Use Kepler's Law, which states that the square of the time, T, required for a planet to orbit the Sun varies directly with the cube of the mean distance, a, that the planet is from the Sun. Using Earth's time of 1 year and a mean distance of 93 million miles, the equation relating T (in years) and a (in million miles) is 804375T² = a³. Use that relation equation to determine the time required for a planet with mean distance of 277 million miles to orbit the Sun. Round to 2 decimal places. | years

College Algebra
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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Use Kepler's Law, which states that the square of the time, T, required for a planet to orbit the Sun varies directly
with the cube of the mean distance, a, that the planet is from the Sun.
Using Earth's time of 1 year and a mean distance of 93 million miles, the equation relating T (in years) and a (in
million miles) is 804375T² = a³.
Use that relation equation to determine the time required for a planet with mean distance of 277 million miles to
orbit the Sun. Round to 2 decimal places.
| years
Transcribed Image Text:Use Kepler's Law, which states that the square of the time, T, required for a planet to orbit the Sun varies directly with the cube of the mean distance, a, that the planet is from the Sun. Using Earth's time of 1 year and a mean distance of 93 million miles, the equation relating T (in years) and a (in million miles) is 804375T² = a³. Use that relation equation to determine the time required for a planet with mean distance of 277 million miles to orbit the Sun. Round to 2 decimal places. | years
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The given relation between time (years) and distance travelled (in million miles)

804375 T2 =a3

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