The designer sketched a model of the pond. The model drawing had a circumference of 24 inches. What is the AREA of the model she drew? Show your work. Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

Area of model pond = 45.6 inch² (Approx.)

Step-by-step explanation:

Given:

Circumference of circular pond = 24 inches

Find:

Area of model pond

Computation:

Circumference of circle = 2πr

Circumference of circular pond = 2πr

24 = 2[22/7][r]

Radius r = [24 x 7] / [2 x 22]

Radius r = 3.81 inch (Approx.)

Area of circle = πr²

Area of model pond = πr²

Area of model pond = (22/7)(3.81)²

Area of model pond = [3.1428][14.5161]

Area of model pond = 45.6 inch² (Approx.)


Related Questions

Julius bought F boxes of 24 plastic forks. He already had 39 plastic forks. Now, he has 135 plastic forks. How many boxes of plastic forks did Julius buy in all?
What is the best eqation?
A.
f - 24 × 39 = 135
B.
f + 24 × 39 = 135
C.
f × 24 - 39 = 135
D.
f × 24 + 39 = 135

Answers

Answer:

D

Step-by-step explanation:

boxes are the f. the amount in each is 24. theses will be mulitplied. then you want to add what he already had. that's the +39

PLEASE HELP WORTH 15 POINTS

Answers

B. XYZ is similar to ABC

pls help 209572.999129 round to the nearest cent

Answers

Answer:

$209,573.00

Step-by-step explanation:

when rounding to a place, you only need to look at the numbers one place beyond the place you are rounding to. For example, if you want to round 0.878 to the nearest tenth, you only need to look at 0.87, since both 0.87 and 0.878 round to 0.9. In this case, you are rounding to the nearest hundredth because one cent represents one hundredth of a dollar. You only need to look at 209572.999. Since the last digit is 9, which is greater than 5, you round up to 209573.00.

hope this helps please lmk if its wrong :)

A bowl of berries contains 2 strawberries, 4 blackberries, 1 raspberry, and 3 blueberries Loue will randomly select two berries one at a time from the bowl and not put them back. What is the probability that the first berry Louie selects will be a raspberry and the second berry will be a blueberry?
.) 3/9
b) 3/10
c) 1/30
d) 1/90​

Answers

Answer

b

Step-by-step explanation:

The area of a triangle is 3232. Two of the side lengths are 74 and 94 and the included angle is acute. Find the measure of the included angle, to the nearest tenth of a degree.

Answers

If im not wrong it would be 12 degrees

What is the Y-intercept of the simplified equation??

Answers

Answer: -7

Step-by-step explanation: y+3x=8x-7

subtract 3x from both sides y=5x-7

y=Mx+b

b=-7

someone please please help me with this ( a explanation on why you got this answer would be very helpful too) I would really appreciate it

Answers

Step-by-step explanation:

Let label this using a triangle.

We are sitting 300 ft away from the building.

We can look up to see the top of building at an angle of 60 degrees. So 60 degrees would be near where we standing at. The other angle of the top triangle would be 30 since that the height of building and the ground horizon is perpendicular to each other so they measure 90 degrees. Using triangle interior theorem, the missing angle would be 30.

We use another triangle since we are looking down.

The height of building and where we sitting at is perpendicular. The angle near we at would measure 15 and the missing angle would be 75.

The triangles both combine to form one triangle. They would form a isoceles triangle.

The most bottom angle of the triangles measure 75 while the angle where we are at of both triangle measure 75. so we have a isoceles triangle.

This means that the hypotenuse of the top triangle is equal to the length of the building.

To find the hypotenuse use 30-60-90 rules,

hypotenuse =twice of most shortest side.

[tex]h = 300 \times 2[/tex]

[tex]h = 600[/tex]

So the length of the building is 600.

I need help plz plspdlspslslsl 7.2 x 7.2 x 7.2 x 7.2 x 7.2 x 7.2

Answers

Answer:

Step-by-step explanation:

7.2^6

Answer:

[tex]7.2^{6}[/tex]

Step-by-step explanation:

The answer is [tex]7.2^{6}[/tex] because your multiplying 7.2 6 times.

Hope this helps!

The volume of the cube shown is 125 cubic centimeters. Which must be the value of n?

Answers

n = 20.83

125 / 6 = 20.83

their are 6 sides in a cube and 125 cubic centimeters

you're welcome

Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than he read on day one. On the third day, he reads six pages less than he reads on the first day. If he has read the entire book that contains 458 pages, how many pages did he read on day three?

Answers

Answer:

.

Step-by-step explanation:

Five coins are flipped. What is the probability that all coins land tails up?​

Answers

Answer:

Step-by-step explanation:

One coin

Answer:

i think 1/10

Step-by-step explanation:

I need help I will give you 15 points

Answers

It’s the first one because the parabola is open

Answer:

Middle answer is right

Step-by-step explanation:

The first answer is obliviously wrong so therefore it is the last two options

-(x+1)^2

= -(x^2+2x+1)

= -x^2-2x-1-3             (add the -3)

= x^2-2x-4

y intercept make x=0 therefore y=-4

AOS is x= -b/2a

x=2/2 which is 1

therefore it isthe middle answer

The function f(x)=240x represents the cost of staying at a particular hotel for x nights at the full room rate of $240 per night. The hotel gives its rewards members a discount based on the length of their stay. Each additional night that rewards members stay earns them an additional 5% discount on the total cost of their stay up to a 30% discount. The function d(x)=0.05(x-1) for 1 < x ≤ 7 represents the percentage discount in decimal form for a rewards member staying x nights at the hotel.
(a) Write an equation in simplified form to represent (fd)(x).
(b) Evaluate (fd)(4), and explain what this value represents.
I WILL OFFER BRAINLIEST FOR THE BEST ANSWER!!! HURRY NOW!!

Answers

The answer is A. I will explained how.

A customer earns 1 free night per 10 nights stayed.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, we have,

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

f(x)=x/10

When we put x=10, we get f(1)=10/10=1

Here f(1)  represents the number of free nights earned by the customer is 1 per 10 nights stayed.

When we put x=20, we get f(2)=20/10=2

Here f(2)  represents the number of free nights earned by the customer is 2 per 20 nights stayed.

When we put x=30, we get f(3)=30/10=3

Here f(3)  represents the number of free nights earned by the customer is 3 per 30 nights stayed.

When we put x=40, we get f(4)=40/10=4

Here f(4)  represents the number of free nights earned by the customer is 4 per 40 nights stayed.

Then, the pattern permits you to conclude that a customer earns 1 free night for every 10 nights stayed.

To know more about functions:

brainly.com/question/1383113

#SPJ2

complete question:

a hotel offers a reward program based on the number of nights stayed. the function f(x) represents the number of free nights earned as a function of x, the number of nights stayed. f(x)

What is the slope of the linear equation: y=-5x+6

Answer Choices:
A. -5
B. -5x
C. 1/5
D. 6

Answers

it is -5.............

A delivery truck covers a distance of 50 miles every hour. Write the equation that represents, d, the truck has covered over h hours.

Answers

Answer:

50 times h=d

Step-by-step explanation:

1
2.
-
3
C
4
5 »
What is the product of the 4th square number and the 2nd square
number?​

Answers

4th square = 16

2nd square = 4

16×4

=64

Please help me with this

Answers

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Josephina is five years older than cameron... and the sum of their ages is 31
How old is Josephina??

Answers

Answer:

josephina is 20 years old

Step-by-step explanation:

please mark brainliest

Answer:

20años

Step-by-step explanation:

NEED HELP ASAP
Complete the next equation to show the relationship between the number of ounces of oil and vinegar in the recipe.

Answers

Answer:

3!

Step-by-step explanation:

its 3, 8x3 would equal 24.

Answer: is x3

Step-by-step explanation:

Because it equals 24

Which of the following topics would you discuss first in a speech on applications of math in the everyday world?

geometry
calculus
basic operations
algebra

Answers

Answer:

basic operations

Step-by-step explanation:

QUIZ 3: ORGANIZING SPEECHES

3 squares are positioned to form a triangle. The small square is labeled 6 units, medium square is 8 units, and large square is not labeled.
Answer these questions about the right triangle.

What is the area of the square of the leg 6?

✔ 36 square units
What is the area of the square of the leg 8?

✔ 64 square units
What is the area of the hypotenuse square?

✔ 100 square units
What is the length of the hypotenuse?

✔ 10 units

Answers

Answer:

Area of Square(leg 6): 36units

Area of square(leg 8): 64units

(3) 100units is the Area

(4) Length of hypotenuse is 10units

Step-by-step explanation:

Square(leg 6): 6*6= 36

Square(leg 8): 8*8=64

The bigger square: 64+36=100

The length of the hypotenuse is 10units because 10*10=100

I hope this helps have a good day! :)

Determine if the following is Infinite solutions, one solution, or no solutions
x+y=4
2x+2y=8

Answers

Answer:

30

Step-by-step explanation:

infinite solutions cause when you take out the 2 from the bottom equation, you get x + y = 4, which is the exact same equation as the first one, so literally any two values will result in the same for both

Tara has five 10p coins and four 20p coins in her purse. She takes out two
coins at random. What is the probability that she takes out at least 30p?

Answers

Answer:

4/9

Step-by-step explanation:

9 coins in total

Amount of combinations to get 30p is 4 ways

so 4/9

Help!! Il give thanks

Answers

Answer:80

Step-by-step explanation:

All angles in a triangle add up to 180.

70+30= 100

180-100= 80

There you have it

Could someone give me the answer to this question

Answers

Answer:

Circumference = 62.8

Step-by-step explanation:

The equation for discovering a circle's circumference is simple:

-------------------------------------------------------

C = 2πr

C is the circumference (how long is the circle around)

R is the radius (half of the width of the circle)

--------------------------------------------------------

So, instead of giving us the radius, they gave us the diameter. (the full width of the circle) So, we divide that by 2 to get the radius.

20/2=10

Now, time to fill in the equation.

C = 2π10

C = 20π

C = 62.8

*They told us to use 3.14 for pi.

An art dealer makes 17.5% commission on every painting sold. If a painting sold for $1,500, what was the commission?

Answers

Answer:

262.5 dollars

Step-by-step explanation:

17.5% of 1500 is 262.5

Answer:

262.50

Step-by-step explanation:

change 17.5% into 0.175 then multiply it by 1,500

In general, describe how the outcome of the hypothesis test changes as the level of significance decreases.

Answers

Answer:

The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.

Step-by-step explanation:

As the level of significance is decreased the area for the favorable outcomes is increased. The value of ∝= 0.1 has a narrower area of favorable outcomes then the values of ∝= 0.05 or 0.01 because the value 0.1 ( 1%) is closer to the middle value or at the extreme values of the distribution as the case may be for 2 tailed or 1 tailed test.

Significance level        Two tailed Test          One tailed test

0.1                                   ± 1.645                               ±1.28

0.05                                 ±1.96                                ± 1.645

0.01                                ± 2.58                                 ±  2.33

So if the middle point is taken as zero we see that the spread of the area of the favorable values increases as the value of ∝ significance level decreases.

The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.

8x - 3y = -9 what is the slope-intercept form?

Answers

Answer:

y=(8/3)x+3

Step-by-step explanation:

8x-3y=-9

-3y=-8x-9

y=(8/3)x+3

Answer:

x = 3

y = 11

Step-by-step explanation:

8x - 3y = -9

8(3) - 3(11) = -9

24 - 33 = -9

Kit charges customers an initial fee plus a certain amount per hour to walk their pets. The table below shows the amount of money that Kit earns at her job based on the number of hours that she works. Which of the following equations represents a scenario where Kit would charge customers a higher rate to walk their pets than what is shown in the table?

Answers

Answer:

The answer would be 7.5

Step-by-step explanation:

This is due to if there were to be a chart it would start at 15 then continue by 7.5 which would then lead to 1 hour which is 22.5 min additionally other people are not answering this because you did not give all the information such as the chart etc and the answers unlike me i have the toolds and the questions.

The equation y = 8x+10 represents a scenario where Kit is charged a higher hourly rate to walk their pets.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

As per the table:

When the hours are 0 earnings are $15

Initial fee = $15

And when hours are 1 earnings is 22.5

∴ $22.5 = initial fee + hourly rate

Hourly rate to walk their pets = 22.5 - 15 = $7.5

So from the equation:

y = 7.25x + 20

Here 7.25 is the hourly rate to walk their pets and 20 represents the initial cost.

After observing all the equations:

In the equations:

y = 8x + 10

The hourly rate to walk their pets is 8 and the initial cost is $10 in this case Kit is charged a higher hourly rate.

Thus, the equation y = 8x+10 represents a scenario where Kit is charged a higher hourly rate to walk their pets.

Learn more about the linear equation here:

brainly.com/question/11897796

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Evaluate the function.

f(x)= - x^2 - 10x

find f(-5)

Answers

Answer:

f(- 5) = 25

Step-by-step explanation:

To evaluate f(- 5) , substitute x = - 5 into f(x) , that is

f(- 5) = - (- 5)² - 10(- 5) = - 25 + 50 = 25

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