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.
about (BLANK) m2
Answers
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
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
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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.
sceenshot please answer it math problem
Answers
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
NEED ASAP (WILL GIVE BRAINLIEST)
Answers
Answer:
where is the question
Step-by-step explanation:
am i missing it
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
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
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
please explain how to do all 3
Answers
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.
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!
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.
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
please help me asap.....................
Answers
i hope this helps
Answer:
E
C
A
Step-by-step explanation:
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
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.
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.
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
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
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.
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.
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
180/60=3
240/60=4
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.
Help!!!! I don't know what to do
Answers
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
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%
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
(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
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# :) ...
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 HURRY)
The choices are in the second picture
Answers
(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:
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
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
I picked this in one of my questions and I don’t remember which specific one but the one or other should be correct.