1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex
3 years ago
14

Polygon F has an area of 36 square units. Aimar drew a scaled version of Polygon F and labeled it Polygon G. Polygon G has an ar

ea of 4 square units. What scale factor did Aimar use to go from Polygon F to Polygon G?
Mathematics
2 answers:
Ne4ueva [31]3 years ago
7 0

Answer:

The answer is 1/3.

Step-by-step explanation:

The ratio between two areas is:

R_{area}=A(G)/A(F)=1/9\\

If the ratio between ares 1/9, the ratio between polygons will be square root of 1/9. Then;

R_{pol}=\sqrt{R_{area}} =\sqrt{1/9} =1/3

Free_Kalibri [48]3 years ago
4 0

Answer:

1/3

Step-by-step explanation:

The area of Polygon GGG is \dfrac19  

9

1

​  start fraction, 1, divided by, 9, end fraction the area of Polygon FFF.

Each side of Polygon FFF was multiplied by a certain value, known as the scale factor , to result in an area that is \dfrac19  

9

1

​  start fraction, 1, divided by, 9, end fraction the area of Polygon FFF.

[Show me an example of how scale factor affects area]

\dfrac1{10}  

start fraction, 1, divided by, 10, end fraction

 

 

\begin{aligned} A &= \left(l\times\dfrac1{10}\right)\times\left(w\times\dfrac1{10}\right) \\ \\ A&= l\times w\times\dfrac1{10}\times\dfrac1{10} \\ \\ A&= lw \times \left(\dfrac1{10}\right)^2\end{aligned}  

 

 

 

 

 

 

 

 

\dfrac1{10}  

start fraction, 1, divided by, 10, end fraction\left(\dfrac1{10}\right)^2  

 

left parenthesis, start fraction, 1, divided by, 10, end fraction, right parenthesis, start superscript, 2, end superscript

Hint #22 / 3

The area of a polygon created with a scale factor of \dfrac1x  

x

1

​  start fraction, 1, divided by, x, end fraction has \left(\dfrac1{x}\right)^2(  

x

1

​  )  

2

left parenthesis, start fraction, 1, divided by, x, end fraction, right parenthesis, start superscript, 2, end superscript the area of the original polygon:

\left(\text{scale factor}\right)^2=\text{fraction of the area the scale copy has}(scale factor)  

2

=fraction of the area the scale copy hasleft parenthesis, s, c, a, l, e, space, f, a, c, t, o, r, right parenthesis, start superscript, 2, end superscript, equals, f, r, a, c, t, i, o, n, space, o, f, space, t, h, e, space, a, r, e, a, space, t, h, e, space, s, c, a, l, e, space, c, o, p, y, space, h, a, s

The area of Polygon GGG is \dfrac19  

9

1

​  start fraction, 1, divided by, 9, end fraction the area of Polygon FFF. Let's substitute \dfrac19  

9

1

​  start fraction, 1, divided by, 9, end fraction into the equation to find the scale factor.

\left(\dfrac1{?}\right)^2=\dfrac19(  

?

1

​  )  

2

=  

9

1

​  left parenthesis, start fraction, 1, divided by, question mark, end fraction, right parenthesis, start superscript, 2, end superscript, equals, start fraction, 1, divided by, 9, end fraction

The scale factor is \dfrac13  

3

1

​  start fraction, 1, divided by, 3, end fraction.

Hint #33 / 3

Aimar used a scale factor of \dfrac13  

3

1

​  start fraction, 1, divided by, 3, end fraction to go from Polygon FFF to Polygon GGG.

You might be interested in
marissa got an 85% on her math quiz. She had 34 questions correct. how many questions were on the quiz?
Sav [38]

Answer: 40 questions I think

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help! D: (taking a quiz pls hurry)
Nina [5.8K]
I think it’s a and gl on ur quiz
5 0
3 years ago
What n+5n in simplest form
Alisiya [41]
N+5n in it simplest form is 6n if the variable is alone it counts as 1
8 0
3 years ago
Read 2 more answers
If 2+12=18, find the value of 3−13.
mojhsa [17]

Answer:

-10

Step-by-step explanation:

3-13=-10

6 0
3 years ago
Read 2 more answers
Plz help I'm halfway through the lesson​
Solnce55 [7]
3.5555555556 / the third one
5 0
3 years ago
Read 2 more answers
Other questions:
  • Question 9 (3 points)
    8·2 answers
  • What is the slope of the line 5x-2y=10​
    8·1 answer
  • What is the percentage of sugar in the syrup made of 10 kg of water and 5 kg of sugar?
    6·1 answer
  • Solve:<br><br> (2.5x10^6) x (3x10^6)<br><br> (1.1x10^7)/(1.2x10^7)
    5·1 answer
  • Help me !!!!!!!!!!!!!!!!
    6·2 answers
  • What is the solution to the equation 1/4x- 1/8=7/8+1/2x
    14·1 answer
  • Solve the system using the elimination method.
    13·1 answer
  • You make 24 cookies using 2 cups of sugar
    14·2 answers
  • 6 to the negative 4th power times 6 to the 7th power ​
    7·1 answer
  • Please look at the picture for the question
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!