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Home » Black Trousers Changed My Life: Here’s Why Every Big Man Should Own Them! - Upplift

Black Trousers Changed My Life: Here’s Why Every Big Man Should Own Them! - Upplift

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Distance = speed \(\times\) time: \( 60t + 80(4-t) = 280 \).

📌 Simplifying: \( 60t + 320 - 80t = 280 \) → \( -20t = -40 \) → \( t = 2 \).

📌 The sum of the squares of two consecutive integers is 365. What are the integers?

📌 \( n^2 + (n+1)^2 = 365 \).

📌 Simplifying: \( 2n^2 + 2n - 364 = 0 \) → \( n^2 + n - 182 = 0 \).

📌 Solving using quadratic formula: \( n = \frac{-1 \pm \sqrt{1 + 728}}{2} = \frac{-1 \pm 27}{2} \).

📌 Positive solution: \( n = 13 \), so integers are 13 and 14.

📌 #### 13, 14

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El aumento en ingresos es:
\[ 200,000 \times 0.25 = 50,000 \]
Los nuevos ingresos son:
\[ 200,000 + 50,000 = 250,000 \]
Los nuevos ingresos son $250,000.
#### 250,000
### Pregunta 11
Un jardín rectangular tiene un área de 200 metros cuadrados y un ancho...
La longitud \( l \) se calcula como:
\[ \text{Área} = \text{longitud} \times \text{ancho} \]

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Divide both sides by $ \sqrt{3} $:
rac{1}{4}s^2 = 25 \Rightarrow s^2 = 100 \Rightarrow s = 10 ext{ cm}
The new side length is $ s + 4 = 14 $ cm. Compute the new area:
A_{ ext{new}} = rac{\sqrt{3}}{4}(14)^2 = rac{\sqrt{3}}{4} \cdot 196...
\Delta A = 49\sqrt{3} - 25\sqrt{3} = 24\sqrt{3} ext{ cm}^2
Thus, the area increases by $ oxed{24\sqrt{3}} $ cmÂ².
Question: Find the length of the longest altitude of a triangle with s...
Solution: First, compute the area using Heronâs formula. Let $ a = 7...
s = rac{7 + 10 + 13}{2} = 15
The area $ A $ is:

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