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Advocard [28]
3 years ago
5

Suppose two rectangles are similar with a scale factor of 2. What is the ratio of thier areas? Explain.

Mathematics
1 answer:
Anton [14]3 years ago
3 0

Answer:

4

Step-by-step explanation:

From the question,

Since both rectangle has a scale factor of 2,

L₁/L₂ = 2

Where L₁ and L₂ are the length of the first and second rectangle respectively

L₁ = 2L₂................ Equation 1

Also,

W₁/W₂ = 2............ Equation 2

Where W₁ and W₂ are the Width of the first and second rectangle respectively

W₁ = 2W₂

Area of a rectangle = Length × width

Area of first rectangle = L₁×W₁ = 2L₂×2W₂ = 4L₂W₂

Area of second rectangle = L₂×W₂= L₂W₂

The ratio of area = Area of the first rectangle/Area of the second rectangle = 4L₂W₂/L₂W₂ = 4

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The ratio of games won at to the games lost for a basketball team is 3:2. The team won 18 games. How many games did the team los
schepotkina [342]

A ratio of 3:2.

The easiest way to go about this is to divide the actual number of wins (18) by its corresponding element in the ratio.

So:

\frac{18}{3}= 6

This means every element on the ratio has a value of 6.

The amount of element in the ratio that correspond to losses is 2.

Multiply the actual amount of matches per element in the ratio by the number of elements that represents the losses in the ratio.

6*2=12

Your answer:

<em>"The team lost 12 games."</em>

7 0
3 years ago
A private jet flies the same distance in 8 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was
mamaluj [8]

Solving a system of equations, we can see that:

  • Speed of the private jet: 168 mi/h
  • Speed of the commercial jet: 192mi/h

<h3>How to find the speeds of each jet?</h3>

Let's define the variables:

  • P = speed of the private jet.
  • C = speed of the commercial jet.

With the given information, we can write:

P*8h = D

C*7h = D

C = 2*P - 144mi/h

So we have a system of 3 equations, where D is the distance in the problem.

With the first and second equations we can write:

P*8h = D = C*7h

Isolating P, we get:

P = C*(7/8)

Now we can replace that in the last equation:

C = 2*P - 144mi/h

C = 2*C*(7/8) - 144mi/h

And now we can solve that for C.

C - 2*(7/8)*C = - 144mi/h

C*(1 - 14/8) = -144mi/h

C*(8/8 - 14/8) = - 144mi/h

C*(6/8) = 144mi/h

C = (8/6)*144mi/h = 192mi/h

Now that we know the speed of the commercial jet, we can find the speed of the private jet.

P = C*(7/8) = 192mi/h*(7/8) = 168 mi/h

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

6 0
2 years ago
The diagram shows 3 ships A, B and C at sea.
Wittaler [7]

Answer:

5km + 4.5km +2.7km = 12.3km

5 0
2 years ago
A team is being formed that includes eight different people. There are eight different positions on the teams. How many differen
abruzzese [7]

Answer:

40320 different ways

Step-by-step explanation:

That problem is a permutation one

We have eight people to occupy  one position in a team, without any constraint at all

So

Total number of events   = P(8)

P (8)  =  8!

P (8)  =  8*7*6*5*4*3*2*1

P (8)  =  40320 different ways

6 0
3 years ago
Complete the table of equivalent ratios.<br> 3<br> 5<br><br> 10<br> 9<br><br><br> 20<br><br> 25
RUDIKE [14]

Answer:

Step-by-step explanation:

The first is 2, the second is 6 and the third is 14.

7 0
3 years ago
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