Mathematics High School

A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle.

True or false??

Answers

Answer 1

Given:

The given statement is "A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle."

To find:

Whether the given statement in true or false.

Solution:

Area of circle is

[tex]A=\pi r^2[/tex]

Where, r is the radius of the circle.

Let [tex]r_1[/tex] be the radius of the original circle. So, the area of the circle is

[tex]A_1=\pi (r_1)^2[/tex]

The circle is dilated by a scale factor of 1.5 to create a new circle. So, the radius of the new circle is:

[tex]r_2=1.5r_1[/tex]

The area of the new circle is

[tex]A_2=\pi (r_2)^2[/tex]

[tex]A_2=\pi (1.5r_1)^2[/tex]

[tex]A_2=2.25\pi (r_1)^2[/tex]

[tex]A_2=2.25A_1[/tex]

The area of the new circle is 2.25 times the area of the original circle.

Therefore, the given statement is false.

Related Questions

find the area plz and thank u have explanation

Answers

Step-by-step explanation:

a pentagon is 5 equilaterial triangles meaning you would use the formula of area of a triangle and multiply that by 5.

422.5m^2 is the answer

39)117
What is the answer

Answers

Answer:

the answer of this question is 1/3

39/117 = 1/3

Help I’ll give out brainliest pls dont answer if you don’t

Answers

Answer:

8x-8=16 is the answer after combining like terms

Answer:

x=3

Step-by-step explanation:

8x-8=16

8x=24

x=3

:)

The equation X- 6x 72 has a solution between 4 and 6
Use a trial and improvement method to find this solution
Give your answer correct to 1 decimal place,
You must show all your working,
On the same line as your final answer you must write "to 1 decimal place".

Answers

Answer:

Since the sign of the equation changes from positive to negative when evaluating from 8.4 to 8.3, then x = 8.3 seems to be a reasonable value. Finally, the solution to 1 decimal place is:

x = 8.3

321,000,000 in scientific notation

Answers

Answer:

3.21 x 10^8

Step-by-step explanation:

Answer:

3.21 × 10^8

Step-by-step explanation:

I hope it helps ❤

Researchers were investigating whether there is a significant difference between two medications, R and S, designed to reduce fleas found on cats. From a sample of 300 cat owners, the researchers randomly assigned 150 cat owners to use medication R on their cats and the remaining cat owners to use medication S. For the cats using medication R, 88 percent had no fleas. For the cats using medication S, 90 percent had no fleas. Which of the following is the most appropriate method for analyzing the results?

A two-sample z -test for a difference in population proportions

A two-sample z-test for a difference in sample proportions

A one-sample z-test for a sample proportion

A one-sample z-test for a population proportion

A one-sample z-test for a difference in sample proportions

Answers

Answer:

A) A two-sample  z -test for a difference in population proportions

Step-by-step explanation:

To determine whether a difference in proportions is significant, the two-sample z-test for a difference in population proportions is the most appropriate method for the analysis.

The most appropriate method for analyzing the results is A. A two-sample z-test for a difference in population proportions.

What is the hypothesis?

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter.

In this scenario, we have two different treatments (medication R and S) applied to two separate samples (150 cat owners each) and we want to determine if there is a significant difference in the proportion of cats with no fleas between the two groups.

This is a classic scenario for a two-sample z-test for a difference in population proportions, which tests the hypothesis that the difference in proportions between two independent populations is equal to zero.

Thus, a two-sample z-test for a difference in population proportions.

Hence, the correct answer would be option (A)

To learn more about the z-test statistic click here:

brainly.com/question/29692242

#SPJ6

What is the value of x?​

Answers

Answer:

25

Step-by-step explanation:

10. Square is a
a. Rectangle
b. Rhombus
c. Both
d. None of these​

Answers

Answer:

d. None of these​

Hope it helps

Have a great day : )

Answer:

Square is a rhombus. (option b)

Find the equation of the line shown

Answers

Answer:

x = 2 & y = 8

And this means-

x+y=10

Note:- These type of questions can have infinite solutions

Answer:

y=x+6

Step-by-step explanation:

point a is (3,1) and is dilated by a scale factor of .5,? what is A is it an enlargement or reduction?​

Answers

Answer:

Step-by-step explanation:

what? Write your question a lil clearly pls!

A 14 V battery powers the headlights of a car. What is the resistance of the headlights if they draw 3.0 A of current when turned on?

Answers

9514 1404 393

Answer:

  4 2/3 ohms

Step-by-step explanation:

The resistance is the ratio of voltage to current.

  R = V/I

  R = (14)/(3) = 4 2/3 . . . ohms

Write the equation of each line in slope-intercept form and identify the slope. 4x=2+y

Answers

Answer:

y = 4x - 2

Step-by-step explanation:

Given: 4x=2+y

First, subtract 2 on both sides to isolate out y. (Slope-intercept form is y=mx+b)

Once subtracted, you get: 4x-2=y

Rearrange it, and you get: y=4x-2




13. Tikboy earns P 320 a day. This is 4% of her monthly income. How much is her monthly incom
a. 800
b. 80
c. 8,000
d 80,000
​

Answers

Answer:

b is the answer okkkkkkkkkkkkkkkk

320 4%
X 100%
X= 320•100/4
X=8,000

Help!please do this fast!!!

Answers

Answer:

The ordered pair works for the first equation on the top, but not the second equation on the bottom.

Step-by-step explanation:

You have to plug in the x and y values into the equations:

x - 2y = -6

2 - 2(4) = -6  

That equation works.

...now for the next one...

3x + 2y = 12

3(2) + 2(4) = 12

That equation doesn't work.

Hope this helps!

It is not because when you plug x=2 and y=4 into the second equation, it is not a true statement. In order for the ordered pair to apply to the system, there needs to be a true statement for BOTH equations not just the first one.

Observe:

2-2(4)=-6
-6=-6 this is a true statement

3(2)-2(4)=12
6-8=12
-2≠12 this is a false statement

Therefore the solution 2,4 doesn’t apply to the system since it only applies to one of the equations

Please help me in number 34 please!!!!

Answers

Answer:

D

Step-by-step explanation:

use math wwwway , it gives ypu the answer and explenation

Can someone give me the answer please it would mean a lot!

Answers

Answer:

It can be written as:

(9m)(9m)(9m)(9m)

Step-by-step explanation:

Annual sales for a company are $155,000 and increases at a rate if 8% per year for 9 years

Answers

8% of 155,000 = 12,400
155,000 + 12,400 = 167,400

- this is the rate for one year, find 8% of 167,400 and use addition to add your answer to 167,400 find the cost of the 2nd year, keep doing this until you have reached 9 years

The value of annual sales in 9 years is  $309,845.72.

What is the value of annual sales in 9 years?

In order to determine the annual sales of the company in 9 years, the formula to be used is:

FV = P (1 + r)^n

Where:

FV = Future value P = Present value R = interest rate N = number of years

$155,000 x (1.08)^9 = $309,845.72

To learn more about future value, please check: https://brainly.com/question/18760477

what is the expression below?
26 + 67 + 3x2³

Answers

Answer:

24x+93

That's the answer to the equation that was what you were asking for right?

21. Which equation best represents the line of regression in the following
scatter plot?
O A) y = 2x + 1
O B) y = -2x + 1
O C) y = -1/2x + 3
OD) y = x + 2x + 4

Answers

Answer:

D

Step-by-step explanation:

factor the polynomial​

Answers

Answer:

Step-by-step explanation:

[tex]6a^2-13ab-5b^2\\ \\ 6a^2+2ab-15ab-5b^2\\ \\ 2a(3a+b)-5b(3a+b)\\ \\ (2a-5b)(3a+b)[/tex]

Maria is saving for a scooter that costs $170. She has $54 already. She gets an allowance of $8 each week. How many weeks w will it take for Maria to save at least enough money to buy the scooter? Write an inequality to represent the situation.

Answers

21 weeks and then she will have saved at least enough money to buy it .

Ashley is deciding between two jobs.
Job A pays $2000 a month with a
monthly raise of $85. Job B pays $2000
a month with a monthly raise of 4%.
a. Write a function to represent the
monthly salary for job B.

Answers

Answer:

job A because 4% of 2000 is 80 and job A is 5 dollars extra

Solve 3[-x + (2x + 1)] = x - 1.

Answers

Answer:

x=-2

Step-by-step explanation:

distribute 3

solve

The answers are
A. 1/3 cm/s
B. 1/2 cm/s
C. 2/3 cm/s
D. 3/2 cm/s

Please help!!

Answers

Answer:C

Step-by-step explanation:

C. 2/3 cm/s

I NEED HELP OW RN rn please

Answers

Answer:

(4,10)

Step-by-step explanation:

Well, you just count each unit coming from the x-axis up and then do the same for the y axis going to the right. You can also see that the graph is counting by 2 if you look at the "O" coordinate

HELP I NEED HELP ASAP

Answers

Answer:

I get Answer c x=6 seconds

Jason buys lunch. For himself and his friend. He buys 2 ​burgers, 2 pretzel​s, and 2 shakes. How much did spend on ​?

Answers

Answer:

How much were each?

Step-by-step explanation:

what does 4m^2 +5m if m=-2 equal?

Answers

Answer:

-26

Step-by-step explanation:

tell me if im right and please brainliest

100 POINTS AND BRAINLIEST! Explain your answer PLEASE!

Answers

Answer:

27000

Step-by-step explanation:

I = P×R×T

=2000×25/10×5

=25000

AMOUNT= P+I

=2000+25000

=27000

Compound interest:-

P(1+r)^t2000(1+0.025)⁵2000(1.025)⁵2000(1.314)2628$

Total:-

2000+2628=4628$

Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $3. Megan pays the cashier $40 and gets $4 in change. Which equation could be used to find the cost, n, of one necklace?

Answers

Answer:

8.3

Step-by-step explanation:

40-4=36

3x3=9

36-9=25

25/3 = 8.3

x=7

Step-by-step explanation:

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