SOLUTION: for each palnet in the solar system,its year is the time it takes the planet to revolve around the center star. the formula E=0.2x^3/2 models the number of earth days in a planets

Question 952533: for each palnet in the solar system,its year is the time it takes the planet to revolve around the center star. the formula E=0.2x^3/2 models the number of earth days in a planets year, E, where x is the average distance of the planet from the center star, in millions of kilometers. there are approximately 88 earth days in the year of the planet mercury. what is the average distance of mercury from the center star? round to the nearest million kilometers. clearly state answer in a complete sentence.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
for each planet in the solar system, its year is the time it takes the planet to revolve around the center star.
the formula E=0.2x^3/2 models the number of earth days in a planets year, E, where x is the average distance of the planet from the center star, in millions of kilometers.
there are approximately 88 earth days in the year of the planet mercury. what is the average distance of mercury from the center star?
:
.2x^(3/2) = 88
x^(3/2) = 88/.2
x^(3/2} = 440
x = 440^(2/3)
x = 57.85 ~ 58 million km, av distance from the sun
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