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

Sam is a second grader and weighs 35 kilograms. How many milligrams does Sam weigh?

Answers

Answer:

35,000,000 miligrams

Step-by-step explanation:

1 kilograms= 1,000,000

1,000,000×35=35,000,000

3x+4=5 (2 step equations) NO BOTS

Answers

Answer:

x=1/3

Step-by-step explanation:

3x+4=5

-4       -4

3x=1

3x/3=1/3

x=1/3

Desmond really like Legos. Last Saturday Desmond counted his Legos and realized that

he has 65 altogether! Desmond has 7 less green Legos than red Legos, and the amount of

blue Legos he has is two more than three times his red Legos. How many of each color

Lego does Desmond have?
Answer Quick.
Only reply if you have the answer please

Answers

Answer: 14 red, 7 green, 44 blue

Step-by-step explanation:

First, use the letter r as a variable to represent the number of red Legos. The number of green Legos (g) is 7 less than the number of red Legos, or g = r-7. The number of blue Legos (b) is 2 more than 3 times the number of red Legos, or b = 3r+2. The total number of Legos is the number of red + green + blue Legos, which can be represented as 65 = r+g+b.

Substitute the equations for g and b in. This should give you a final equation of 65 = r+(r-7)+(3r+2). To solve for the number of red Legos, first add up all of the terms to get 65 = 5r-5. Now add 5 to each side (70 = 5r). Finally, divide each side by 5 (r = 14).

To find the number of green Legos, substitute the number of red Legos (14) into the equation for the green Legos (g = r-7). This should get you the equation g = 14-7 which simplifies to g = 7.

To find the number of blue Legos, substitute the number of red Legos (14) into the equation for the blue Legos (b = 3r+2). This gives you the equation b = (3*14)+2. First, multiply 3 and 14 to get b = 42+2. Finally, add them together to get b = 44.

find the arc length of the bolder arc
A) 283.5 mi
C) 733.0 mi
B) 10.2 mi
D) 73.3 mi

Answers

Answer:

d its d :)

Step-by-step explanation:

i already did that

Write the decimal as a fraction or a mixed number in simplest form.

−2.7 But it is infinite its .777777777777777777777777777777777777777777777777777777777777777777777777777777 for ever

Answers

Answer:27777777777777/10000000000000

Step-by-step explanation:A decimal that keep repeating over and over again is called a repating decimal or irrational numbers as the classifying numbers that these.

Answer:

87.9990

Step-by-step explanation:

−2.7¯¯¯

Could someone help me, please?

Answers

Answer:

b=56°

Step-by-step explanation:

Graph y = - 2x + 5 will give brainilist if correct

Answers

Answer:

Step-by-step explanation:

That's the graph. The slope is -2 and 5 means where the y intersects.

Josh and Katya both work at a library making $9 per hour if Katya work seven more hours than Josh last week and they made $279 combined how many hours did Katya work​

Answers

Answer:

19 hours

Step-by-step explanation:

You have 279. First, devide the 279 by 9(dollar amount).

279/9 = 31

So combined they work 31 hours. Subtract 7 from this, since we know Katya worked 7 extra hours. Youll now have 24.  (31-7 = 24)

Next, divide this number in half, which will get you what they both worked before Katya worked an extra 7 hours.

24/2 = 12.

Now that we know they both worked 12 hours, we can just add back the 7 hours Katya worked.

12+7 = 19.

So the answer to how many hours katya worked will be:

19 hours

Look at the given figure. If the triangles are congruent, give the theorem. If not, select not congruent.

a) SSA
b) SSS
c) SAS
d) Not Congruent

Answers

Answer:

SSS.

Step-by-step explanation:

The 3 sides are congruent . The  ones that are marked and the middle line which is common to both triangles.

The answer is b hoped that helped

[tex]5^{-2}[/tex] × [tex]\sqrt[3]{8}[/tex]

Give your answer in decimal

Answers

Answer:

0.08

Step-by-step explanation:

∛8 = 2 as 2*2*2 = 8

[tex]5^{-2}[/tex] = [tex]\frac{1}{5^{2} }[/tex] = [tex]\frac{1}{25}[/tex]

[tex]\frac{1}{25}[/tex] * 2 = [tex]\frac{2}{25}[/tex] = 0.08

yoo can some on help im just a dud that suck a ixl

Answers

I think the answer is 58, but im not 100% sure so im sorry if it is wrong

Could somebody do this for me

Answers

Answer:

Step-by-step explanation:

Ummmm so I tried to figure it out but I’m really confused pls help

Answers

Answer:

The price of one ticket is $76.

Step-by-step explanation:

5% of $330 is $16.50 and 45% of $330 is $148.50. Add those two together and then add $13 to it. You should get 178 and subtract it from 330 which leads you to 152. It asks for the price of one ticket, so you divide that by 2 which results to $76.

how do I do probabillty

Answers

Answer:

Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there's only a single 3 on each die), and the number of outcomes is 6.

Answer:

what the other guy said

Step-by-step explanation:

5
4
3
M(-2, 1)
2
1
-5
1
2
5
4
5
х
-4 -3 -2 -1
-1
-2-
-3-
-4
N (5,-3)
-5-
What is me distance between points M and N?
ОА. 11
O C. 33
O B. V13
OD. V65

Answers

Answer:

5

Step-by-step explanation:

not you deleting it

Find the area. (Include units in your response)

Answers

Answer:

=14x+21m

Step-by-step explanation:

7*(2x+3)

use distributive property:

14x+21

cant go any further ‘cause we don’t have an x value or = sign at the end

Remove brackets using the distributive law: -9(2r - 3s) *

Answers

The answer is -18r + 27s! :)

Answer:

-18r + 27s

Step-by-step explanation:

You would multiply 2r and -3s by -9.

Two similar solids have surface areas of 48cm and 108cm respectively.find the volume of the smaller solid if the bigger one has a volume of 162cm​

Answers

Answer:

The volume of the smaller solid is 72 cm.

Step-by-step explanation:

Given that two similar solids have surface areas of 48cm and 108cm respectively, to find the volume of the smaller solid if the bigger one has a volume of 162cm the following calculation must be performed:

108 = 162

48 = X

48 x 162/108 = X

7776/108 = X

72 = X

Therefore, the volume of the smaller solid is 72 cm.

If you answer this you're HOT!!!!!

For the following question, determine whether the two are similar. If so, give the scale factor of the figure to the larger figure

Answers

Answer:

Yes, 1:3.

Step-by-step explanation:

Each of the numbers on figure 2 are 3 times the number on figure 1.

Is this is it rational or irrational? If rational prove it by converting it to a fraction ​

Answers

Answer:18

Step-by-step explanation:trust

(HELP ILL GIVE BRAINLY PLEASE)

Answers

Answer:

4 is 2059

5 is 6xy^2

Step-by-step explanation:

What’s 1 + 1?
A. 0
B. 0
C. 0
D. 2

Answers

Answer:

its D

Step-by-step explanation:

[tex]1 + 1 = 2 \\ [/tex]

what is the answer wil mark brainleist and report those who put random answers 30 points

Answers

Answer: 92 ft

Step-by-step explanation:

Answer:

36 square feet

Step-by-step explanation:

12*7/2 - 3*2 = 36 square feet

Find the number of terms for this polynomial - 17x ^ 5 + 17x ^ 3 - 18

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

  −1(175−173+18)   (that sould be the solution)

Hope that helps

Can someone please help

Answers

Answer:

D

Step-by-step explanation:

You need to dialate the shape by 2 centered in the origin and it rotates 180 degrees.

Someone help and plz make sure it’s right :)

Answers

your answer is acute and right!!!
The answer is Acute.

Since none of the angles are right or more than right, it would be acute.

An isosceles triangle is shown below.
80°
X
Which equation can be used to find the
measure of angle x?
F 360 - 80x = 180
G 360 - 80 - x = 180
H x + 2(80) = 180
J 2x + 80 = 180

Answers

Answer:

J is the perfect equation to solve for x because 2x represents the bases of an isosceles ∆

Answer:

Step-by-step explanation:

Helppp do any understand rhis ?

Answers

110+45= 155
180-155=25
x=25

Answer:

x= 25 degrees

Step-by-step explanation:

A triangle has a total of 180 degrees.

110 degrees + 45 degrees = 155 degrees

180 degrees - 155 degrees = 25 degrees

Remove the largest possible common factor. Check your answer by multiplication.
35x3 + 21x2 + 28x

Answers

Answer:

7x

Step-by-step explanation:

HELP!!!PLS!!!NOW!!!FAST!!!ASAP!!!

Answers

Answer:

lol what

Step-by-step explanation:

Answer:

:)

Step-by-step explanation:

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