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Home » Nino Salvaggio’s Forgotten Masterpiece: Why Every Fan Is Raving Over This Genius! - ToelettAPP

Nino Salvaggio’s Forgotten Masterpiece: Why Every Fan Is Raving Over This Genius! - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A car travels 120 km in 2 hours. If its speed is increased by 20 km/h, how much less time will it take to travel the same distance?

📌 Original speed \(= \frac{120}{2} = 60\) km/h.

📌 New speed \(= 60 + 20 = 80\) km/h.

📌 Time at new speed \(= \frac{120}{80} = 1.5\) hours.

📌 Time saved \(= 2 - 1.5 = 0.5\) hours.

📌 In a class of 30 students, 18 play soccer, 12 play basketball, and 5 play both. How many students play neither sport?

📌 Using the principle of inclusion-exclusion:

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\(\sin(60^\circ) = \frac{\sqrt{3}}{2} \approx 0.866\):
h = 10 \times 0.866 = 8.66
#### Height: 8.66 meters
The sum of the first \( n \) terms of an arithmetic sequence is given...
The sum of the first \( n \) terms is \( S_n = 2n^2 + 3n \).
a_n = S_n - S_{n-1}
Calculate \( S_{10} \) and \( S_9 \):
S_{10} = 2(10)^2 + 3(10) = 200 + 30 = 230
S_9 = 2(9)^2 + 3(9) = 162 + 27 = 189
a_{10} = S_{10} - S_9 = 230 - 189 = 41

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Let $ \theta = 2z + 60^\circ $, so:
2z + 60^\circ = 30^\circ + 360^\circ k \Rightarrow 2z = -30^\circ + 36...
2z + 60^\circ = 150^\circ + 360^\circ k \Rightarrow 2z = 90^\circ + 36...
Now find all $ z \in [0^\circ, 360^\circ] $:
For $ z = -15^\circ + 180^\circ k $:
$ k = 1 $: $ 165^\circ $
$ k = 2 $: $ 345^\circ $
$ k = 0 $: $ -15^\circ $ — invalid
$ k = 3 $: $ 525^\circ $ — too large
For $ z = 45^\circ + 180^\circ k $:

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