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> Just Math (3)> Science> Algorithms
Let A, B, C be angles of a triangle. Find the maximum value of sin A * sin2 B * sin3 C without using calculus.
(No Solution Yet, 0 Comments) Submitted on 2025-05-05 by Danish Ahmed Khan   
Difficulty: 3 of 5 Bonus: Sum Celebrity Concerns II (in Numbers) Rating: 5.00
Solve separately each of these base ten alphametics. None of the numbers (including those covered under functions) corresponding to any of the following alphametics can contain leading zero.

aaa
aa(I)aaaaaaHENRY
aaa+aaaaWOTTON
aaa+aaaaaaia1568
aaa+aaaaaaia1639
aaa+aaaaaaaaSSS
aaa=aaaaiSSSSSS,aaawhenever NOTEWORTHY is divisible by 19.

a (II) aaNELLIE
aaa+aaaMELBA
aaa+aaaaa1861
aaa+aaaaa1931
aaa+aaaaaaaaC
aaa+aaaaaaaaR
aaa+aaaaaaaaU
aaa=aaRRRRRR,aaawherea sod(CLAIR)/sod(LUNE) = CU/BE

(III) MISSSSS = MARILYN
aaaaaaaaaaaa+ aiMONROE
aaaaaaaaaaaa+ aaaaa1926
aaaaaaaaaaaa+ aaaaa1962
aaaaaaaaaaaa+ aaaaaaaiM
aaaaaawhere:
aaaaaaaaaaAM = sod(NORMA)
aaaaaaaaaaaand aadr(MARRY) + dr(MILLIONAIRE) = 15

Note: sod(x) denotes the sum of digits of x and, dr(x) denotes the digital root of x.

(Solution Posted, 2 Comments) Submitted on 2010-10-22 by K Sengupta   
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