Mathematics, 27.03.2020 11:06 stevenabdullatif16

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.

Answers: 2

Show answers

Answers

Answer from: jonellelewis2897

-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:

The complete question is

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.

Verify each statement

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

First enlargement

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 $1,944\ in^2$

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

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

The statement is false

Because

$3(216)=648\ in^2$

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

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

$\frac{216}{24}=9$

Answer from: Quest

17.08

correct me if i am wrong.

Answer from: Quest

answer: 193

explanation:

200-7 = 193

Another question on Mathematics

Mathematics, 21.06.2019 14:30

What is the order of operations for 2 + (3 - 9) ÷ -3 · 4 in number order 1. subtraction 2. division 3. addition 4. multiplication

Answers: 1

Answer

Mathematics, 21.06.2019 15:10

The green family is a family of six people. they have used 4,885.78 gallons of water so far this month. they cannot exceed 9,750.05 gallons per month during drought season. write an inequality to show how much water just one member of the family can use for the remainder of the month, assuming each family member uses the same amount of water every month.

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

Just tell me how to set up the equation.

Answers: 2

Answer

Mathematics, 21.06.2019 18:30

School has 204 sixth grade students. if the sixth grade is 30% of the total school, how many students are in the middle school?

Answers: 2

Answer

You know the right answer?

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