Indicate the method you would use to prove the two Δ's ≅ . If no method applies, enter "none".
1 answer:
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Answer:
The period of Y increases by a factor of with respect to the period of X
Step-by-step explanation:
The equation shows the relationship between the orbital period of a planet, T, and the average distance from the planet to the sun, A, in astronomical units, AU. If planet Y is k times the average distance from the sun as planet X, at what factor does the orbital period increase?
For the planet Y:
For planet X:
To know the factor of aumeto we compared with
We know that the distance "a" from planet Y is k times larger than the distance from planet X to the sun. So:
So
Then, the period of Y increases by a factor of with respect to the period of X