Suppose that your data shows that Saturn orbits every 29.5 years. To the nearest hundredth of an au, how far is Saturn from the Sun?

Saturn’s distance from the Sun is 9.54 AU and this can be determined by using Kepler's third law and the given data.

Given :

Saturn orbits every 29.5 years.

The following steps can be used in order to determine Saturn’s Distance from the Sun:

Step 1 - Kepler's third law is used in order to determine Saturn’s Distance from the Sun.

Step 2 - The above expression becomes:

where  and  is the time in years and  and  is the radius.

Step 3 - The value of  for Earth is 1 year,  for Saturn is 29.5 years, and  of Earth is 1 AU.

Step 4 - Substitute the values of , , and  in the above formula.

Step 5 - Simplify the above expression.

Saturn’s distance from the Sun is 9.54 AU.

Step-by-step explanation:

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.