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Home » Get Ready to Love ‘9s Cool Grey’ – The Trend Everyone’s Using Now! - AMAZONAWS

Get Ready to Love ‘9s Cool Grey’ – The Trend Everyone’s Using Now! - AMAZONAWS

Get Ready to Love ‘9s Cool Grey’ – The Trend Everyone’s Using Now!

📅 March 11, 2026 👤 scraface
Mar 11, 2026
Get Ready to Love ‘9s Cool Grey’ – The Trend Everyone’s Using Now!

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📌 Planet Y is 3× farther → R_Y³ = 3³ = 27 → T_Y² = 6² × 27 = 36 × 27 = <<36*27=972>>972.
📌 An astronomer calculates that a protoplanetary disk has a total mass of 5 × 10³⁰ kg, with 60% forming into planets and the rest dissipating. If the largest planet collects 2.4 × 10³⁰ kg, what fraction of the planetary mass did it receive?
📌 A) $ \frac{2\sqrt{3}}{3} \cdot \frac{r^2}{\text{Area}} = 1 $ → Area ratios: $ \frac{2\sqrt{3} s^2}{6\sqrt{3} r^2} = \frac{s^2}{3r^2} $, and since $ s = \sqrt{3}r $, this becomes $ \frac{3r^2}{3r^2} = 1 $? Corrección: Pentatexto A) $ \frac{2\sqrt{3}}{3} \cdot \frac{r^2}{\text{Area}} $ — but correct derivation: Area of hexagon = $ \frac{3\sqrt{3}}{2} s^2 $, inscribed circle radius $ r = \frac{\sqrt{3}}{2}s \Rightarrow s = \frac{2r}{\sqrt{3}} $. Then Area $ = \frac{3\sqrt{3}}{2} \cdot \frac{4r^2}{3} = 2\sqrt{3} r^2 $. Circle area: $ \pi r^2 $. Ratio: $ \frac{\pi r^2}{2\sqrt{3} r^2} = \frac{\pi}{2\sqrt{3}} $. But question asks for "ratio of area of circle to hexagon" or vice? Question says: area of circle over area of hexagon → $ \frac{\pi r^2}{2\sqrt{3} r^2} = \frac{\pi}{2\sqrt{3}} $. But none match. Recheck options. Actually, $ s = \frac{2r}{\sqrt{3}} $, so $ s^2 = \frac{4r^2}{3} $. Hexagon area: $ \frac{3\sqrt{3}}{2} \cdot \frac{4r^2}{3} = 2\sqrt{3} r^2 $. So $ \frac{\pi r^2}{2\sqrt{3} r^2} = \frac{\pi}{2\sqrt{3}} $. Approx: $ \frac{3.14}{3.464} \approx 0.907 $. None of options match. Adjust: Perhaps question should have option: $ \frac{\pi}{2\sqrt{3}} $, but since not, revise model. Instead—correct, more accurate: After calculation, the ratio is $ \frac{\pi}{2\sqrt{3}} $, but among given:
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