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Home » Alhamdulillah Defined – This Hidden Meaning Will Change How You Say It Forever! - 500apps

Alhamdulillah Defined – This Hidden Meaning Will Change How You Say It Forever! - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 The new side length is:

📌 s' = 12 + 2 = 14 \text{ cm}

📌 A' = \frac{\sqrt{3}}{4} (14)^2 = \frac{\sqrt{3}}{4} \cdot 196 = 49\sqrt{3} \text{ cm}^2

📌 \Delta A = A' - A = 49\sqrt{3} - 36\sqrt{3} = 13\sqrt{3} \text{ cm}^2

📌 Thus, the area increases by \(\boxed{13\sqrt{3}}\) square centimeters.Question: Find the area enclosed by the graph of $ |x| + |y| = 4 $.

📌 Solution: The equation $ |x| + |y| = 4 $ describes a diamond (or rhombus) centered at the origin. To find the vertices, consider the four cases for absolute values:

📌 $ x \geq 0, y \geq 0 $: $ x + y = 4 $, intercepts at $ (4, 0) $, $ (0, 4) $

📌 $ x \leq 0, y \geq 0 $: $ -x + y = 4 $, intercepts at $ (-4, 0) $, $ (0

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Volume formula: \( V = \frac{1}{3}\pi r^2 h \)
\( 100\pi = \frac{1}{3}\pi r^2 \times 12 \)
Cancel \( \pi \): \( 100 = 4r^2 \)
\( r^2 = 25 \) → \( r = 5 \)
#### 5 cmCertainly! Here are ten advanced high school-level questions...
A rectangular plot of land has a length that is 3 times its width. If...
Area = length \(\times\) width = \( 3w \times w = 3w^2 \).
Given \( 3w^2 = 192 \).
Solving for \( w \): \( w^2 = \frac{192}{3} = 64 \).
\( w = \sqrt{64} = 8 \).

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