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
lubasha [3.4K]
2 years ago
9

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

Mathematics
2 answers:
lyudmila [28]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>Verify each statement</em></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

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 square inches

[(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

lorasvet [3.4K]2 years ago
4 0

Answer:

da answer is 72. yw:)

Step-by-step explanation:

You might be interested in
The owner of a new pet store wishes to display tropical fish in display tanks. The above table shows the species that cannot liv
Pepsi [2]

Answer:

The minimum number of different tanks needed to safely house all the fish is:

  • <u>3 tanks</u>.

Step-by-step explanation:

To identify the minimum number of different tanks, we're gonna concentrate in a fish species, in this case can be the A: as you see in the table, the A species can live with all the fish excepting the F and G, by their side, the F and G can't live together , by this reason, this three species must live in a different tank, in the next form:

  • Tank 1: <em>A</em>
  • Tank 2: <em>F</em>
  • Tank 3: <em>G</em>

Now the B species, it can live with A, F and G, but for this example we can put in the tank 1 (the tank of the A species). The C especies can live with A, F and G, but how we have A and B together, we're gonna put the C especies in the tank 3 (the tank of the G especies). The D species can live with A and G, we're gonna put in the tank 1 because can live with B species too. The E species can live with A and F, we're gonna put in the tank 2 (the tank of the F species) because the E species can't live with D that is in the in the tank 1. Al last, the H species just can live with A, E, F, and H species, by this reason, the only tank that can be put is the tank 2. In this form, the order is the next:

  • Tank 1: <em>A, B, D</em>.
  • Tank 2: <em>F, E, H</em>.
  • Tank 3: <em>G, C</em>.

And t<u>he owner of the pet store must buy three different tanks to display these tropical fish</u>.

5 0
3 years ago
Matt is the catcher for his school's baseball team. The catcher must be able to throw from home plate to second base. What is th
Oduvanchick [21]

Answer:

Step-by-step explanation:

127.3

4 0
3 years ago
Read 2 more answers
Identify the constants in the following expression. 3x + 7 + 4y - 7z + 9 + 2x - 5
amid [387]
Constants are anything that is not a variable. A variable is a letter. So think about it... What would be the constants? What is not a letter? TIP: Make sure you include - sign!_
3 0
3 years ago
Evaluate 8+3e when e= 2.
trapecia [35]

\text{Hey there!}

\text{If e = 2 then replace the e in the equation to 2}

\mathsf{8+3e}\\\mathsf{= 8+3(2)}\\\mathsf{3(2)=6}\\\mathsf{8+6=14}\\\\\boxed{\boxed{\mathsf{Answer: \boxed{\mathsf{14}}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\dfrac{\frak{LoveYourselfFirst}}{:)}

5 0
2 years ago
Read 2 more answers
Consider angle θ in Quadrant II, where sinθ = 4/5 . What is the value of cosθ?
Kay [80]

Answer:

3/5

Step-by-step explanation:

sin theta=opposite/hypotenuse

4/5=opposite/hypotenuse

therefore opposite=4 and hypotenuse=5

for adjacent

using pythagoras theorem

a^2+b^2=c^2

opposite^2 + adjacent^2 =hypotenuse^2

4^2 + adjacent^2 =5^2

16 + adjacent^2 =25

adjacent^2 =25-16

adjacent =\sqrt{9

adjacent=3

cos theta=adjacent/hypotenuse

=3/5

therefore the value of cos theta is 3/5

8 0
3 years ago
Other questions:
  • Wilma and Betty are playing a number game. Wilma tells Betty, "I'm thinking of a number between 1 and 10. If I take the number a
    5·1 answer
  • Which is an irrational number?
    10·1 answer
  • Select all of the appropriate descriptions for the object below.СAT​
    10·1 answer
  • Delia has three pieces of ribbon. Her red ribbon is 2/4 foot long. Her green ribbon is 2/3 foot long. Her yellow ribbon is 2/6 f
    15·2 answers
  • A sphere of radius 3 inches is sliced with two parallel planes: one passes through the equator and the other is H inches above t
    14·1 answer
  • Use the sum of cubes identity to write this polynomial expression in factored form:<br> 8x3 + 27.
    12·2 answers
  • Factorise the expressions and divide them as directed.​
    14·1 answer
  • Suppose you invest $150 a month for 3 years into an account earning 7% compounded monthly. After 3 years, you leave the money, w
    14·1 answer
  • O
    7·1 answer
  • AC=<br> Help me please!! Thanks so much
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!