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Category: Geometry

6-8-

Question Number 5447 by 3 last updated on 15/May/16 $$\mathrm{6}/\mathrm{8} \\ $$$$ \\ $$ Answered by FilupSmith last updated on 15/May/16 $$\frac{\mathrm{6}}{\mathrm{8}}=\frac{\mathrm{2}×\mathrm{3}}{\mathrm{2}×\mathrm{4}} \\ $$$$=\frac{\mathrm{2}}{\mathrm{2}}×\frac{\mathrm{3}}{\mathrm{4}} \\…

Question-5441

Question Number 5441 by Rasheed Soomro last updated on 15/May/16 Commented by Rasheed Soomro last updated on 15/May/16 $$\left(\mathrm{a}\right)\:\mathrm{AB}=\mathrm{a}\:,\:\mathrm{BC}=\mathrm{b}\:,\:\mathrm{Area}\:\mathrm{EFGH}=? \\ $$$$ \\ $$$$\left(\mathrm{b}\right)\:\:\mathrm{Prove}\:\mathrm{that}\:\mathrm{if}\:\mathrm{ABCD}\:\mathrm{is}\:\mathrm{a}\:\mathrm{rectangle}\: \\ $$$$\:\:\:\:\:\:\:\:\mathrm{then}\:\mathrm{EFGH}\:\mathrm{is}\:\mathrm{a}\:\mathrm{parallelogram}.…

Prove-or-disprove-that-the-circle-has-the-largest-Perimiter-over-all-natural-shapes-that-have-area-A-

Question Number 5417 by FilupSmith last updated on 14/May/16 $$\mathrm{Prove},\:\mathrm{or}\:\mathrm{disprove},\:\mathrm{that}\:\mathrm{the}\:\mathrm{circle} \\ $$$$\mathrm{has}\:\mathrm{the}\:\mathrm{largest}\:{Perimiter}\:\mathrm{over}\:\mathrm{all} \\ $$$$\mathrm{natural}\:\mathrm{shapes}\:\mathrm{that}\:\mathrm{have}\:\mathrm{area}\:{A} \\ $$ Commented by Rasheed Soomro last updated on 14/May/16 $$\mathrm{I}\:\mathrm{think}\:\mathrm{that}\:\mathrm{the}\:\mathrm{circle}\:\mathrm{has}\:\mathrm{the}\:\mathrm{smallest}…

Question-5410

Question Number 5410 by FilupSmith last updated on 14/May/16 Commented by FilupSmith last updated on 14/May/16 $$\mathrm{An}\:\mathrm{equilateral}\:\mathrm{triangle}\:\mathrm{with}\:\mathrm{sides}\:\mathrm{of} \\ $$$$\mathrm{length}\:{L},\:\mathrm{contains}\:\mathrm{a}\:\mathrm{rectangle}\:\mathrm{with} \\ $$$$\mathrm{lengths}\:{a}\:\mathrm{and}\:{b}. \\ $$$$ \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{size}\:\mathrm{of}\:\mathrm{the}\:\mathrm{rectangle}?…

If-we-have-an-n-dimensional-cube-How-do-we-find-its-volume-

Question Number 5398 by FilupSmith last updated on 13/May/16 $$\mathrm{If}\:\mathrm{we}\:\mathrm{have}\:\mathrm{an}\:{n}−\mathrm{dimensional}\:\mathrm{cube}. \\ $$$$\mathrm{How}\:\mathrm{do}\:\mathrm{we}\:\mathrm{find}\:\mathrm{its}\:'{volume}'? \\ $$ Commented by Rasheed Soomro last updated on 13/May/16 $$\mathrm{Suppose}\:\mathrm{s}\:\:\mathrm{is}\:\mathrm{measure}\:\mathrm{of}\:\mathrm{side}\:\mathrm{of}\: \\ $$$$\mathrm{n}-\mathrm{dimensional}\:\mathrm{cube}.…

Question-5354

Question Number 5354 by Rasheed Soomro last updated on 11/May/16 Commented by Rasheed Soomro last updated on 11/May/16 $$\mathrm{ABCD}\:\mathrm{and}\:\mathrm{EFGH}\:\mathrm{are}\:\mathrm{squares}\:\mathrm{in} \\ $$$$\mathrm{above}\:\mathrm{figure}.\mathrm{The}\:\mathrm{centres}\:\mathrm{of}\:\mathrm{the}\:\:\mathrm{arcs}\: \\ $$$$\mathrm{are}\:\mathrm{vertices}\:\mathrm{of}\:\mathrm{the}\:\mathrm{external}\:\mathrm{square}. \\ $$$$\mathrm{If}\:\:\mathrm{EF}=\mathrm{t}\:\mathrm{then}\:\mathrm{AB}=?…

Suppose-the-radius-of-the-earth-is-6400km-the-acceleration-of-a-person-at-latitude-60-due-to-the-earth-rotation-is-a-0-034m-s-2-b-232-7m-s-2-c-0-0169m-s-2-d-465-4m-s-2-Please-help-

Question Number 5350 by sanusihammed last updated on 09/May/16 $${Suppose}\:{the}\:{radius}\:{of}\:{the}\:{earth}\:{is}\:\mathrm{6400}{km}.\:{the}\:{acceleration}\: \\ $$$${of}\:{a}\:{person}\:{at}\:{latitude}\:\mathrm{60}°\:{due}\:{to}\:{the}\:{earth}\:{rotation}\:{is}\:? \\ $$$$ \\ $$$$\left({a}\right)\:\mathrm{0}.\mathrm{034}{m}/{s}^{\mathrm{2}} \\ $$$$\left({b}\right)\:\mathrm{232}.\mathrm{7}{m}/{s}^{\mathrm{2}} \\ $$$$\left({c}\right)\:\mathrm{0}.\mathrm{0169}{m}/{s}^{\mathrm{2}} \\ $$$$\left({d}\right)\:\mathrm{465}.\mathrm{4}{m}/{s}^{\mathrm{2}} \\ $$$$ \\…