Category: Algebra

Question Number 205492 by BaliramKumar last updated on 22/Mar/24 Answered by cortano12 last updated on 22/Mar/24 $$\Rightarrow \underset{\mathrm{i}=1}{\prod ^5}{\mathrm{T}}_{\mathrm{i}}={\mathrm{T}}_3^5=3^5=243$$…

Question Number 205471 by Fridunatjan08 last updated on 21/Mar/24 $$Solvetheequation:\frac{x}{21}+\frac{x}{77}+\frac{x}{165}+\frac{x}{285}=200$$ Answered by Rasheed.Sindhi last updated on 23/Mar/24 $$\frac{x}{21}+\frac{x}{77}+\frac{x}{165}+\frac{x}{285}=200$$$$x(\frac{1}{21}+\frac{1}{77}+\frac{1}{165}+\frac{1}{285})=200$$$${x}\left(\:\frac{\mathrm{1}}{\mathrm{7}}\left(\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{11}}\right)+\frac{\mathrm{1}}{\mathrm{15}}\left(\frac{\mathrm{1}}{\mathrm{11}}+\frac{\mathrm{1}}{\mathrm{19}}\right)\right)=\mathrm{200} \…

Question Number 205460 by hardmath last updated on 21/Mar/24 $$\mathrm{If}3\mathrm{cosx}=8\sin (30°-\mathrm{x})$$$$\mathrm{Find}:\mathrm{tanx}=?$$ Answered by MM42 last updated on 21/Mar/24 $$3cosx=4cosx-4\sqrt{3}sinx$$$$\Rightarrow{cosx}=\mathrm{4}\sqrt{\mathrm{3}}{sinx}\Rightarrow{tanx}=\frac{\sqrt{\mathrm{3}}}{\mathrm{12}}\:\:\checkmark \…

Question Number 205431 by hardmath last updated on 21/Mar/24 $$\mathrm{Prove}\mathrm{that}\mathrm{in}\mathrm{any}△\mathrm{ABC}$$$$\frac{\mathrm{cotA}\mathrm{cotB}\mathrm{cotC}}{\mathrm{sinA}\mathrm{sinB}\mathrm{sinC}}⩽\frac{8}{27}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 205422 by hardmath last updated on 20/Mar/24 $$\mathrm{If}$$$$(\mathrm{a}+1)(\mathrm{b}+1)(\mathrm{c}+1)=8$$$$\mathrm{Then}:$$$${\mathrm{a}}^2+{\mathrm{b}}^2+{\mathrm{c}}^2⩾3$$ Answered by A5T last…