if the radius of a circle is increased by 50 perent what will be the percent increase in the circumfrence

Answers

Answer 1

Answer:

50%

Step-by-step explanation:

The equation for circumference is:

[tex]C=2\pi r[/tex]

In this case, the radius and the circumference are directly proportional meaning that if the radius increases by 50%, the circumference will also increase by 50%.

Let's use some examples to prove this:

Radius : 2

Increase by 50% : 2*50%=2*(50/100)=2(1/2)=1 --> 1+2 = 3

[tex]C=2\pi r=2\pi 3=6\rightarrow 50 \ percent\ increase\ from\ 4\\C=2\pi r=2\pi 2=4[/tex]

Radius : 4

Increase by 50% : 4*50%=4*(50/100)=4(1/2)=2 --> 2+4 = 6

[tex]C=2\pi r=2\pi 6=12\pi\rightarrow50\ percent\ increase\ from\ 8\\C=2\pi r=2\pi 4=8\pi[/tex]

In both cases, when we increased the radius by 50%, the circumference also increased by 50%, proving our previous statement correct.

Therefore, when the radius of a circle is increased by 50%, the circumference will also increase by 50%


Related Questions

What is equivalent to 4x -8? a: 2 (2x - 6) b: 2 (2x - 4) c: x - 8 + 3x

Answers

Answer:

The answer is b) 2(2x-4) and c)

Step-by-step explanation:

Okay lets try a) 2(2x-6)

2 x 2x - 2 x 6= 4x-12

b) 2(2x-4)

2 x 2x - 2 x 4=4x-8

c) : x-8+3x

x+3x-8=4x-8

hurry xdd A store had apples on sale for $1.20 a pound. Joan spent $5.28 on apples. How many pounds did she buy?

Answers

Answer:

4-6 not sure where but around 4-6 maybe 5 pounds

Step-by-step explanation:

hope this helps

Answer:

Its 4.4 pounds.

Step-by-step explanation: To find the answer you would just divide the amount she spent and the price per pound.

Carla has 22% of her paycheck taken for taxes. If the amount taken for taxes is $136.40, what is the amount of Carla's paycheck before taxes are taken out

Answers

Answer:

$620

Step-by-step explanation:

How do I do number 1

Answers

Answer:

try using a graphing calculator.

Step-by-step explanation:

I know this doesn't really answer your question, but it gets you closer to the answer. Just put your problem into go-ogle, and go-ogle should spit out a graph with the answers of x and y right on it.

Answer this question please!

Answers

B is the correct answer:)

Which number is greater and by how much? 600 or 600 decreased by 20% and then uncreased by 20% of the result

Answers

Answer:

600.

Step-by-step explanation:

Hope this helps!

Really need help and ALL CAPS NO SPACES

Answers

Step-by-step explanation:

1. [tex]x+6 + 3x + 2 + 2x + 4[/tex]

Combine Like Terms:

Answer: [tex]6x+12[/tex]

G

2. [tex]6x + 4 + 7x + 1 + 5x + 7[/tex]

Combine Like Terms:

Answer: [tex]18x+12[/tex]

B

3. [tex]4x-3 + 3x + 5x - 6[/tex]

Combine Like Terms:

Answer: [tex]12x-9[/tex]

I

4. [tex]6x - 8 + 3x + 7 + 5x - 3[/tex]

Combine Like Terms:

Answer: [tex]14x-4[/tex]

H

Your code is, GBIH

Please answer. I will give brainliest.

Answers

Answer:

1/2b - 5 (the third one)

Step-by-step explanation:

"Denni is five years less..."

this tells us we will need to be subtracting five, which knocks out the other answers.

"..one-half his brothers age."

since b represents the age of his brother, one half his brothers age is 1/2b  

That leaves us with 1/2b - 5

You are given the same circumstance as in the previous problem and, once again,VW is the midsegment of RSt what is VW

Answers

Answer:

9

Step-by-step explanation:

The reason is from the triangle midsegment theorem in which the midsegment end up being half of the third side knowing that Rt is 18cm then VW is 9

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

Missing denominator = 36

Step-by-step explanation:

Let us assume that,

→ Missing denominator = x

Now we have to,

→ Find the required value of x.

Forming the equation,

→ 27/x = 3/4

Then the value of x will be,

→ 27/x = 3/4

→ 27 × 4 = 3 × x

→ 108 = 3x

→ 3x = 108

→ x = 108/3

→ [ x = 36 ]

Hence, the value of x is 36.

linear equation in point slope form for a line that passes through the point (3,2) and has a slope of -4

Answers

Answer:

  (c)  y-2 = -4(x-3)

Step-by-step explanation:

The point-slope equation of a line is ...

  y -k = m(x -h) . . . . . . line through point (h, k) with slope m

For (h, k) = (3, 2), and m = -4, the equation of the line is ...

  y -2 = -4(x -3)

If 120% is £360, what is 100%?

Answers

Answer:

300

Step-by-step explanation:

To get from 120% to 100% you divide by 1.2  360/1.2=300 :)

Andy, ben and Cathy have £177 between them. Cathy has 3 times as much as ben. andy has £12 more than ben

Answers

Andy: $45
Ben: $33
Cathy: $99

a+b+c=177
c=3b
a=b+12
b+12+b+3b=177
5b+12=177
-12 -12
-----------------
5b=165
---- -----
5 5

b=33




the temperature in Austria one morning is -5 degrees Celsius at 8:00 and increased by 2 degrees Celsius every hour until 12:00. wht will the temperature be
at 11:30​

Answers

The equation illustrates that the temperature by 11:30 am will be 2 degree Celcius.

How to solve the equation

It should be noted that there are 3 hours and 30 minutes from 8 am to 11.30 am.

Therefore, the temperature by 11:30 will be:

= -5 + 2(3.5)

= -5 + 7

=

In conclusion, the correct option is 2°.

Learn more about equations on:

https://brainly.com/question/13763238

George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He asked 500 students at his school the following questions: "Are you in the Art Club?" and "Did you get the art class you requested?" The results are shown in the table below:


Art Club Not in Art Club Total
Received art class requested 100 265 365
Did not get art class requested 65 70 135
Total 165 335 500


Help George determine if all students at his school have an equal opportunity to get into the art class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.

Answers

Answer: Not fair

Step-by-step explanation: Since the fractions and rations are unbelievably rigid, this question is no doubt going to the creaser side.

It's not right.

Students who are not already members of the art club have a better chance of receiving their preferred class assignment.

Please help all questions shown

Answers

Answer:

27. x=7/20; 28. m= 3.7; 29. a= 5.8

30. x= 6; 31.x= 46

Step-by-step explanation:

27.

[tex]x + \frac{2}{3} = \frac{9}{ 10} [/tex]

you are going to carry the 2/3 over the equal sign. This will make the 2/3 negative so...

[tex]x = \frac{9}{10} - \frac{2}{3} [/tex]

now calculate it by finding the LCM of 10 and 3 ....this will be 30....you can just multiply the 10 and 3

now

30 into 10 goes 3 times....you will multiply this 3 with the 9 to get 27

30 into 3 goes 10 times...you will multiply this 10 with the 2 to get 20

[tex]x = \frac{27 - 20}{30}[/tex]

[tex]x = \frac{7}{30} [/tex]

Hopefully you understand

28.

[tex]1.2 = m - 2.5[/tex]

[tex]1.2 + 2.5 = m[/tex]

carry the 2.5 over the equal sign to get the m by itself...this is because you are trying to find m

when the negative number goes over the equal sign it will become positive...this is why you add it to the 1.2

m= 3.7

you can do the other on your own

the error in 30 is that the 7 should not be added to the 13 but subtracted

..this is because when you carry the positive number over the equal sign it will become negative..hence you subtract it

[tex]x + 7 = 13[/tex]

[tex]x = 13 - 7[/tex]

[tex]x = 6[/tex]

and for 31...the 12 should not be subtracted but added since when it goes over the equal sign it will become positive.

[tex]34= y - 12[/tex]

[tex]34 + 12 = y[/tex]

[tex]y = 46[/tex]

I'm on a time crunch and I need to get a lot of homework done TODAY. Can someone help?

Answers

ayooo im on a time crunch too, i get you man

the complete factors are (x+11)(x-11)

(x+11) (x-11)

11 and 11 make 121

So bad at this someone help

Answers

Answer:

Volume of a cylinder : πr^2h

: π = 22/7

: r = 9

: h = 20

: 22/7 × 9^2 × 20

: 5091.4 (corrected to 1.dp )

Answer:

  5089.4 cm³

Step-by-step explanation:

You want the volume of a cylinder with radius 9 cm and height 20 cm.

Volume

The volume of a cylinder is given by the formula ...

  V = πr²h

Application

For r = 9 cm and h = 20 cm, the volume is ...

  V = π(9 cm)²(20 cm) = 1620π cm³

The value you get for this depends on the value you use for π. The attachment shows the three common choices: "π button", 3.14, 22/7.

Using the "pi button" value provided by a calculator, the volume is ...

  5089.4 cm³

<95141404393>

The difference between two numbers is 10 and their sumis four times the smaller number. Find the two numbers.

Answers

Answer:

5 and 15

Step-by-step explanation:

15+5=20

5x4=20

ion need the work js gimme the answer thanks

Answers

d because you are finding the difference

Answer:

4) Subtract 7 - 6 because is shows the difference between the two numbers.

will give brainlist plus will give brianlist plus 20 points

Answers

Answer: 8 60 70 i think if i am wrong pls let me know ty :D

Step-by-step explanation:

If there are 8 boys and 56 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Answers

Answer:

1:7 , 2:14, 4:28, 8:56

Step-by-step explanation:

Ratios act just like fractions, because of this, you can simplify ratios just as you would simplify a fraction. In addition, because they asked for the ratio of boys to girls, we know that they want the (number of boys): (number of girls)

HOPE THIS HELPS!!!

if not able to awnser say it in the comments

What is the solution to the equation
x-5/6=-1
I Enter your answer as a fraction in simplest form in the box​

Answers

Answer:

x= -1/6

Step-by-step explanation:

x-5/6 = -1

Add 5/6 to both sides

x = - 1/6

The Statue of Liberty is approximately 300 feet high, including the base upon
which the statue stands. If the base is 150 feet high, what percent of the total
height is the statue itself?

Answers

Answer:

The state itself is 50% of the total height.

Explanation:

Well, if the height including the base is 300 ft, that'd mean the total height of the statue itself is (300-150) ft = 150 ft.

Thus, it is (150/300)*100% = 50% of the total height.

You had a bag of fruit snacks that you shared with 4 friends. Each of you got at most 6 fruit snacks. The inequality x÷5≤6 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag.

Answers

Answer: The possible numbers of fruit snacks that were in the bag  is x < 18

Step-by-step explanation: Good luck :D

The graph represents a map where each unit is 0.75 miles. Use the map to answer the question. Round to the nearest hundredth, if necessary.

How many miles is the most direct path from Jim's house to the mall?

(HINT: That means when you get the length of what they're asking for, you're going to multiply it by 0.75.)

Answers

Answer:

Try 11.25 miles

Step-by-step explanation:

HELP BEFO 7 PLEASE...

Answers

160ft3

Hope this helps

Select the outlier in the data set.
then
If the outlier were removed from the data set, would the mean increase or decrease?

Answers

Answer:  Increase

====================================================

Explanation:

The set of given numbers sorts to this

11, 50, 72, 78, 80, 81, 85, 89, 94, 96, 97, 98

The majority or main cluster of the values are between 50 and 98. The outlier 11 is off on its own pretty far from the main cluster.

Let's find the mean of every value in this set. If you added up all the numbers, then you should get 931. Divide this over the number of values (12) and the mean of this set is roughly 931/12 = 77.5833

Now let's kick out the outlier 11. The 931 will drop to 931-11 = 920. Divide that new smaller sum over the 12-1 = 11 items left to get 920/11 = 83.6364 approximately.

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

To summarize so far:

old mean = 77.5833 approximatelynew mean (removed outlier) = 83.6364 approximately

We see that the mean has increased. This is because the outlier was pulling down on the mean to make it smaller than it should be. Once the outlier is out of the picture, the new mean will increase and better represent the center of the main cluster.

how to do this
y = 2x − 1
y = −4x − 7

Answers

Answer: ur answer would be 27283

Step-by-step explanation:

Because of the commutative property of multiplication, it is true that 3 4 × 4 = 4 × 3 4 . However, these expressions can be calculated in different ways even though the solutions will be the same. Below, show two different ways of solving this problem. First, show how 3 4 × 4 can be solved using repeated addition, Then, show how 4x3/4 can be solved using multiplication and division.


the main one i need help with is the multiplication

Answers

Answer:

4x3/4=3

Step-by-step explanation:

Multiplication(Do the multiplication first): 4x3/4=12/4=3

Division(Do the division first): 4x0.75=3

Hope this helped! Please give Brainliest if possible.

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