Menu Close

Category: Coordinate Geometry

If-p-x-1-x-2-x-i-and-q-y-1-y-2-y-i-form-two-infinite-arithmetic-sequences-with-common-difference-a-and-b-respectively-then-find-the-locus-of-the-point-where-1-n-

Question Number 61274 by alphaprime last updated on 31/May/19 $${If}\:{p}\:,\:{x}_{\mathrm{1}} ,{x}_{\mathrm{2}} ,…{x}_{{i}} \:{and}\:{q},{y}_{\mathrm{1}} ,{y}_{\mathrm{2}} ,…{y}_{{i}} \:{form}\:{two}\: \\ $$$${infinite}\:{arithmetic}\:{sequences}\:{with}\:{common}\: \\ $$$${difference}\:\:{a}\:{and}\:{b}\:{respectively}\:, \\ $$$${then}\:{find}\:{the}\:{locus}\:{of}\:{the}\:{point}\:\left(\:\alpha\:,\:\beta\:\right)\: \\ $$$${where}\:\alpha\:=\:\frac{\mathrm{1}}{{n}}\:\sum_{{i}=\mathrm{1}} ^{{n}}…

What-is-the-value-of-inside-Area-of-ABCDEF-Such-that-AOB-120-ANB-60-R-ON-OA-OB-32cm-ArcAE-ArcBF-r-12cm-BASE-is-circulare-Aider-le-tailleur-a-savoir-la-surface-du-tissu-necessaire-pour-co

Question Number 191930 by a.lgnaoui last updated on 05/May/23 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{inside}\:\mathrm{Area}\:\mathrm{of} \\ $$$$\left(\mathrm{ABCDEF}\right)? \\ $$$$\mathrm{Such}\:\mathrm{that}:\:\measuredangle\mathrm{AOB}=\mathrm{120}\:\:\:\measuredangle\mathrm{ANB}=\mathrm{60};°\mathrm{R}=\mathrm{ON} \\ $$$$\:\left(\mathrm{OA}=\mathrm{OB}=\mathrm{32cm}\right)\:\mathrm{ArcAE}=\mathrm{ArcBF}\left(\mathrm{r}=\mathrm{12cm}\right) \\ $$$$\mathrm{BASE}\:\mathrm{is}\:\mathrm{circulare} \\ $$$$\left({Aider}\:{le}\:{tailleur}\:{a}\:{savoir}\:{la}\:{surface}\right. \\ $$$${du}\:{tissu}\:{necessaire}\:{pour}\:{couvrir}\: \\ $$$$\left.\:{l}\:'\mathrm{e}{space}\:{indique}\:{dans}\:{la}\:{figure}?\right) \\…

What-is-the-value-of-laterale-Shaded-Area-couronne-circulaire-coloree-R-10cm-20cm-h-24cm-COD-45-

Question Number 191927 by a.lgnaoui last updated on 04/May/23 $$\boldsymbol{\mathrm{W}}\mathrm{hat}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{laterale}\:\mathrm{Shaded} \\ $$$$\:\mathrm{Area}\:\:\left(\boldsymbol{\mathrm{couronne}}\:\boldsymbol{\mathrm{circulaire}}\:\:\boldsymbol{\mathrm{coloree}}?\right) \\ $$$$\:\:\boldsymbol{\mathrm{R}}=\mathrm{10}\boldsymbol{\mathrm{cm}}\:\:\:\mathrm{20}\boldsymbol{\mathrm{cm}}\leqslant\:\boldsymbol{\mathrm{h}}\leqslant\mathrm{24}\boldsymbol{\mathrm{cm}}\:\:\measuredangle\mathrm{COD}=\mathrm{45}° \\ $$$$\:\: \\ $$ Commented by a.lgnaoui last updated on 04/May/23…

Question-60812

Question Number 60812 by peter frank last updated on 26/May/19 Commented by tanmay last updated on 26/May/19 $${area}\:{of}\:{BCADB}=\mathrm{2}×\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{5}×\mathrm{12}=\mathrm{60} \\ $$$$\mathrm{60}=\mathrm{2}\left[\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{13}×{h}\right] \\ $$$${h}=\frac{\mathrm{60}}{\mathrm{13}} \\ $$$${sin}\theta_{\mathrm{1}} =\frac{{h}}{\mathrm{12}}\:\:\:{and}\:{sin}\theta_{\mathrm{2}}…

Comparer-OHDF-avec-ABHEF-avec-preuve-Sachant-que-OH-DF-HE-EF-OB-4OA-CH-2BC-et-BC-lt-OB-

Question Number 191642 by a.lgnaoui last updated on 30/Apr/23 $$\mathrm{Comparer}\:\left[\mathrm{OHDF}\right]\:\:\mathrm{avec}\:\left[\mathrm{ABHEF}\right] \\ $$$$\left({avec}\:{preuve}\right) \\ $$$$\:\:{Sa}\mathrm{c}{h}\mathrm{a}{nt}\:{que}: \\ $$$$\mathrm{OH}\mid\mid\mathrm{DF}\:\:\:\mathrm{HE}=\mathrm{EF}\:\:\:\mathrm{OB}=\mathrm{4OA} \\ $$$$\:\:\:\mathrm{CH}=\mathrm{2BC}\:\mathrm{et}\:\mathrm{BC}<\mathrm{OB}.\:\:\: \\ $$$$ \\ $$ Commented by a.lgnaoui…