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Author: Tinku Tara

The-speeds-of-Daniel-and-Robert-are-in-the-ratio-of-3-4-In-a-race-of-300m-Daniel-has-a-start-of-90m-Daniel-won-by-

Question Number 18214 by chux last updated on 16/Jul/17 $$\mathrm{The}\:\mathrm{speeds}\:\mathrm{of}\:\mathrm{Daniel}\:\mathrm{and}\:\mathrm{Robert} \\ $$$$\mathrm{are}\:\mathrm{in}\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{of}\:\mathrm{3}:\mathrm{4}.\mathrm{In}\:\mathrm{a}\:\mathrm{race}\:\mathrm{of} \\ $$$$\mathrm{300m}\:\mathrm{Daniel}\:\mathrm{has}\:\mathrm{a}\:\mathrm{start}\:\mathrm{of}\:\mathrm{90m}.\: \\ $$$$\mathrm{Daniel}\:\mathrm{won}\:\mathrm{by}? \\ $$ Answered by ajfour last updated on 17/Jul/17…

The-greatest-number-that-will-divide-82-111-and-140-leaving-the-same-remainder-in-each-case-is-

Question Number 18213 by chux last updated on 16/Jul/17 $$\mathrm{The}\:\mathrm{greatest}\:\mathrm{number}\:\mathrm{that}\:\mathrm{will} \\ $$$$\mathrm{divide}\:\mathrm{82}\:,\mathrm{111}\:\mathrm{and}\:\mathrm{140}\:\mathrm{leaving}\:\mathrm{the}\: \\ $$$$\mathrm{same}\:\mathrm{remainder}\:\mathrm{in}\:\mathrm{each}\:\mathrm{case}\:\mathrm{is}…….. \\ $$ Answered by Tinkutara last updated on 17/Jul/17 $$\mathrm{82}\:=\:{xa}\:+\:{r} \\…

what-is-minimum-value-of-f-x-sin-x-csc-x-2-sec-x-cos-x-

Question Number 83739 by jagoll last updated on 05/Mar/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\mathrm{f}\left(\mathrm{x}\right)\:=\:\left(\mathrm{sin}\:\mathrm{x}+\:\mathrm{csc}\:\mathrm{x}\:\right)^{\mathrm{2}} +\mathrm{sec}\:\mathrm{x}\:+\:\mathrm{cos}\:\mathrm{x} \\ $$ Commented by MJS last updated on 05/Mar/20 $$−\infty \\ $$$$\mathrm{local}\:\mathrm{minima}\:\mathrm{at}…

An-open-vessel-at-27-C-is-heated-until-3-5-parts-of-the-air-in-it-has-been-expelled-Assuming-that-the-volume-of-the-vessel-remains-constant-find-the-temperature-to-which-the-vessel-has-been-heated

Question Number 18202 by Tinkutara last updated on 16/Jul/17 $$\mathrm{An}\:\mathrm{open}\:\mathrm{vessel}\:\mathrm{at}\:\mathrm{27}°\mathrm{C}\:\mathrm{is}\:\mathrm{heated}\:\mathrm{until} \\ $$$$\frac{\mathrm{3}}{\mathrm{5}}\:\mathrm{parts}\:\mathrm{of}\:\mathrm{the}\:\mathrm{air}\:\mathrm{in}\:\mathrm{it}\:\mathrm{has}\:\mathrm{been}\:\mathrm{expelled}. \\ $$$$\mathrm{Assuming}\:\mathrm{that}\:\mathrm{the}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{the}\:\mathrm{vessel} \\ $$$$\mathrm{remains}\:\mathrm{constant},\:\mathrm{find}\:\mathrm{the}\:\mathrm{temperature} \\ $$$$\mathrm{to}\:\mathrm{which}\:\mathrm{the}\:\mathrm{vessel}\:\mathrm{has}\:\mathrm{been}\:\mathrm{heated}. \\ $$ Answered by ajfour last updated…