

So, the measure of one interior angle = [tex]\frac{3780}{23} = 164.3 degrees[/tex]

Hence, the measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees.

Find out more information about interior angle of a regular polygon here:

https://brainly.com/question/22408868

#SPJ3

Solve 4(m-3)=24
Gggg

Answers

solution//

= 4(m-3) = 24

= 4m-12 = 24

= 4-12+12 = 24+12

= 4m = 36

= 4m = 36

4 4

= m = 9

Step-by-step explanation:

Thank you

[tex]\sf\purple{The\:value\:of\:m\:is\:9.}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]4 \: (m - 3) = 24 \\ ⇝4 \: m - 12 = 24 \\ ⇝4 \: m = 24 + 12 \\ ⇝4 \: m = 36 \\ ⇝m = \frac{36}{4} \\ ⇝m = 9[/tex]

To verify:-

[tex]4(m - 3) = 24 \\ ⇝4(9 - 3) = 24 \\ ⇝4 \times 6 = 24 \\ ⇝24 = 24 \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]

which numbers in the set (2, 3, 4, 5,) are solutions to the inequality 19- 4x>3

Answers

Answer:

2 and 3

Step-by-step explanation:

Given the set (2, 3, 4, 5,) and inequality 19- 4x>3

To obtain which number gives a solution, we test each value in the set ;

19- 4x>3

For x = 2

19- 4(2)>3

19 - 8 > 3

11 > 3 (true)

x = 3

19- 4(3)>3

19 - 12 > 3

7 > 3 (true)

For x = 4

19- 4(4)>3

19 - 16 > 3

3 > 3 (false )

For x = 5

19- 4(5)>3

19 - 20> 3

-1 > 3 (false)

Sung Lee invests $3,000 at age 18. He hopes the investment will be worth $9,000 when he turns 25. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.​

Answers

Answer:

.169

Step-by-step explanation:

I hoped I helped you solve sorry if I'm wrong

Bilal's fishing line was on a spool with a radius of 4 cm. Suddenly, a fish pulled on the line, and the spool spun
16 times before Bilal began to reel in the fish.
What is the distance the fish pulled the fishing line?
Round your answer to the nearest cm.

Answers

Answer:

402 cm

Step-by-step explanation:

Given :

Radius = 4 cm

The Circumference of a circle :

C = 2πr

C = 2 * π * 4 = 8π

Spool is spun 16 times :

Circumference * 16

8π * 16

8 * 3.14 * 16

= 401.92

= 402 cm

Answer:

402 cm

Step-by-step explanation:

Write and graph an inequality to represent each situation.
The stock is worth at least $3.5

Answers

Answer:

Step-by-step explanation:

Let stock worth be x.

The inequality will be x ≥ 3.5

The graph will be a number line with numbers 1, 2, 3 , 4 , 5 , 6 . . .

Then darken a small circle at 3.5 and darken the line

moving towards 4, 5 , 6 . . .  and finally end with an arrow mark. showing it goes to ∞  

If triangle ABC is reflected across the y-axis and then rotated 90 degrees clockwise about the origin, what would the coordinates of point A’ of the transformed triangle be?

Answers

Answer:

A' (2,-1) B' (4.-1) C' (1,-4)

Step-by-step explanation:

Answer:

(-2,-1)

Step-by-step explanation:

9 cm
7 cm
7 cm
7 cm
The area of one of the bases of the above figure is about 21.2 cm2. The
surface area of the figure is?
A. 273.4 cm2
B. 210.4 cm2
C. 231.4 cm2
D. none of the above

Answers

Answer:

d

Step-by-step explanation:

none of the above mhhmm

Answer:

the answer to the question is 231.4 cm^2

Step-by-step explanation:

just got it wrong  

José drove from New York to Florida. Resting for 1 hour for every 5 hours he drove. If he drove for 35 hours how many hours did he rest.

Answers

Answer:

7 hours

Step-by-step explanation:

He drove 35 total miles so he would rest 35/5 hours. 35/5 is equal to 7 hours.

The answer is that he rested for 7 hours.

Find a polar equation of the conic in terms of r with its focus at the pole. Conic Eccentricity Directrix Parabola e = 1 x = −1

Answers

Answer:

Step-by-step explanation:

From the given information:

The Directrix  x = - 1

The eccentricity  e = 1

Since the Directrix x = - 1, it implies that the directrix appears on the left negative side of the pole and is vertical.

Hence, the conic equation in terms of r is:

[tex]\mathsf{r =\dfrac{ep}{1-e \ cos \ \theta}}[/tex]

From the directrix to the pole, the distance p = 1

So;

[tex]\mathsf{r =\dfrac{1*1}{1-1 \ cos \ \theta}}[/tex]

[tex]\mathbf{r =\dfrac{1}{1- \ cos \ \theta}}[/tex]

Find the volume of the composite figure.

Answers

96 cubic feet

Explanation:
Divide figure into 2 rectangular prism, one on top and one at the bottom.

Volume of top prism (length x width x height):
3 • 4 • 2 = 24 cubic feet

Volume of bottom rectangular prism:
9 • 4 • 2 = 72 cubic feet

Add the volume of both figure together:
24 + 72 = 96 cubic feet

Hope this helps!
-SpaceMarsh
24+72 24+72=96ft2 I think that’s the correct answer

I need help with #7. Please help. I have to show all work so please explain

Answers

Answer: 2√17 A website to use for this would be "M a t h w a y"!!! Good luck, hope I helped!!!

The coefficient of x in the expansion of (x + 3)(x - 1) is

It’s either
2
-2
-3
4

Answers

Answer:

[tex]{ \tt{(x + 3)(x - 1)}} \\ = { \tt{ {x}^{2} - x + 3x - 3 }} \\ = { \tt{ {x}^{2} + 2x - 3 }} \\ \\ { \boxed{ \bf{coefficient = 2}}}[/tex]

The. right answer is 2

factorise fully 16c^4p^2+20cp^3​

Answers

Answer:

4cp^2 ( 4c^3+5p

Step-by-step explanation:

See image below:)

The factored form of the expression will be [tex]4cp^2 (4c^3+5p)[/tex]

Factorization:

Given the expression  16c^4p^2+20cp^3​

Get the factor for each term

[tex]16c^4p^2 = 4 * 4 * c^3 * c * p^2 \\20cp^3= 4 * 5 * c * p^2 * p[/tex]

From the factors, you can see that 4cp^2 is common to both terms. Hence the factored form of the expression will be:

[tex]4cp^2 (4c^3+5p)[/tex]

Learn more on factored form here: https://brainly.com/question/25948667

Rewrite the polynomial in the form ax^2 + bx + C and then identify the values of a, b, and c.

I really need help ):

Answers

Answer:

[tex]a = 5\\\\b = -1\\\\c=1[/tex]

Step-by-step explanation:

Given

[tex]-x+5x^2+1[/tex]

Required

Rewrite and identify a, b and c

The required form is:

[tex]ax^2 + bx + c[/tex]

Equate both expressions

[tex]ax^2 + bx + c = -x+5x^2+1[/tex]

Rewrite as:

[tex]ax^2 + bx + c = 5x^2-x+1[/tex]

Compare the expressions on either sides

[tex]a = 5\\\\b = -1\\\\c=1[/tex]

What is the GCF of the terms of 8c3 + 12c2 + 10c

Answers

Answer:

The GCF of the terms is 2c

Step-by-step explanation:

Greatest common factor:

To find the gcf of the expression, we find the gcf separately for the numbers and for the powers of c, and then multiply them.

Numbers:

8, 12 and 10.

Dividing them all by prime factors:

8 - 12 - 10|2

4 - 6 - 5

5 is not divisible by 2, so we stop there, and the gcf of the numbers is 2.

Powers of c:

Powers of c are 1, 2 and 3. The gcf of 1,2,3 is 1, as there is not a number that is divisible by all of 1,2,3 other than 1. So the gcf for the powers of c is c^1 = c.

GCF of the expression:

2*c = 2c

How many beans stacked on top of each other would it take to reach the moon. And we're talking Lima beans here.

Answers

Answer:

I would say more than 4 billion...

Step-by-step explanation:

HELPPP HOW MANU SURFACE AREAS DOES THIS HAVE DONT SEND A FILE!!

Answers

This has 6 surface areas ok zzmznznznznzjjznznsnjsowowokwkwnendmdmdmdm
the answer would be 6 i don’t know though

How stopwatch can measure accurate reading?

Answers

answer in picture

stay safe (..

Answer:

Hello There!!

Step-by-step explanation:

Reading gives the required time interval.Some precise stopwatches are electronically connected to the time event.Therefore, making it more accurate.

hope this helps,have a great day!!

~Pinky~

Can someone help me solve this

Answers

Answer:

Yup! There are 6 possible 0s, 4 actual 0s, and the factored form is -2x^5-6

Step-by-step explanation:

what is 2.8436 rounded to the nearest thousandth?​

Answers

Answer:

2.844

Step-by-step explanation:

2.8436 is 2.844 when rounded to the nearest thousandth because the ten thousandth digit is 6, which means you round up for 3. Hope this helps!

Answer:

2.84

Step-by-step explanation:

2.8436 is rounded to the nearest thousands we get 2.84

Please help me with these questions

Answers

Answer:

okay the first questions answer is ,c,is true and rest of them are false

The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years. Approximate the population of the town 5 years from now.
________ residents (round to nearest whole number)

Answers

{Answer:

3893 residents.

Step-by-step explanation:

Equation for population growth:

The equation for the size of a population, considering that it doubles every n years, is given by:

[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]

In which A(0) is the initial population.

The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.

This means that [tex]A(0) = 2463, n = 12[/tex]. So

[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]

[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]

Approximate the population of the town 5 years from now.

This is A(5). So

[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]

[tex]A(5) = 2463(3)^{(\frac{5}{12})} = 3892.8[/tex]

Rounding to the nearest whole number, 3893 residents.

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