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Question-158593

Question Number 158593 by mathlove last updated on 06/Nov/21 Answered by cortano last updated on 07/Nov/21 $$\begin{cases}{\mathrm{log}\:_{{y}} \left({x}\right)=\mathrm{log}\:_{{x}} \left(\mathrm{2}\right)}\\{\mathrm{log}\:_{{x}} \left({y}\right).\mathrm{log}\:_{{x}} \left({y}\right)=\mathrm{log}\:_{{x}} \left(\mathrm{16}\right)}\end{cases} \\ $$$$\Rightarrow\left[\:\mathrm{log}\:_{{x}} \left({y}\right)\right]^{\mathrm{2}}…

show-that-3-is-an-irrarional-number-

Question Number 158567 by MathsFan last updated on 06/Nov/21 $$\:\mathrm{show}\:\mathrm{that}\:\sqrt{\mathrm{3}}\:\mathrm{is}\:\mathrm{an}\: \\ $$$$\:\mathrm{irrarional}\:\mathrm{number} \\ $$ Commented by mr W last updated on 06/Nov/21 $${assume}\:\sqrt{\mathrm{3}}=\frac{{p}}{{q}}\:{with}\:{gcd}\left({p},{q}\right)=\mathrm{1} \\ $$$${p}^{\mathrm{2}}…

Question-92997

Question Number 92997 by naka3546 last updated on 10/May/20 Answered by mr W last updated on 10/May/20 $${say}\:{area}\:{of}\:{parallelogram}\:{is}\:{S} \\ $$$$\left[{AED}\right]+\left[{CEB}\right]=\frac{{S}}{\mathrm{2}} \\ $$$$\left[{AED}\right]=\frac{{S}}{\mathrm{2}}−\mathrm{4321} \\ $$$$\left[{ADC}\right]=\frac{{S}}{\mathrm{2}}=\left[{AED}\right]+\left[{CED}\right]+\left[{CEA}\right] \\…

n-1-1-n-2-2n-1-3-

Question Number 158531 by amin96 last updated on 05/Nov/21 $$\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\boldsymbol{{n}}^{\mathrm{2}} \left(\mathrm{2}\boldsymbol{{n}}+\mathrm{1}\right)^{\mathrm{3}} }=? \\ $$ Answered by qaz last updated on 06/Nov/21 $$\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty}…

perimeter-of-a-squre-112m-what-is-its-area-

Question Number 27403 by sirigidiravikumar@gmail.com last updated on 06/Jan/18 $${perimeter}\:{of}\:{a}\:{squre}\:\mathrm{112}{m}.{what}\:{is}\:{its}\:{area}.. \\ $$ Answered by Rasheed.Sindhi last updated on 06/Jan/18 $$\mathrm{side}\:\mathrm{of}\:\mathrm{square}=\frac{\mathrm{112}}{\mathrm{4}}=\mathrm{28}\:\mathrm{m} \\ $$$$\mathrm{Area}=\mathrm{28}^{\mathrm{2}} =\mathrm{784}\:\mathrm{sq}.\:\mathrm{meters} \\ $$…