A circular hot spring has a diameter of 96 meters. Over time, the diameter of the spring decreases by 8 meters. By how many square meters does the area of the hot spring decrease? Use 3.14 for pi.

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A Circular Hot Spring Has A Diameter Of 96 Meters. Over Time, The Diameter Of The Spring Decreases By

Answers

Answer 1

The area decreases by 1155.52 square meters

Step-by-step explanation:

What we must do is calculate the area before and after making the diameter cut.

The area of a circle is equal to:

a = pi * r ^ 2

now the diameter is equal to:

d = 2 * r

therefore r,

r = d / 2

before the cut would be

r = 96/2

r = 48

replacing in the area formula

a1 = 3.14 * 48 ^ 2

a1 = 7234.56 square meters.

after cutting the diameter decreases by 8, that is, 96 - 8 = 88, calculating the radius would be:

r = 88/2

r = 44

now calculating the new area would be:

a2 = 3.14 * 44 ^ 2

a2 = 6079.04 square meters.

now we calculate the difference

a1 - a2 = 7234.56 - 6079.04

= 1155.52 square meters

means that the area decreases by 1155.52 square meters


Related Questions

Esteban’s cat had kittens and all three of them were white kittens with blue eyes!

About `80\%` of white cats with blue eyes become deaf.

Describe a simulation that would help answer this question: What is the probability that at least two of the kittens will become deaf?

Answers

Answer: I belive the answer is 20%

Step-by-step explanation: because if the total nuber is 100% and only 80% white cats with blue eyes become deaf that means it is most likely 20%

Answer: 100%

If 80% became deaf & 2/3 is 66% then at least two of the kittens became deaf & the other one has a 20% chance to not be deaf so it might be three but its more likely & at least 2 of them are deaf

I hope this answers your question

Two months ago, the price, in dollars, of a cell phone was c.
Last month, the price of the phone increased by 10%. Write an expression for the price of the phone last month. Use c as your variable.

Answer this part:
This month, the price of the phone decreased by 10%. Write an expression for the price of the phone this month.

Answers

Answer:

c × 0.90

Step-by-step explanation:

c × 0.90, would be your answer because 10% is equal to 0.10, then you would subtract the 0.10 (10%) by 1 (100%), then multiply c times the 0.90 that you get, to get the decreased number, because you're multiplying by a decimal

whats 60 x 60 x 60 x 60 x 60

Answers

Answer:

777 600 000

Step-by-step explanation:

60 x 60 x 60 x 60 x 60 = 60 ^5 =

Answer:

777600000

Step-by-step explanation:

Brainliest please

Pls help me someone help me

Answers

Answer:

neith.They both have same amount of cheese.

Step-by-step explanation:

the only thing that changed is he added more eggs to his omelette.

Answer:

Jenny's omlet would be cheesier.

Step-by-step explanation:

This is because if he started them off equally and then added more eggs to his it would make the amount of cheese in his omlet smaller therefore Jenny's omlet would be cheesier.

Hope this helps you!

Please help with this I will give brainiest

Answers

Answer:

16 16/25

Step-by-step explanation:

Area of Rectangle = Length * Width

Answer:j answer is D or 16 16/25

Step-by-step explanation:

Formal is length times with

L times W
If you do that formal you will get the correct answer

Bye

HeLp wilL GiVe BraNIliEsT
Decide if each question is statistical or non-statistical. Explain your reasoning.

Answers

Answer:

Question A is satistical

Step-by-step explanation:

a satistical question is a question that you can answer by collecting data

sence you will need the temperatures for December for each 10 years that would be data unlike question B.

Question B: you will need to collect the warmest temperature in December from the past 10 years.

Problem:
4 × 32 + 8 ÷ 2 - (5 + 3)

Answers

Answer:

124

Step-by-step explanation:

is in the photo

i hope this helps :)

Answer:

124

Step-by-step explanation:

4 x 32 = 128

128 + 8 divided 2 - (5 + 3 )

divide 8 and 2 = 4

128 + 4 - ( 5 + 3)

add 5 + 3 = 8

128 + 4 - 8

Answer: 124

please help me asap.....................

Answers

the answer is F !!!
i hope this helps

Answer:

E

C

A

Step-by-step explanation:

sceenshot please answer it math problem

Answers

if it is a right angled triangle I would guess it to be 15 because a right angle has the right angle part the same length each side. Pls mark Brainly if I get it :)

What is the formula to solve pi from area?

Answers

Answer:

The formula to solve pi to get the area is 3.14r × 2 = Area

3.14 × (radius) × 2 = Area

The formula to solve pi from area is 3.14r x 2 = A.

I need help with this question, I've been working for a while and all of a sudden I'm stuck on this one. Please help!! Tyy

Answers

The Answer is 27 hope this helped!
I’m sure the person above me is right. The answer is 27.

negative positive or no association

Answers

Answer:

Positive association

Step-by-step explanation:

As the Temperature goes up the more money you have to spend because you pay for the electricity that produces the heat

positive association is when one varriable increases so does the other.

Positive association

HELP MEE PWEASEEE AGAINN FIRST GET BRAINLIESTT

Answers

Answer:

2,3, ans 4

Step-by-step explanation:

Divide each number by 60

120/60 = 2

180/60= 3

240/60= 4

120//60 = 2
180/60=3
240/60=4

estimate the value Square Root 48 to your best judegment and explain why.

Answers

Answer:

Step-by-step explanation:

Square Root of 48: √48 = 6.928Square of 48: 482 = 2304

Answer:

6.8 or 6.9 (Estimation).

Step-by-step explanation:

The number 48 is not a perfect square. Using the approximation approach, we can get the square root of 48. We may utilize the long division approach to get an exact result. We discover square numbers close to 48 using the approximation approach. We can see that 36 and 49 are perfect square numbers that are close to 48. 36 has a square root of 6 while 49 has a square root of 7. As a result, the square root of 48 must be between 6 and 7, and preferably closer to 7 because 48 is closer to 49. This approach simply provides an approximation. We may use the long division approach to determine a more precise decimal number for 48.

Under her cell phone plan, Piper pays a flat cost of $38.50 per month and $5 per gigabyte, or part of a gigabyte. (For example, if she used 2.3 gigabytes, she would have to pay for 3 whole gigabytes.) She wants to keep her bill under $60 per month. What is the maximum whole number of gigabytes of data she can use while staying within her budget?

Answers

Answer: 5 gigabytes

Step-by-step explanation:

Her budget is $60 and since she already spends a starting price of $38.5 you would use this equation:


60-38.5=21.5


Since you are left with $21.5 and it’s $5 per gigabyte you will use this equation:


21.5 /5= 4.3


This means she can get 4.3 gigabytes which is rounded to 5 while staying within her budget.

A Piper only use whole gigabytes, the maximum whole number of gigabytes of data use while staying within her budget is 4 gigabytes .

Let's break down Piper's cell phone plan cost:

Flat cost per month: $38.50

Cost per gigabyte: $5

Maximum budget per month: $60

Piper wants to keep her bill under $60 per month, which means the total cost (including the flat cost and data usage cost) should not exceed $60. Let's represent the number of gigabytes of data usage as "g."

Total Cost = Flat Cost + (Cost per Gigabyte ×Number of Gigabytes)

Using the given values and staying within the budget:

Total Cost ≤ $60

$38.50 + ($5 × g) ≤ $60

Now, let's solve for "g":

$5 ×g ≤ $60 - $38.50

$5 × g ≤ $21.50

Divide both sides by $5:

g ≤ $21.50 / $5

g ≤ 4.3

To know more about budget here

https://brainly.com/question/31952035

#SPJ3

(PLS HURRY)
The choices are in the second picture

Answers

2 alternate interior angles would be 1 and 7 because they are on alternate sides of the transversal, and because they are both on the interior of the 2 parallel lines.
The answer would be D) 1 and 7

NEED ASAP (WILL GIVE BRAINLIEST)

Answers

Answer:

where is the question

Step-by-step explanation:

am i missing it

We’re is the question I don’t see it

Help!!!! I don't know what to do

Answers

Ok this is easy I’ll walk you through it

So let’s find before first so we have to do
6 times 8 which gets you 48 and when you are done with that we do the cut out 2 times 4 to get 8 and then 48 -8 to get 40

Answer = 40

A car travels 18 miles per gallon of gas used. Which equation best represents the proportional relationship between the y miles that the car has traveled and the x gallons of gasoline that it has used?
y = StartFraction 18 over x EndFraction
y = 18 x
y = StartFraction x over 18 EndFraction
y = x + 18

Answers

Answer:

y=18x

Step-by-step explanation:

For every 18 miles you travel, you use 1 gallon of gas.

This should help you out Y=18x

I need help asap I need step by step pls 30 points for 1st amswer!!

Answers

Answer:

b: $19

Step-by-step explanation:

Use the price per pound to determine how much they need for each (comment if you need help with that), then add all of those together to get about $19.

Answer:

$19

Step-by-step explanation:

quantity times price per pound

ham  1/4 lb = 0.25  so 0.25($5.99)= $1.4975

turkey 1 1/2 lbs=1.5($4.99)=$7.485

RB 1lb=1($6.99)=$6.99

Bolongna 3/4 lbs=0.75($3.99)=$2.9925

add all of them together which is $18.965 but round to nearest dollar

point S is a different point on the number line.Point S and point R are the same distance from point Q Explain how to determine the location of point S on the number line.

Answers

Step-by-step explanation:

Calculate Point R's distance and then calculate Point S's distance. If they are the same, you did t! If they are not, recalculate.

(System word problems, 13 points)
Basketball tickets were $5 for floor seats
$2 for the grandstand seats
I’d 210 people attended and paid $660, how many people bought floor seats?

Answers

Answer:

130 people's bought floor seats ...

Explanation:

→ First , we need to identify and define the unknown terms.

F: # of floor seats sold

G: # of grandstand seats sold

• F + G = 210 {210 is the total number of seats sold}

• 5F + 2G = 660 {the 5 , 2 and 660 refer to amounts of dollars} .

→ We now have two equations in two unknowns , which we should be able to solve.

→ Let's solve the first equation for G, and then substitute the value of G into the second equation , so that we have will have a single equation with only F as the unknown ...;

→ F represents the number for which we are looking: The number of floor seats sold.

Let's find numbers of people's bought floor seat:

F + G = 210

F - F + G = 210 - F

G = 210 - P

→ 2F+ 5G = 660

→ 2F + 5(210 - F) = 660

→ 2F + 1050 - 5F = 660

→ - 3F + 1050 = 660

→ - 3F + 1050 - 1050 = 660 - 1050

→ - 3F = - 390

→ F = - 390 / - 3 = 130

→ F = 130

• Hence , 130 people's bought floor seats ...

Hope this helps you :) ...

#Carry on learning# :) ...

Pls help this is due today

Answers

The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help solve the problem.  In this case, we are asked to solve for the area and we are provided with a figure that has 3 different corresponding lengths.

Moving onto the next step, we must determine what the area of the shape is. Looking at the shape, we can see as if there is a square and a triangle that have been glued together so we can find the area of each individual shape and add them up together to achieve the total area.  Let us first determine the area of the square.

Area of the square

[tex]A_{square} = side^2[/tex][tex]A_{square} = (8\ yd)^2[/tex][tex]A_{square} = (8)^2 * (yd)^2[/tex][tex]A_{square} = 64\ yd^2[/tex]

Now that we have the area of the square finished, we can move onto the next part and determine the area of the triangle.

Area of the triangle

[tex]A_{triangle} = \frac{height\ *\ base}{2}[/tex][tex]A_{triangle} = \frac{4\ yd\ *\ 8\ yd}{2}[/tex][tex]A_{triangle} = \frac{32\ yd^2}{2}[/tex][tex]A_{triangle} = 16\ yd^2[/tex]

We have finally gotten the area for both the square and the triangle which means that we can add them together and determine the total area of the figure.

Total area of the figure

[tex]A_{figure} = A_{square} + A_{triangle}[/tex]

[tex]A_{figure} = 64\ yd^2 + 16\ yd^2[/tex]

[tex]A_{figure} = 80\ yd^2[/tex]

Therefore, after finding the area for both the triangle and square aspect of the figure we were able to combine them and get the total area of the figure which turned out to be 80 yards squared.

BRAINLIEST, help, thank youu!!

What is the equivalent fraction for the following fraction using 5 as the multiplier?

3/8

A. 10/30
B. 15/40
C. 5/20

Answers

Answer: B - 15/40

Step-by-step explanation: You can simplify the answer from

3/8 x 5 = 15/40

Hope this helps ty if you do give brainliest. means alot.

Answer:

15/40

Step-by-step explanation:

Mutilpy 5 from the numerator and the demoinator

(3×5) / (8×5)

3x5 = 15

8x5 = 40

So your answer is: 15 / 40

please explain how to do all 3

Answers

This should be way more than 5 points… lol

13: circumference = 3.14*2(1.5) = 9.42 distance traveled in 1 rotation (circumference)

16/9.42 = 1.69 rotation.

14:. Find diameter from circumference. C=2pi *r
Diameter =2r
C=28
Pi=3.14

So diameter = 8.9 inches, thats the width of the ball
Then 24 feet = 288 inches
288/8.9 = 32.35 soccer balls.

15:
3.14* 2(1)= 6.28
2300/6.28=366.24

I think this is true.

(view image below) Find the mean or median of each data set as indicated

Answers

Answer: ✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                 Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ Mean = 4.8  Median = 4.5

The mean is the average. To find the mean add up all the numbers and divide by the number of numbers:

3 + 3 + 4 + 5 + 5 + 9 = 29

29 ÷ 6 = 4.8

To find the mean, keep crossing out numbers until you are left with one number (for an odd amount of numbers). When you have an even amount of numbers, keep crossing out until you are left with 2 numbers. Add those 2 numbers and then divide:

4 + 5 = 9

9 ÷ 2 = 4.5

Step-by-step explanation:

Rowena used small wooden cubes to measure the length of her foot and her hand. Her foot was 22 cubes long and her had was 15 cubes long. Which number sentence should Rowena use to find the difference between these lengths?

A. 22 + 15
B. 22-15
C. 22 x 15
D. 22 ÷ 15

Answers

A. Or B.

I picked this in one of my questions and I don’t remember which specific one but the one or other should be correct.
The answer is B, because it is asking for the difference which is subtraction.

HELP NO LINKS!!!
i need help because i dont understand it so please explain how to do that

Answers

Answer:

I think its 431.48

Step-by-step explanation:

I used a calculator lol

Sarah’s mom took 3 hours to clean, but when Sarah helped, it took them 2 hours to clean. How many hours will it take Sarah to clean herself?

Answers

Answer:

It takes them 1.875 hours.

Step-by-step explanation:

Here, the job is cleaning the house.

Mom does 1 job in 3 hours.

In 1 hour, mom does 1/3 of the job.

Dad does 1 job in 5 hours.

In 1 hour, dad does 1/5 of the job.

Mom and dad working together do the job in x hours.

In 1 hour, mom and dad together do 1/x of the job.

1/3 + 1/5 = 1/x

5/15 + 3/15 = 1/x

8/15 = 1/x

8x = 15

x = 15/8 = 1.875

Answer: It takes them 1.875 hours.

your welcome

BRAINLOEST, jelp please
Casey ran 36 feet. How many yards did Casey run?

A.3
B.8
C.12
D.4

Answers

Answer:

C. 12 yards

Step-by-step explanation:

There are 3 feet in one yard, meaning we can divide 36 feet by 3 feet per yard to get the answer.

36/3 = 12

There are 12 yards in 36 feet.

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