#math problem 01-10-2026 Geometry puzzle.😃🤓 Compute the value of β

#math The values ​​of trigonometric functions for 30°, 45°, and 60° can be derived from equilateral and right-angled triangles. Deriving values ​​for other angles can be more complex; however, the "Golden Triangle" can be used to determine the trigonometric values ​​for 36° and 72°. In this triangle, the ratio of one of the equal sides to the base is phi (φ)—the golden ratio, (1 + √5)/2—and its angles are 36°, 72°, and 72°.

#math problem 01-10-2026 Calculus: Infinite nested square roots integral.🐍🪝 Compute the integral.

#math The fundamental constant "e" was found hidden in the Pascal Triangle;its constructed by taking products instead of sums - of all elements in a row. The discovery was made by H. J. Brothers in 2012. (Pascal's triangle: The hidden stor-e, The Mathematical Gazette, March 2012)

#physics For Aristotle, time is a riddle , something that divides the past, the present, and the future. But the present is merely the boundary between the past and the future; yet the past is something that no longer exists, and the future is something that does not yet exist. Thus, time appears to be a "nothingness" that separates something non-existent from something else that is also non-existent.

#math problem 30-09-2026 Interesting algebra problem.

#math problem 30-09-2026 Geometry puzzle🟥 Compute the value of "x"

#math problem 30-09-2026 Calculus: Limit problem⏲️⏱️ Compute the limit.

#math problem 30-09-2026 Algebra problem.🦀 Compute the value of "x"

#math problem 30-09-2026 Geometry problem🎈 If the "spherical cap" in Fig. 2 corresponds to 40% of the hemisphere's volume, then if a "cut" is made through the hemisphere along the X-Z plane (Fig. 1), will the "gray circular segment" represent 40% of the semicircle's area?