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Category: Geometry

7-6-8-7-9-8-n-n-1-84-n-

Question Number 11935 by uni last updated on 05/Apr/17 $$\frac{\mathrm{7}!}{\mathrm{6}!}+\frac{\mathrm{8}!}{\mathrm{7}!}+\frac{\mathrm{9}!}{\mathrm{8}!}+…\frac{\mathrm{n}!}{\left(\mathrm{n}−\mathrm{1}\right)!}=\mathrm{84}\:\Rightarrow\mathrm{n}=? \\ $$ Answered by bahmanfeshki1 last updated on 06/Apr/17 $${n}=\mathrm{14} \\ $$ Answered by ajfour…

Question-11915

Question Number 11915 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 04/Apr/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 04/Apr/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 04/Apr/17 $${see}\:{diagram}\Uparrow\Uparrow\Uparrow.\left({not}\:{in}\:{scale}\right) \\…

Question-77420

Question Number 77420 by BK last updated on 06/Jan/20 Commented by mr W last updated on 06/Jan/20 $${the}\:{three}\:{triangles}\:{are}\:{similar}. \\ $$$${the}\:{radii}\:{of}\:{their}\:{incircles}\:{are}\:{in} \\ $$$${the}\:{same}\:{ratio}\:{as}\:{their}\:{side}\:{lengthes}, \\ $$$${therefore}\:{x}=\mathrm{5}. \\…

S-ABCD-3-2-2-BAO-MAO-22-5-BCM-DCM-S-AOB-

Question Number 11880 by @ANTARES_VY last updated on 03/Apr/17 $$\boldsymbol{\mathrm{S}}_{\boldsymbol{\mathrm{ABCD}}} =\mathrm{3}+\mathrm{2}\sqrt{\mathrm{2}} \\ $$$$\angle\boldsymbol{\mathrm{BAO}}=\angle\boldsymbol{\mathrm{MAO}}=\mathrm{22},\mathrm{5}° \\ $$$$\angle\boldsymbol{\mathrm{BCM}}=\angle\boldsymbol{\mathrm{DCM}} \\ $$$$\boldsymbol{\mathrm{S}}_{\boldsymbol{\mathrm{AOB}}} =? \\ $$ Terms of Service Privacy Policy…

x-2-dcosx-

Question Number 11827 by uni last updated on 01/Apr/17 $$\int\mathrm{x}^{\mathrm{2}} \mathrm{dcosx}=? \\ $$ Answered by mrW1 last updated on 01/Apr/17 $$={x}^{\mathrm{2}} \mathrm{cos}\:{x}−\int\mathrm{cos}\:{xd}\left({x}^{\mathrm{2}} \right) \\ $$$$={x}^{\mathrm{2}}…

sin-2-7cos-2-6-find-

Question Number 11781 by tawa last updated on 31/Mar/17 $$\mathrm{sin}\left(\mathrm{2}\theta\right)\:+\:\mathrm{7cos}\left(\mathrm{2}\theta\right)\:=\:\mathrm{6} \\ $$$$\mathrm{find}\:\theta \\ $$ Answered by sma3l2996 last updated on 31/Mar/17 $$\mathrm{2}{sin}\left(\theta\right){cos}\left(\theta\right)+\mathrm{7}{cos}^{\mathrm{2}} \left(\theta\right)−\mathrm{7}{sin}^{\mathrm{2}} \left(\theta\right)=\mathrm{6} \\…