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LekaFEV [45]
2 years ago
10

Determine if the figures are similar. If they are, what is the scale factor from the first figure to the second figure?

Mathematics
1 answer:
lora16 [44]2 years ago
5 0

Answer:

The scale factor is \frac{3}{2}

Step-by-step explanation:

Yes the figures are similar to each other. The ratio of their linear measurements is in uniform ration

The ration of radius of large cylinder (R) to that of the smaller cylinder (r) is

\frac{18}{12} \\\frac{3}{2}

Like wise the ration of height of large cylinder (H) to that of the smaller cylinder (h) is

\frac{30}{20} \\\frac{3}{2}

The scale factor is \frac{3}{2}

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In order to solve this we'll start by assigning variables to hamburgers and cheeseburgers, since these are what we're trying to find. Lets say x = hamburgers and y = cheeseburgers. So we know two things, we know that x+y= 763 (hamburgers plus cheeseburgers sold equals 763, and we know that y= x+63 (cheeseburgers sold equals 63 more than hamburgers sold). Now we have a system of equations. This can be solved most easily by rearranging each equation to each y, and then set them equal to each other:
x+y=763 -> y=763-x, and we already have y=x+63. Set them equal to each other:
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I hope you have/had an amazing day<3

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