An architect increases the radius of a circle window by 20 percent. By what percent
did the area of the circle window increase?

Answers

Answer 1

Answer: 44%

Step-by-step explanation:

For a circle of radius R, the area is written as:

A = pi*R^2

Where pi = 3.14

If we increase the radius by 20%, the new radius will be:

R´ = R + 0.20*R = 1.20*R

The new area will be:

A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2

   = 1.44*pi*R^2

And pi*R^2 = A, the original area, then_

A´ = 1.44*A = A + 0.44*A

This means that the percentage in which the area increased is:

0.44*100% = 44%

Answer 2

Answer:

Step-by-step explanation:

For a circle of radius R, the area is written as:

A = pi*R^2

Where pi = 3.14

If we increase the radius by 20%, the new radius will be:

R´ = R + 0.20*R = 1.20*R

The new area will be:

A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2

= 1.44*pi*R^2

And pi*R^2 = A, the original area, then_

A´ = 1.44*A = A + 0.44*A

This means that the percentage in which the area increased is:

0.44*100% = 44%


Related Questions

Help me out please I’m kinda struggling with this

Answers

Answer:

Think of a =1 and b=3

All three choices are false

Step-by-step explanation:

Answer:

Step-by-step explanation:

a is less than b in all the cases... if a or b were below zero... it might make a difference.. but b/c they are both positive.. the abs signs make no difference

all the answers are false

y = a(b), a represents

Answers

Answer:

The equations are x=a and y=b.

The graph of x=a is a line parallel to y-axis and y=b is a line parallel to x-axis.

∴ the angle between them is 90o, i.e. they intersect.

So, the equations are consistent.

Now solving simultaneously, the solution is (a,b).

So, the point of intersection is (a,b).

Hence, option D is correct.

D is the right answer

What is the sum of the fractions? Use the nurnber line and equivalert fractions to help find the answer.
o-1
o

Answers

Answer:

-3/4

Step-by-step explanation:

-5/4 + 2/4 = -3/4

Hope this helps :)

Instructed to give 300mg the medication is supplied 200mg 5 ml how much do you give

Answers

Answer:

200mg is in 5 ml. So how much is in 1 ml? 200÷5=40mg per ml. 300÷40=7.5ml

Barry's deck of cards contains 40 blue cards and 70 red cards Max deck of cards contains the same number of blue cards but the ratio of blue cards to red cards is not 8.9 how many total cards does Max deck of cards contain

Answers

Answer:

95

Step-by-step explanation:

If the ratio is

8 :  9

and you know that there are 40 blue cards, than multiply the ratio by 5

8  ⋅  5 : 9  ⋅  5

40  :  45

If Max has 40 blue cards, he will have 45 red cards. Therefore, he has  40  +  45  =  95  cards in total.

#5 Test question 7th grade math

Answers

Answer:

0.85p and p - 0.15p are right

4/5+5/50

helllppppp pleaseeee

Answers

Answer:

9/10

Step-by-step explanation:

you can only add fractions when the denominator is the same, so u either have to multiply or divide a fraction. In this case, we'll multiply 4/5 with 10/10 so that the denominator will be the same as 5/50, and so that the value, 4/5(10/10), would still equal 4/5

4/5(10/10) + 5/50

40/50 + 5/50

45/50

simplify it

9/10

6. 1350 = 5 = find the quotient ​

Answers

Answer:

this question is of high school or collage

choose the numerical expression that represents multiplying the sum of 159 and 833 by 6​

Answers

Answer:

(159+833)*6 = 5952

Step-by-step explanation:

(159 + 833) * 6

= 992*6 = 5952

what is the final cost of a book priced at $10.00 with a tax rate of 5%?

Answers

Answer:

10.50

Step-by-step explanation:

5% of 10 is 0.5

0.5+10=10.50

Answer:

The answer is $10.50

Step-by-step explanation:

5% of $10 is 50cents so you add .50 to 10 and get $10.50

What is corollary to triangle sum theorem?

Answers

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. Triangle Angle-Sum Corollaries: The acute angles of a right triangle are complementary. Corollary: a theorem in which the proof follows directly from another theorem.

Answer:

A corollary to a theorem is a statement that can be proved easily by using the theorem. A useful corollary to the Triangle Sum Theorem involves exterior angles of a triangle. ... The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

A researcher claims that an ancient scroll originated from Greek scholars in about 500 BCE. A measure of its carbon-14 decay rate gives a value that is 89%% of that found in living organisms. How old is the scroll

Answers

Answer:

[tex]963.34\ \text{years}[/tex]

Step-by-step explanation:

[tex]t_{1/2}[/tex] = Half life of carbon = 5730 years

[tex]\dfrac{N}{N_0}[/tex] = Decay rate = [tex]89\%=\dfrac{89}{100}[/tex]

Duration of time passed is given by

[tex]t=t_{1/2}\dfrac{\ln\dfrac{N}{N_0}}{\ln\dfrac{1}{2}}\\\Rightarrow t=5730\times\dfrac{\ln\dfrac{89}{100}}{\ln\dfrac{1}{2}}\\\Rightarrow t=963.34\ \text{years}[/tex]

The scroll is [tex]963.34\ \text{years}[/tex] old.

What is this? Please answer with an explanation

Answers

Yes if you plug in -7 for x the answer comes out to be -5

Find the distance from point A(15,−21) to the line 5x+2y = 4. Round your answer to the nearest tenth.

Answers

Answer:

5.8

Step-by-step explanation:

If done on graph, just subtract x value of point A with x value of the line when its y value is -21.

If done algebraic, then plug in -21 into the y value for 5x+2y=4, then take the answer to x value (in our case 9.2) and subtract that from 15.

Tony and Ricky spend a certain amount of money from their accounts each week at a pet shelter.

The table shows the relationship between the amount of money (y) remaining in Tony's account and the number of weeks (x):

Function 1:
Number of Weeks
(x) Amount Remaining (dollars)
(y)
1 30
2 24
3 18
4 12

The equation shows the relationship between the amount of money, y, remaining in Ricky's account and the number of weeks, x:

Function 2:
y = −7x + 30

Which statement states and explains which function shows a greater rate of change?

a. Function 1, because Tony spends $6 each week and Ricky spends −$7 each week

b. Function 2, because Ricky spends $7 each week and Tony spends $6 each week

c. Function 1, because Tony spends $18 each week and Ricky spends $23 each week

d. Function 2, because Ricky spends $30 each week and Tony spends $18 each week

Answers

Answer:

No its not a

Step-by-step explanation:

what is the answer because a is not right. I did the quiz and got it wrong

Answer:

it is answer b.  

pls help asap no trolls!!

Answers

Answer:

The answer to this is SAS

The equation y = 10x describes the amount of money Serena earns, where x is the number of hours she works and y is the amount of money she earns.
The table shows the amount of money Christine earns for different numbers of hours
worked.

Christine's Earnings
Time (h):
3 5 8 10
Money earned:
60 100 160 200

(a) How much money does Christine earn per hour? Show your work.

(b) Who earns more per hour? Justify your answer.

(c) Draw a graph that represents Christine's earnings over time in hours. Remember
to label the axes.

I WILL GIVE BRAINLIEST IF THEY ARE CORRECT AND ALL ANSWERS WERE ANSWERED!!!

Answers

Answer : Answer:

a) $10 per hour

b) Sandra

Step-by-step explanation: he equation y 10x describes the amount of money Sandra earns, where x is the number of hours she  works and y is the amount of money she earns

The table shows the amount of money Susan cams for different numbers of hours worked

Susan's Earnings

Time (h)           Money Earned

5                              40

8                              64                

10                             80

(a) How much money does Sandra eam per hour? Show your work

(b) Who earns more per hour? Justify your answer

Answer:

a)

y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).

y = 10x

y = 10(1)

y = 10

$10 is Sandra's hourly rate.

b)

To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.

5 hours = $40 so per hour is 40/5 = 8

8 hours is 64, so per hour 64/8 = 8

10 hours is 80, so 80/10 = 8

The table is justified at $8 per hour.

We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.

Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D

Answers

Answer:

1, 2, 3

Step-by-step explanation:

Solve the inequality for n.

Divide both sides by 4.

4n < 16

4n/4 < 16/4

n < 4

Any number less than 4 is a solution. Now we look at the numbers in the set.

The numbers 1, 2, 3 are solutions.

1 + 4.25n + 32p – 3 + (–2p) + 54n=

Answers

Answer:

58.25n+30p-2

Step-by-step explanation:

Answer: I got 233n + 120p - 8

 ———————————————

        4    

Step-by-step explanation:

a mail courtier charges a base fee of $6.95 plus $9.50 per package being delievered. If x represents the number of packages delievered, which of the following equations could be used to find y, the total cost of mailing packages?

Answers

Awnser/The fixed fee is represented by "5.75".
Step-by-step explanation:
In this function, the part that represents the fixed fee is the "5.75", this part is called interception or origin, which is a value that stays the same regardless of the number of pounds. Unlike the "4.99X" part, which is going to change depending on the number of pounds. The "5.75" part is never changing, it's a value that always will be charged to the payment.

Ben, Mingli and Samy shared $180. Ben received $45, Mingli received $63 and Samy received the rest. What percentage of the money did
Samy receive?

Answers

Samy received $72 and 72/180 is 40% i believe

Identify the expressions for which limits exist.

Answers

The first and last expressions are identified as a limit that exists.

What is a limit?

'In Mathematics, a limit is defined as a value that a function approaches the output for the given input values.'

According to the given problem,

For expression 1,

     [tex]\lim_{n \to4}\frac{x^{2}-x-12 }{2-x}[/tex]

⇒ [tex]\lim_{n \to4} \frac{x^{2}-4x+3x-12 }{4-x}[/tex]

⇒ [tex]\lim_{n \to4}\frac{-x(4-x)-3(4-x)}{4-x}[/tex]

⇒ [tex]\lim_{n \to4}\frac{(4-x)(-x-3)}{4-x}[/tex]

⇒ [tex]\lim_{n \to4 }(-x-3)[/tex]

Now, we put the value of x as 4

⇒ - 4 - 3

= -7

Therefore, the limit exists.

For the last expression,

    [tex]\lim_{x \to 2} \frac{x^{2}+3x-10 }{x^{2} -4}[/tex]

⇒ [tex]\lim_{x \to 2} \frac{x^{2}+5x - 2x-10 }{(x+4)(x-4)}[/tex]

⇒ [tex]\lim_{x \to2} \frac{x(x+5) -2(x+5)}{(x+4)(x-4)}[/tex]

⇒ [tex]\lim_{n \to 2} \frac{(x+5)(x-2)}{(x+4)(x-4)}[/tex]

Now, putting the value of x = 2 in the expression,

⇒ (2+5)(2-2) / (2+4)(2-4)

⇒ 7*0 / 6*(-2)

= 0

Therefore, the limit exists.

For the other expressions, we cannot factorize the numerator or the denominator to cancel out the denominator because of which if we put the values of x directly into the denominator without cancelling it out, the denominator would be zero, which means infinity because zero in the denominator of a fraction means infinity or undefined or does not exist.

Hence, we can conclude that expressions 1 and 6 are limits that exist.

Learn more about limits here: https://brainly.com/question/13100668

#SPJ2

A student wants to find point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4. Point A is at –6 and point B is at 2. The student’s work is shown.

C = (three-fourths) (2 minus (negative 6)) + (negative 6)
C = (three-fourths) (8) minus 6
C = 6 minus 6
C = 0
Analyze the student’s work. Is the answer correct? Explain.

No, the student should have added 3 + 4 to get the total number of sections, and used the fraction Three-sevenths instead of Three-fourths.
No, the student should have subtracted 2 from –6 to find the distance.
No, the student should have added 2 at the end to add to the starting point.
Yes, the student’s answer is correct

Answers

Answer:

Answer is A

Step-by-step explanation:

Took on Edge 2020

The student should have added 3 + 4 to get the total number of sections, and used the fraction three-sevenths instead of three-fourths.

Given the segment partitioned in a ratio of 3:4, the total ratio is expressed as:

Total = 3 + 4  = 7

If point C is on the line segment AB, hence the point C on the line will be expressed as:

[tex]C = \frac{3}{3+4} \cdot (2-(-6)+(-6))\\C= \frac{3}{7} \cdot (2+6-6)\\C= \frac{3}{7} \cdot (8-6)\\C=\frac{3}{7} \=(2)\\C=\frac{6}{7}[/tex]

Based on the calculation, we can conclude that the student's answer is incorrect. The student should have added 3 + 4 to get the total number of sections and used the fraction three-sevenths instead of three-fourths

Learn more on midpoint here: https://brainly.com/question/5566419

Construct a Stem-and-Leaf Display?

Answers

Answer:

Hey mate here's your answer⤵️

A stem and leaf plot is a way to plot data where the data is split into stems (the largest digit) and leaves (the smallest digits). ... The stem and leaf plot is used like a histogram; it allows you to compare data. While a histogram uses bars to represent amounts, the leaves of the stemplot represent amounts.

Hope it was helpfulll

HURRY PLS ILL GIVE THE FIRST BRAINLYEST Isabella’s mom takes her and two other friends mini-golfing. The table below shows how much different things cost at the mini-golf park. Price Sheet Item Cost Adult Game $7.00 Child Game $3.50 Pirate Hat $17.25 10 Arcade Tokens $4.00 Isabella’s mom purchases 1 adult game, 6 child games, a pirate hat, and 30 arcade tokens. She has a coupon for StartFraction 1 over 10 EndFraction off the total bill. How much did Isabella’s mom spend at the mini-golf park? $31.75 $44.25 $51.53 $57.25

Answers

Answer:

yea its C

Step-by-step explanation:

he is right.

Answer:

c

Step-by-step explanation:

The random variable KK has a geometric distribution with mean 16. Which of the following is closest to the standard deviation of random variable KK ?
A. 0.0625
B. 0.9375
C. 4
D. 15.49
E. 240

Answers

Answer:

E 240

Step-by-step explanation:

Geometric Distribution mean = (1- p) / p

16 = (1 - p) / p

16p = 1 - p  ;  17p = 1 ; p = 1/17 = 0.058  

Standard Deviation = (1 - p) / p^2

= (1 - 0.058) / (0.058)^2

0.942 / 0.003364

= 280 , closest to 240

need the answer thanks!

Answers

Answer:

The sum does not exist, but if you are in a senior math class, it could be - infinity.

Step-by-step explanation:

If the sum does not have an endpoint (and it looks like it does not), then the sum really does not exist.

Consider this question.

Does the sum stop at 0 as in

50 + 40 + 32  + 24 + 16  + 8 + 0

But why not - 8 or - 16 or ...

So it is not that the sum does not exit. It is that we do not know where that stop is. Depending on your grade level, you could answer - infinity, but I doubt that is the expected answer.

The hourly wages of a sample of 130 system analysts are given below.

mean=90
mode= 103
median =104
range =18
variance= 729

Find the coefficient of variation.

a. 0.30%
b. 30%
c. 8.1%
d. 81%

Answers

Answer: b. 30%

Step-by-step explanation:

A measure of relative variability is known as coefficient of variation. It is the ratio of the standard deviation to the mean.

i.e. [tex]CV=\dfrac{\sigma}{\mu}[/tex]

Given: mean =  [tex]\mu=90[/tex]

Variance = [tex]\sigma^2 = 729[/tex]

[tex]\sigma=\sqrt{729}=27[/tex]

Now, [tex]CV=\dfrac{27}{90}=0.3[/tex]

in percent , [tex]CV= 0.3\times100\%= 30\%[/tex]

Hence, correct option is  b. 30%.

Based on the information given the coefficient of variation is b. 30%.

Coefficient of variation

Using this formula

Coefficient of variation=√Variance/Mean

Let plug in the formula

Coefficient of variation=√729/90

Coefficient of variation=27/90

Coefficient of variation=0.3×100

Coefficient of variation=30%

Inconclusion the coefficient of variation is b. 30%.

Learn more about coefficient of variation here:https://brainly.com/question/12327871

On Sunday the temperature was 52 degrees and on Tuesday it was -10 degrees. What was the difference in temperature from Sunday to Tuesday?

Answers

The difference was 62 degrees.
52 - (-10) = 62

Answer:

62

Step-by-step explanation:

The answer is 62.

Here's an example.

52 - ( -10 ) = 62

So, the difference in temperature from Sunday to Tuesday is 62.

Just to let you know.

( -10 ) - 52 = -62 ( This is not the answer )

Remember that 62 is the answer.

Hope this helps! <3

A right triangle with a leg 3mi and hypotenuse 5mi

Answers

the other side is 4 bc it’s a special right triangle
i wish you a merry christmas and a happy new year rudolph the red now reindeer had a great
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