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Home » "Why These 7 Video Games Rank FIRST in the Ultimate 'Best of All Time' List! - Dachbleche24

"Why These 7 Video Games Rank FIRST in the Ultimate 'Best of All Time' List! - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Solution: A regular hexagon can be divided into 6 equilateral triangles, each with side length 3 cm. The area of one equilateral triangle is $\frac{\sqrt{3}}{4} \times 3^2 = \frac{9\sqrt{3}}{4}$. The total area is $6 \times \frac{9\sqrt{3}}{4} = \frac{54\sqrt{3}}{4} = \frac{27\sqrt{3}}{2}$.

📌 \boxed{\dfrac{27\sqrt{3}}{2}}

📌 Question: A zoologist observes a triangular bird migration route with angles in the ratio 1:2:3. If the side opposite the smallest angle is 5 km, what is the length of the longest side?

📌 Solution: The angles are $30^\circ$, $60^\circ$, and $90^\circ$. Using the Law of Sines: $\frac{5}{\sin 30^\circ} = \frac{c}{\sin 90^\circ}$. Since $\sin 30^\circ = 0.5$ and $\sin 90^\circ = 1$, $c = \frac{5}{0.5} = 10$ km.

📌 Question: A geneticist models a DNA strand as a helix with a circular cross-section. If the circumference of the cross-section is $12\pi$ nm, what is the radius in nanometers?

📌 Solution: The circumference $C = 2\pi r$, so $r = \frac{C}{2\pi} = \frac{12\pi}{2\pi} = 6$ nm.

📌 Question: A marine microbiome map shows a circular bacterial mat with diameter 14 cm. What is the length of the longest chord that is not a diameter?

📌 Solution: The longest chord in a circle is the diameter. However, the question specifies the longest chord that is not a diameter, which would approach the diameter. For a circle, the maximum chord length is the diameter, so the answer is 14 cm.

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