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Category: Arithmetic

an-early-question-for-the-new-year-how-many-rectangular-triangles-with-sides-a-b-c-N-exist-with-one-side-2019-

Question Number 46809 by MJS last updated on 31/Oct/18 $$\mathrm{an}\:\mathrm{early}\:\mathrm{question}\:\mathrm{for}\:\mathrm{the}\:\mathrm{new}\:\mathrm{year} \\ $$$$\mathrm{how}\:\mathrm{many}\:\mathrm{rectangular}\:\mathrm{triangles}\:\mathrm{with}\:\mathrm{sides} \\ $$$${a},\:{b},\:{c}\:\in\mathbb{N}^{\bigstar} \:\mathrm{exist}\:\mathrm{with}\:\mathrm{one}\:\mathrm{side}\:=\mathrm{2019} \\ $$ Answered by MrW3 last updated on 02/Nov/18 $${a}^{\mathrm{2}}…

Question-46686

Question Number 46686 by peter frank last updated on 30/Oct/18 Commented by peter frank last updated on 30/Oct/18 $$\mathrm{ABCDEFGH}\:\mathrm{is}\:\mathrm{a}\:\mathrm{cube}.\mathrm{find}\:\mathrm{the} \\ $$$$\mathrm{projections}\:\mathrm{of} \\ $$$$\left.\mathrm{a}\right)\mathrm{AF}\:\mathrm{on}\:\:\mathrm{ABCD} \\ $$$$\left.\mathrm{b}\right)\mathrm{AG}\:\mathrm{on}\:\mathrm{ABCD}…

If-a-b-ab-4-1-then-a-b-a-gt-b-

Question Number 177648 by BaliramKumar last updated on 07/Oct/22 $${If}\:\:\frac{{a}\:+\:{b}}{\:\sqrt{{ab}}}\:=\:\frac{\mathrm{4}}{\mathrm{1}}\:{then}\:\:\:\:{a}\::\:{b}\:=\:?\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left[\:{a}>{b}\:\right] \\ $$ Answered by Rasheed.Sindhi last updated on 07/Oct/22 $${a}+{b}=\mathrm{4}\sqrt{{ab}}\: \\ $$$${a}^{\mathrm{2}} +{b}^{\mathrm{2}} =\mathrm{16}{ab}−\mathrm{2}{ab}=\mathrm{14}{ab} \\…

Solve-n-1-log-n-n-2-

Question Number 46567 by Tawa1 last updated on 28/Oct/18 $$\mathrm{Solve}:\:\:\:\:\:\:\underset{\mathrm{n}\:=\:\mathrm{1}} {\overset{\infty} {\boldsymbol{\sum}}}\:\:\left(\frac{\mathrm{log}\:\boldsymbol{\mathrm{n}}}{\boldsymbol{\mathrm{n}}}\right)^{\mathrm{2}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-46552

Question Number 46552 by peter frank last updated on 28/Oct/18 Commented by MJS last updated on 28/Oct/18 $$\left.{b}\right)\:\mathrm{is}\:\mathrm{not}\:\mathrm{clear}.\:\mathrm{what}\:\mathrm{does}\:\mathrm{this}\:\mathrm{mean}\:“\mathrm{if}\:\left(\mathrm{it}?\right) \\ $$$$\mathrm{is}\:\mathrm{parallel}\:\mathrm{to}\:{y}=\mathrm{2}{x}+\mathrm{3}\:\mathrm{at}\:\begin{pmatrix}{\mathrm{0}}\\{\mathrm{1}}\end{pmatrix}''?\:\mathrm{if}\:\begin{pmatrix}{\mathrm{0}}\\{\mathrm{1}}\end{pmatrix}\:\mathrm{is}\:\mathrm{a}\:\mathrm{point} \\ $$$$\mathrm{on}\:\mathrm{the}\:\mathrm{curve}\:\begin{pmatrix}{\mathrm{0}}\\{\mathrm{4}}\end{pmatrix}\:\mathrm{cannot}\:\mathrm{be}\:\mathrm{or}\:\mathrm{vice}\:\mathrm{versa}. \\ $$$$\mathrm{please}\:\mathrm{check}\:\mathrm{this} \\…