After remodeling the circular deck, the Museum Board Members decided to also build a
circular fence around the existing playground for safety reasons. The diameter of the
entire circular fence is 102.8 feet, while the radius of the playground is 37.3 feet.
Determine the difference in areas of the two regions. Show your work and justify your
reasoning.

Answers

Answer 1

9514 1404 393

Answer:

  3929 square feet

Step-by-step explanation:

The radius of the fence circle is half its diameter, so is 51.4 feet. The area of a circle is given by the formula ...

  A = πr^2

The difference in areas of the two regions is found by subtracting the smaller area from the larger one. So, the difference in area between the fenced area of radius 51.4 feet and the playground area of radius 37.3 feet is ...

  ∆A = π(51.4^2 -37.3^2) = 1250.67π ≈ 3929 . . . square feet


Related Questions

9x + 9x − 21 = 33

Please solve for x C:

Answers

Answer:

x = 3

Step-by-step explanation:

Combine like terms

18x - 21 = 33

add 21 to both sides

18x = 54

divide both sides by 18

x=3

X=3 hope this helps :)

please help with this anyone

Answers

You distribute the 4 to both x and 5. 4 times x is 4x and 4 times 5 is 20. Divide both sides by 4. X=5

The swimming pool is opened 8 hours a day the pool manager must divide pool time equally among 5 groups; camp, camp swim team, swim lessons, family swim, and open swim how much time should she allow for each group?

Answers

Answer:

1.6 hours for each group

Step-by-step explanation:

8 / 5 = 1.6

1.6 x 5 = 8

you have to share 8 hours equally among 5 groups so its just 8 / 5 and you get 1.6 and thats how many hours each team is going to get

Sasha bought 22.1 yards of fabric to make blankets. She needs 3.2 yards of fabric for each blanket. How many full blankets can Sasha make with the fabric she bought?


8

7

6

70

Answers

I’m guessing 7 or 70 ?
I’m guessing the answer is 7

3x7= 21

70 is wayyyy too big

Please Help No Files or Links I Will Thank and Give Five Stars

Answers

Answer:

Line 1 : 0

Line 2 : -4/3

Line 3 : -4/3

Line 4 : 0

Line 5 : 7/3

Line 6 : 0

Line 7 : 0

Line 8 : 0

Line 9 : Not defined

Line 10 : Not defined

Line 11 : 0

Line 12 : Not defined

Step-by-step explanation:

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).

Cartesian plane, the slope m of the line that passes through two given points P(x1, y1) and Q(x2, y2) is the ratio of the variation of the y-coordinates to the variation of the x-coordinates. The concept of slope is related to the study of figures in the Cartesian plane, in which the vector space is orthonormal.

To learn more about coordinate geometry,

https://brainly.com/question/11498609

1. At a bake sale, a dozen cookies sold for $4. This price was 80% of the original price. What was the original price?
If 12 cookies are for $4

Answers

Answer : Original price $5
Equation 80%/100% $4/?
1) Multiply 100 by 4 which gives you 400
2) divide 400 by 80 which gives you 5
Turn 5 into $5
Answer above is correct i checked it its 5 dollars

PLS HELP
What is the greatest common factor(gcf) of the expression 4a3b2 + 6a2b + 8ab3?

a
2ab
b
24ab
c
2a^3b^3
d
24a^3b^3

Answers

Answer:

2ab is the answer! :)

Step-by-step explanation:

original price: $32 discount: 16% sale price: ?

Answers

Answer:

£26.88

Step-by-step explanation:

16% of £32 = £5.12

 32.00

- 05.12

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

  26.00

26:88 .....................

Somebody Please Help Me!

Answers

Answer:

[tex]4 \: \: \: 4\pi \\ 4 \: \: \: \: \:8 \\ 36\pi \\ 16\pi \\ 10 \: \: \: 20\pi[/tex]

Which statement about the employees is supported by the data in the bar graph?

Answers

D is the answer. 45 employees in category 1, 15 in category 3.

Answer:

A

Step-by-step explanation:

If u look at the diagram you will see that A is a more suitable answer because there is more than half the category in I

Help, quickly if possible.

Answers

Answer:

the answer is B : 7

Step-by-step explanation:

Answer:

B. 7

Step-by-step explanation:

According to the word problem, Muna is dividing a piece of string that 42 2/3 long into 2/3 pieces.

[tex]\frac{14}{3} /\frac{2}{3}[/tex] (changed to an improper fraction)

Whenever dividing fractions, remember this:

SAME, CHANGE, RECIPROCAL (FLIP)

KEEP THE FIRST FRACTION THE SAME

CHANGE THE DIVISION SIGN TO A MULTIPLICATION SIGN

FLIP THE SECOND FRACTION

[tex]\frac{14}{3} *\frac{3}{2} =\frac{42}{6}[/tex]

[tex]\frac{42}{6} =7[/tex]

I, therefore, believe Muna will have 7 pieces of string.

what is 130000000000000000 x 2345

Answers

3.0485e+18. That is the answer
That’s not possible I think

An aircraft flies 80km due north. Then it flies 72 due west. Calculate how far the aircraft would have travelled if it had travelled directly from its starting point to its destination

Answers

Answer:

i cant be you a sorry your answer my question

Total destination will be:
80 + 72 = 152 km

A net has a square at the center and 4 triangles on the sides. The square has side lengths of 2 yards. The triangles have a base of 2 yards and a height of 3 yards.
What is the surface area of the square pyramid?

The surface area is
yd2.
Please Hurry! NO SPAM

Answers

Answer is 48 I’m not sure but that’s what I got!

Answer:

It's 16

Step-by-step explanation:

Sorry it's late, but I just did it and hope it may help someone else :)

I need help with number 2 ASAP, PLEASE, give an explanation! That is what the question is asking!

Answers

Yes, 3 and 4 would because they meet perfectly at the corners!
No because the hypotenuse needs to be greater than the legs to make a triangle

Will give brainliest!! Using the measurements of the shapes.. determine the area and perimeter of the irregular polygon.

Answers

Answer:

[tex]p=28.2\:\text{units},\\A=40.2\:\text{square units}}[/tex]

Step-by-step explanation:

The irregular shape's area consists of the sum of the areas of all the shapes that make it up.

Area of pink triangle: [tex]\frac{1}{2}\cdot 3 \cdot 3=4.5[/tex]

Area of purple square: [tex]3^2=9[/tex]

Area of green quadrilateral: [tex]3\cdot 2.9=8.7[/tex]

Area of blue triangle: [tex]\sqrt{10.25(10.25-8.5)(10.25-6)(10.25-6)}=17.99989[/tex]

Therefore, the area of the irregular polygon is [tex]4.5+9+8.7+17.99989\approx \boxed{40.2\:\text{square units}}[/tex].

The perimeter of the irregular polygon consists of certain shred sides from the four polygons that make up:

[tex]p=3+3+3+4.2+3+6+6=\boxed{28.2\:\text{units}}[/tex]

0.5 (7d+4) = 7 - 1.5d

Answers

0.5 times 7d equals 3.5d and 4 times 0.5 equals 2

3.5d+2= 7-1.5d

Then add the 1.5d to 3.5d, subtract the 2 to the 7

5d= 5

Divide the five from 5d to 5

d= 1

Someone please help ASAP, will give BRAINLIEST to someone who actually gives a accurate answer

Answers

Answer:

its 49 hope i helped you god bless

Step-by-step explanation:

helppppp pleaseeee!!!

Answers

Answer:

hahahahahhahshahahajahjajajajajahakagajagay2vrhek3

Answer:

Shape B is 4 times the size of Shape A and is reflected over the x-axis. It is also shifted 1 to the right.

A coaster is designed to hold 2 different drinks. Find the are of the coaster. Round your answer to the nearest hundredth.

Answers

Answer:

You will save points if you try to solve it urself first Lol

22.065

Explanation: 5x3=15

A=1.5x1.5x3.14

2.25x3.14

7.065

15

——————-

22.065in2

Answer 22 in rounded or 22.065 in
Area of a rectangle is 5 x 3 = 15 in
Area of the circles is 3.14 x 1.5 x 2 =7.065
Finally 7.065 + 15 = 22.065 squared in

Needing help on this?

Answers

Answer:

9/10-0.9-90%

The Explanation

9÷10= 0.9

0.9=90%

Which equation results from adding the equations in this system?
-2 x + y = 8. 5 x - y = -5.

7 x = 13
7 x = 3
3 x = 3
3 x = 13

Answers

Answer:

i dont know

i am only a kid

but it is 100000000000000

hehe

-2x + y = 8
5x - y = -5
Add regularly
-2x + 5x = 3x
y + (-y) = 0
8 + (-5) = 3

Solution: 3x = 3

Antonio is in a bowling league. His goal is to score an average of at least 100 points per game. His scores so far are 105,95,97,82, and 110. How many points can Antonio score in his next game to reach his goal? Show your work.

PLS HELP I WILL GIVE BRAINLY!

Answers

He need to score a 67 to get to his goal hope I helped you out sorry if I get it wrong for you

A rectangle is 1/2 feet long and 3/4 feet wide.



What is the area of the rectangle?



Enter your answer as a fraction in simplest form by filling in the boxes

Answers

Answer:

The answer is 3/8ft^2

Step-by-step explanation:

Hope this helped and have a great day!

1/2= 0.5
3/4=0.75




so after you have them in decimal form you can multiply them, to get 0.375.



0.375 as a fraction in simplest form is 3/8



sorry if this is wrong

helppppp please i reallly need it

Answers

Answer:

a. a

b. c

Step-by-step explanation:

a. 7(7 + 2)

49 + 14

b. 3(8 - 5)

24 - 15

I believe that the answer is B

The frequency table shows the results of a fair number cube rolled 40 times.

Face Frequency
1 5
2 9
3 2
4 8
5 12
6 4
Find the experimental probability of not rolling a 6.

Answers

Answer:

11/12 ratio for not rolling a six.

Step-by-step explanation:

There are 12 numbers and only 1 time of the 12 did they roll a 6.

11/12 theres only 12 numbers and u need 1 theres a 1 in 12 chance and just subtract 1 from 12 and theres your answer 1/11 chance

Please help me I don’t know it. Can I get an step by step explanation please?

Answers

Answer:

The answer is no

Step-by-step explanation:

Even though there are 8 pieces its not even

Pls let me know if the answer is correct or not

The answer is no
I hope you get this right

Your family packs a cooler with snacks and drinks for the trip, but stops for two meals on the way. If there are 4 people in your family, and each person spends 6.50 on each meal, what is the total cost of meals on the way to Arizona?

Answers

answer: $52.00

work:
4 people
$6.50 per person
2 times

so 4(6.50) = $26.00

that means one time that they went to eat was $26

but since they went twice, multiply that by two to get $52.00

Answer:

52

Step-by-step explanation:

4x 6.5= 26

26 x 2 = 52

6. There are 16,709 planks on the rope bridge. If Horton crosses 7,012 planks before the bridge starts to break, how many planks are left?

Answers

Answer:

9697

Step-by-step explanation:

16,709-7012=9697

The answer is:9,697 I did I the math in my head lol

I NEED HELP ASAPPPPPPPP

Answers

the value of x is 3 because each big block is 1 x and there is a total of 3 big boxes
Put the block in the box an boom
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