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Home » This Pharmacy Gold-Arable Foundation Just Crushed Every Acne-Friendly Cosmetic Check! - Upplift

This Pharmacy Gold-Arable Foundation Just Crushed Every Acne-Friendly Cosmetic Check! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 A_{\text{triangle}} = \frac{1}{2}ab

📌 The radius $r$ of the incircle of a right triangle is given by:

📌 r = \frac{a + b - t}{2}

📌 \frac{\pi r^2}{\frac{1}{2}ab} = \frac{2\pi r^2}{ab}

📌 Substituting $r = \frac{a + b - t}{2}$:

📌 \frac{2\pi \left(\frac{a + b - t}{2}\right)^2}{ab} = \frac{2\pi \cdot \frac{(a + b - t)^2}{4}}{ab} = \frac{\pi (a + b - t)^2}{2ab}

📌 \boxed{\frac{\pi (a + b - t)^2}{2ab}}

📌 Question: An astronomer observes a planetary orbit modeled as an ellipse with semi-major axis $a = 10$ AU and semi-minor axis $b = 6$ AU. What is the approximate circumference of the elliptical orbit? (Use Ramanujan’s approximation: $C \approx \pi \left[3(a + b) - \sqrt{(3a + b)(a + 3b)}\right]$.)

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Using the lens formula:
\[ \frac{1}{f} = \frac{1}{v} - \frac{1}{u} \]
\[ \frac{1}{20} = \frac{1}{v} - \frac{1}{-30} \]
\[ \frac{1}{v} = \frac{1}{20} + \frac{1}{30} \]
\[ \frac{1}{v} = \frac{3 + 2}{60} = \frac{5}{60} \]
\[ v = \frac{60}{5} = 12 \, \text{cm} \]
The image is formed 12 cm from the lens on the opposite side.
A right triangle has one leg measuring 9 cm and a hypotenuse measuring...
\[ a^2 + 9^2 = 15^2 \]
\[ a^2 + 81 = 225 \]

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