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]
2 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]2 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
carol and jada sold raffle tickets to raise money for a new playground carol sold 2045 tickets jada sold 356 more than carol how
GenaCL600 [577]
Jada sold 2401 tickets
4 0
2 years ago
Two bookstores are having a sale on comic books. Main Street Books has a deal of 10 for $5.20 and Books Galore has a deal of 6 f
gizmo_the_mogwai [7]

Answer:

Books Galore has the lowest unit price

Step-by-step explanation:

if you divide main streets books, 10 ÷ $5.20 = $1.92

Books galore : 6 ÷ $3.60 = $ 1.66

5 0
2 years ago
Jinnie makes quilts she can make 7 quilts with 21 yards of material how many yards of material would be required to make 12 quil
gladu [14]
21/7=3
3x12=36yards 

SHE NEEDS 36YARDS FOR 12 QUILTS
3 0
3 years ago
Read 2 more answers
Is 4/5 the multiple of 1/4? explain
Crazy boy [7]
4/5 is NOT a multiple of 1/4 because the denominators are not divisible by each other.
3 0
2 years ago
Read 2 more answers
Can someone give the answer
KonstantinChe [14]

Answer:

(2, -2)

Step-by-step explanation:

Given the equation

x - y = 4 ... 1

6x+y = 10 ...2

Add both expressions

x+6x = 4 + 10

7x = 14

x = 14/7

x = 2

Substitute x = 2 into equation 1;

From 1;

x - y = 4

2 - y = 4

y = 2-4

y = -2

Hence the solution to the system of equation is (2, -2)

4 0
3 years ago
Other questions:
  • For f(x)=0.01(2)power of x, find the average rate of change from x=3 to x=8
    10·1 answer
  • In an orchard, for every 5 green apples there are 2 red apples. What is the ratio of green apples to red apples?
    9·1 answer
  • PLEASE HELP BRANNIEST
    5·2 answers
  • Explain 657 divide by 3 using partial quotient
    15·1 answer
  • Find the domain of this problem, do not find the solution I have the solution it is x=2, I need the domain.
    7·1 answer
  • Help me solve it please
    10·1 answer
  • Amelia and Nora go to the movie theater and purchase refreshments for their friends. Amelia spends a total of $18.00 on 6 bags o
    13·1 answer
  • 4=32b<br> solve for b WILL GIVE BRAINLIEST
    9·1 answer
  • Alexa wants to purchase some new supplies for making jewelry
    14·1 answer
  • Which transformation below causes Figure A to transform into Figure A'?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!