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Home » You’ll Master Roblox in Just 10 Simple Steps—Start Today! - Ready Digital AB

You’ll Master Roblox in Just 10 Simple Steps—Start Today! - Ready Digital AB

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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📌 5Question: A marine microbiologist studies a hexagonal coral colony with side length 3 cm. What is the area of the hexagon in square centimeters?

📌 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?

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a_n = rac{1}{(n + 1)(n + 2)}
We apply partial fraction decomposition:
rac{1}{(n + 1)(n + 2)} = rac{A}{n + 1} + rac{B}{n + 2}
Multiplying both sides by \((n + 1)(n + 2)\):
= A(n + 2) + B(n + 1)
Setting \( n = -2 \):
\( 1 = B(-1) \Rightarrow B = -1 \)
Setting \( n = -1 \):
\( 1 = A(1) \Rightarrow A = 1 \)
rac{1}{(n + 1)(n + 2)} = rac{1}{n + 1} - rac{1}{n + 2}

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