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
Assoli18 [71]
3 years ago
8

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3. Which statements apply to the enlargements

? Select three options.
Mathematics
1 answer:
stepladder [879]3 years ago
8 0

Answer:

-The area of the second enlargement is 1,944 square inches

-The area of the second enlargement is (3 squared) squared times the original area.

-The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

<u><em>The complete question is</em></u>

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.

A rectangle with length 6 inches and width 4 inches is enlarged twice.

Which statements apply to the enlargements? Select three options.

-The area of the first enlargement is 72 square inches.

-The area of the second enlargement is 1,944 square inches.

-The area of the second enlargement is (3 squared) squared times the original area.

-The area of the second enlargement is 3 times the area of the first enlargement.

-The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor.

<u>Verify each statement</u>

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

so

<em>First enlargement</em>

Multiply the original dimensions by a scale factor of 3

Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches

The area of the first enlargement is

18(12)=216\ in^2

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches

The area of the second enlargement is

54(36)=1,944\ in^2

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is 24\ in^2

The area of the second enlargement is  1,944\ in^2

so

[(3^2)]^2(24)=1,944\ in^2

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

3(216)=648\ in^2

so

648\ in^2 \neq 1,944\ in^2

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

\frac{216}{24}=9

You might be interested in
HhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeelpppPP!!!!!!!!<br><br> pls.
soldi70 [24.7K]
N = 2
M + 5

Hope that helped :)
3 0
3 years ago
Am i correct?? <br><br>-- &gt; if i am wrong. show details on why.
Anna35 [415]

Answer:

Sorry to say that you are wrong,it should be the last choice

NP of the first triangle is 36,and it touches MP,and 36 is bigger than 33.Although it looks like same,it is not really the same.

Hope that helps.:)

8 0
3 years ago
Read 2 more answers
Help!!!! f(x)=10x+3 g(x)= -7x-4
Gelneren [198K]

Answer:

8x + 7

Step-by-step explanation:

8 0
3 years ago
What’s the slope? <br> 50 points!! Please help
KengaRu [80]

Answer:

6

Step-by-step explanation:

slope is rise/run

to get from -1 to 5 is 6 points

y axis to 1 is 1 point

6/1=6

5 0
2 years ago
The edge of a cube is 4 inches. The area of a cross section perpendicular to one face is ___square inches, and its perimeter is_
diamong [38]
Try 8 and 12.......................................

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the radius of a circle with an area of 50.24 cubic inches? Use 3.14 for pi. Enter your answer in the box.
    15·1 answer
  • Find the length of each segment ​
    6·1 answer
  • What is the area of the hexagon below?<br><br><br><br> 12 m2<br> 18 in2<br> 24 in2<br> 48 in2
    11·1 answer
  • 21 POINTS<br> Does anyone know this I’m super bad at math
    13·2 answers
  • SOMEONE HELP ME PLEASE
    13·1 answer
  • Which estimate best describes the area under the curve in square
    14·1 answer
  • ¿Cuál es la medida del ángulo x?<br> A.-130°<br> B.-100°<br> C.-50°<br> D.-40°
    15·1 answer
  • In a three digit number, the tens digit is thrice the unit digit and hundred’s digit is
    15·1 answer
  • morgan wants to cover a brick in cloth to make a doorstop. the brick measures 8 inches, by 3 and a half inches how much cloth wi
    8·2 answers
  • <img src="https://tex.z-dn.net/?f=3%5E%7B2x%2B1%7D%20-4.9%5E%7Bx%7D%20%3D-9" id="TexFormula1" title="3^{2x+1} -4.9^{x} =-9" alt=
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!