Final answer:
To find the value of x/y in the given equation, we first simplify the square roots and then substitute the values into the equation. We can then solve for x/y by further simplifying the equation.
Step-by-step explanation:
Given the equation √0.09 × 0.9 × x = 0.9 × 0.09 × √y, we can solve for the value of x/y. Let's break it down step by step
First, simplify the square roots: √0.09 = 0.3 and √y = √0.011 (since y = 0.011).Next, substitute these values into the equation: 0.3 × 0.9 × x = 0.9 × 0.09 × √0.011.Now, solve for x/y: (0.3 × 0.9 × x) / (0.9 × 0.09 × √0.011) = 0.3.Further simplification of the equation gives us x/y = 0.3, as stated in the question.