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Home » Lugia’s Hidden Doppelgänger Exposed: The Shadow Version That Rivals Legendary Status! - Dachbleche24

Lugia’s Hidden Doppelgänger Exposed: The Shadow Version That Rivals Legendary Status! - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Question:** Compute \(\sin 180^\circ - \sin 45^\circ\) and simplify the result.

📌 We evaluate each sine value:

📌 \sin 180^\circ = 0

📌 \sin 45^\circ = \frac{\sqrt{2}}{2}

📌 \sin 180^\circ - \sin 45^\circ = 0 - \frac{\sqrt{2}}{2} = -\frac{\sqrt{2}}{2}

📌 The simplified expression is:

📌 Question:** The radius of a sphere is \(2x\) units and the radius of a hemisphere is \(3x\) units. What is the ratio of the volume of the hemisphere to the volume of the sphere?

📌 The volume \(V_{\text{sphere}}\) of a sphere with radius \(r\) is:

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105, 112, 119, \dots, 994
This is an arithmetic sequence with first term \(a = 105\), common dif...
The number of terms \(n\) is given by:
l = a + (n - 1)d
= 105 + (n - 1) \times 7
- 105 = (n - 1) \times 7
= (n - 1) \times 7
n - 1 = \frac{889}{7} = 127
n = 128
Thus, the number of positive 3-digit numbers divisible by 7 is \(\boxe...

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