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Category: Geometry

Question-138519

Question Number 138519 by mr W last updated on 14/Apr/21 Commented by mr W last updated on 14/Apr/21 $${from}\:{an}\:{arbitrary}\:{triangle}\:{ABC} \\ $$$${points}\:{P},{Q},{R}\:{are}\:{constructed}\:{as} \\ $$$${shown}\:{with}\:\alpha+\beta+\gamma=\mathrm{360}°. \\ $$$${prove}\:{that}\:{the}\:{interior}\:{angles}\:{of}…

Question-72952

Question Number 72952 by ajfour last updated on 05/Nov/19 Commented by ajfour last updated on 05/Nov/19 $${AB}\:{divides}\:{the}\:{composite}\:{figure} \\ $$$${of}\:{square}\:{mounted}\:{by}\:{a}\:{semicircle} \\ $$$${in}\:{two}\:{equal}\:{parts}.\:{Determine}\:\alpha. \\ $$ Commented by…

Question-72894

Question Number 72894 by TawaTawa last updated on 04/Nov/19 Answered by mind is power last updated on 04/Nov/19 $$\mathrm{lets}\:\mathrm{assum}\:\mathrm{n},\mathrm{m}\:\mathrm{are}\:\mathrm{relativ}\:\mathrm{prime} \\ $$$$ \\ $$$$\mathrm{let}\:\mathrm{N}=\mathrm{p}_{\mathrm{1}} ^{\mathrm{k1}} .\mathrm{p}_{\mathrm{2}}…

Is-it-correct-floor-x-x-x-floor-x-n-n-Z-x-1-lt-n-x-e-g-floor-3-3-floor-3-4-3-floor-2-5-3-floor-pi-4-

Question Number 7326 by sou1618 last updated on 23/Aug/16 $${Is}\:{it}\:{correct}? \\ $$$$\:\:{floor}\left({x}\right)=\lfloor{x}\rfloor=\left[{x}\right] \\ $$$$ \\ $$$$ \\ $$$${floor}\left({x}\right)=\left\{{n}\:\mid\:{n}\in\mathbb{Z}\:,\:{x}−\mathrm{1}<{n}\leqslant{x}\right\} \\ $$$${e}.{g}…. \\ $$$${floor}\left(\mathrm{3}\right)=\mathrm{3} \\ $$$${floor}\left(\mathrm{3}.\mathrm{4}\right)=\mathrm{3} \\…

Question-7314

Question Number 7314 by Rasheed Soomro last updated on 23/Aug/16 Commented by Rasheed Soomro last updated on 23/Aug/16 $${Top}\:{and}\:{bottom}\:{of}\:{a}\:{solid}\:{are}\:{congruent}\:{circles}. \\ $$$${Above}\:{is}\:{the}\:{cross}-{section}\:{of}\:{the}\:{solid},\:{which}\: \\ $$$${is}\:{obtained}\:{by}\:{cutting}\:{the}\:{solid}\:{in}\:{two}\:{equal}\:{parts}. \\ $$$${Find}\:{out}\:{the}\:{volume}\:{of}\:{the}\:{solid}.…