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Question-170025

Question Number 170025 by 0731619 last updated on 14/May/22 Answered by Mathspace last updated on 14/May/22 $${let}\:\sqrt{{arcsinx}}={t}\:\Rightarrow{arsinx}={t}^{\mathrm{2}} \\ $$$$\Rightarrow{x}={sin}\left({t}^{\mathrm{2}} \right)\:\Rightarrow{I}=\int\:\:\frac{\mathrm{2}{tcos}\left({t}^{\mathrm{2}} \right)}{{t}}{dt} \\ $$$$=\mathrm{2}\int\:{cos}\left({t}^{\mathrm{2}} \right){dt}=\mathrm{2}\int \\…

The-number-of-reading-books-is-1248-in-a-library-The-number-of-story-books-is-936-The-librarians-bought-more-reading-books-Now-The-number-of-Reading-books-The-number-of-story-books-11-5

Question Number 104460 by Anindita last updated on 21/Jul/20 $$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{reading}\:\mathrm{books}\:\mathrm{is}\:\mathrm{1248} \\ $$$$\mathrm{in}\:\mathrm{a}\:\mathrm{library}.\:\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{story} \\ $$$$\mathrm{books}\:\mathrm{is}\:\mathrm{936}.\:\mathrm{The}\:\mathrm{librarians}\:\mathrm{bought} \\ $$$$\mathrm{more}\:\mathrm{reading}\:\mathrm{books}.\:\mathrm{Now}\:\frac{\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{Reading}\:\mathrm{books}}{\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{story}\:\mathrm{books}\:} \\ $$$$=\:\frac{\mathrm{11}}{\mathrm{5}}.\:\mathrm{How}\:\mathrm{many}\:\mathrm{reading}\:\mathrm{books}\:\mathrm{were} \\ $$$$\mathrm{bought}\:? \\ $$ Answered by Ritu…

If-A-B-3-4-B-C-6-7-then-A-B-C-A-C-

Question Number 104452 by Anindita last updated on 21/Jul/20 $$\mathrm{If}\:\mathrm{A}:\mathrm{B}\:=\:\mathrm{3}:\mathrm{4},\:\mathrm{B}:\mathrm{C}\:=\:\mathrm{6}:\mathrm{7}\:\mathrm{then} \\ $$$$\mathrm{A}:\mathrm{B}:\mathrm{C}\:=\:?\:\mathrm{A}:\mathrm{C}\:=\:?\: \\ $$ Answered by bemath last updated on 21/Jul/20 $${A}\::\:{B}\::\:{C}\:=\:\mathrm{9}\::\:\mathrm{12}\::\:\mathrm{14} \\ $$ Answered…

Question-169973

Question Number 169973 by Best1 last updated on 13/May/22 Answered by alephzero last updated on 13/May/22 $${P}_{\mathrm{a}} \:=\:{P}_{\mathrm{rectangle}} −{a}+{P}_{\mathrm{semicircle}} \:= \\ $$$$=\:\mathrm{2}\left({a}+{b}\right)−{a}+\frac{\pi{d}}{\mathrm{2}}\:= \\ $$$$=\:\mathrm{2}\left(\mathrm{1}.\mathrm{6}+\mathrm{2}.\mathrm{8}\right)−\mathrm{1}.\mathrm{6}+\frac{\mathrm{1}.\mathrm{6}\pi}{\mathrm{2}} \\…