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Author: Tinku Tara

Question-141291

Question Number 141291 by mr W last updated on 17/May/21 Commented by mr W last updated on 17/May/21 $${OB}=\sqrt{\left({R}−{r}\right)^{\mathrm{2}} −{r}^{\mathrm{2}} }=\sqrt{{R}^{\mathrm{2}} −\mathrm{2}{Rr}} \\ $$$${AB}={R}+\sqrt{{R}^{\mathrm{2}} −\mathrm{2}{Rr}}=\frac{{r}}{\mathrm{tan}\:\mathrm{22}.\mathrm{5}°}…

x-1-3-x-1-3-2-2-x-1-3-x-1-3-2-2-x-3-4-

Question Number 75753 by Emmanuel_N last updated on 16/Dec/19 $$\left(\frac{\left(\mathrm{x}^{\mathrm{1}/\mathrm{3}} +\mathrm{x}^{−\mathrm{1}/\mathrm{3}} \right)^{\mathrm{2}} −\mathrm{2}}{\left(\mathrm{x}^{\mathrm{1}/\mathrm{3}} +\mathrm{x}^{−\mathrm{1}/\mathrm{3}} \right)^{\mathrm{2}} +\mathrm{2}}−\mathrm{x}\right)^{\mathrm{3}/\mathrm{4}} \\ $$ Answered by $@ty@m123 last updated on 16/Dec/19…

2-4-28-3-6-42-x-x-

Question Number 10216 by konen last updated on 30/Jan/17 $$\frac{\sqrt{\mathrm{2}}\:+\sqrt{\mathrm{4}}+…+\sqrt{\mathrm{28}}}{\:\sqrt{\mathrm{3}}+\sqrt{\mathrm{6}}+…+\sqrt{\mathrm{42}}}=\sqrt{\mathrm{x}}\:\Rightarrow\mathrm{x}=? \\ $$ Answered by nume1114 last updated on 30/Jan/17 $${LHS}=\frac{\underset{{n}=\mathrm{1}} {\overset{\mathrm{14}} {\sum}}\sqrt{\mathrm{2}{n}}}{\underset{{n}=\mathrm{1}} {\overset{\mathrm{14}} {\sum}}\sqrt{\mathrm{3}{n}}} \\…

Question-75750

Question Number 75750 by rajesh4661kumar@gmail.com last updated on 16/Dec/19 Commented by MJS last updated on 16/Dec/19 $$\mathrm{this}\:\mathrm{cannot}\:\mathrm{be}\:\mathrm{solved}\:\mathrm{using}\:\mathrm{elementary} \\ $$$$\mathrm{calculus} \\ $$$$\mathrm{a}\:\mathrm{solution}\:\mathrm{was}\:\mathrm{posted}\:\mathrm{on}\:\mathrm{this}\:\mathrm{forum}\:\mathrm{some} \\ $$$$\mathrm{time}\:\mathrm{ago} \\ $$…

How-many-moles-of-oxygen-atom-are-in-0-50-mol-of-Ca-ClO3-2-

Question Number 10214 by Tawakalitu ayo mi last updated on 30/Jan/17 $$\mathrm{How}\:\mathrm{many}\:\mathrm{moles}\:\mathrm{of}\:\mathrm{oxygen}\:\mathrm{atom}\:\mathrm{are}\:\mathrm{in} \\ $$$$\mathrm{0}.\mathrm{50}\:\mathrm{mol}\:\mathrm{of}\:\mathrm{Ca}\left(\mathrm{ClO3}\right)\mathrm{2} \\ $$ Commented by sandy_suhendra last updated on 31/Jan/17 $$\mathrm{moles}\:\mathrm{of}\:\mathrm{oxygen}=\mathrm{6}×\mathrm{0}.\mathrm{50}\:\mathrm{mol}=\mathrm{3}\:\mathrm{mol} \\…

4a-b-60-2-a-b-6-a-b-

Question Number 10213 by konen last updated on 30/Jan/17 $$\mathrm{4a}−\mathrm{b}=\mathrm{60} \\ $$$$\mathrm{2}\sqrt{\mathrm{a}}−\sqrt{\mathrm{b}}=\mathrm{6} \\ $$$$\Rightarrow\mathrm{a}+\mathrm{b}=? \\ $$ Answered by nume1114 last updated on 30/Jan/17 $$\:\:\:\:\:\left(\mathrm{2}\sqrt{{a}}−\sqrt{{b}}\right)\left(\mathrm{2}\sqrt{{a}}+\sqrt{{b}}\right)=\mathrm{4}{a}−{b} \\…

x-y-12-x-y-16-x-y-y-x-

Question Number 10212 by konen last updated on 30/Jan/17 $$\mathrm{x}+\mathrm{y}=\mathrm{12} \\ $$$$\mathrm{x}×\mathrm{y}=\mathrm{16} \\ $$$$\Rightarrow\sqrt{\frac{\mathrm{x}}{\mathrm{y}}}−\sqrt{\frac{\mathrm{y}}{\mathrm{x}}}\:=? \\ $$ Answered by ridwan balatif last updated on 30/Jan/17 $$\mathrm{x}+\mathrm{y}=\mathrm{12}\rightarrow\mathrm{x}=\mathrm{12}−\mathrm{y}…\left(\ast\right)…