Answer:
The average distance of Planet Upper D from the center star is 227.5 millions of kilometers (227.5 × 10^6 kilometers)
Step-by-step explanation:
* Lets explain information to solve the problem
- x is the average distance of the planet from the center star, in millions
of kilometers
- The formula of Earth days in the year of Planet is 0.2 x^(3/2)
- The Earth days in the year of Plant D is approximately 686.3
* Lets solve the problem
∵ The number of Earth days in a planet's year = 0.2 x^(3/2)
∵ The Earth days in the year of Plant D is approximately 686.3
- Lets substitute this value in the formula
∴ 686.3 = 0.2 x^(3/2) ⇒ divide both sides by 0.2
∴ 686.3/0.2 = 0.2/0.2 x^(3/2)
∴ 3431.5 = x^(3/2)
- We can use this rule to solve the equation
# If x^n = a, where a is a constant, then x = a^(1/n)
that means we reciprocal the power and take it to the other side
∴ x = (3431.5)^(2/3)
- Now use your calculator to find the answer
∴ x ≅ 227.5
* The average distance of Planet Upper D from the center star is
227.5 millions of kilometers (227.5 × 10^6 kilometers)
