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Category: Geometry

In-a-circle-PQRST-center-O-PQRS-is-a-cyclic-quadrilateral-and-T-is-on-the-circle-QS-is-a-diameter-and-angle-QOR-is-86-if-PTQ-is-28-Find-the-angles-of-the-quadrilateral-PQRS-

Question Number 8427 by tawakalitu last updated on 10/Oct/16 $$\mathrm{In}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{PQRST}\:\mathrm{center}\:\mathrm{O},\:\mathrm{PQRS}\:\mathrm{is}\:\mathrm{a}\: \\ $$$$\mathrm{cyclic}\:\mathrm{quadrilateral}\:\mathrm{and}\:\mathrm{T}\:\mathrm{is}\:\mathrm{on}\:\mathrm{the}\:\mathrm{circle}. \\ $$$$\mathrm{QS}\:\mathrm{is}\:\mathrm{a}\:\mathrm{diameter}\:\mathrm{and}\:\mathrm{angle}\:\mathrm{QOR}\:\mathrm{is}\:\mathrm{86}° \\ $$$$\mathrm{if}\:\mathrm{PTQ}\:\mathrm{is}\:\mathrm{28}°\:.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{angles}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{quadrilateral}\:\mathrm{PQRS}. \\ $$ Answered by sandy_suhendra last updated…

Question-8389

Question Number 8389 by tawakalitu last updated on 09/Oct/16 Answered by ridwan balatif last updated on 10/Oct/16 $$\mathrm{velocity}\:\mathrm{of}\:\mathrm{alarm}\:\mathrm{clock}\:\mathrm{before}\:\mathrm{strikes}\:\mathrm{the}\:\mathrm{ground}\:\mathrm{is} \\ $$$$\mathrm{v}=\sqrt{\mathrm{2gh}} \\ $$$$\:\:=\sqrt{\mathrm{2}×\mathrm{10}×\mathrm{15}} \\ $$$$\:\:=\sqrt{\mathrm{300}}\mathrm{m}/\mathrm{s} \\…

prove-that-10-divides-11-10-1-

Question Number 8359 by Nayon last updated on 09/Oct/16 $${prove}\:{that}\: \\ $$$$\mathrm{10}\:{divides}\:\mathrm{11}^{\mathrm{10}} −\mathrm{1} \\ $$ Commented by Rasheed Soomro last updated on 09/Oct/16 $$\mathrm{Actually}\:\mathrm{10}\:\mathrm{divides}\:\:\mathrm{11}^{\mathrm{n}} −\mathrm{1}\:\mathrm{for}\:\mathrm{n}\geqslant\mathrm{0}…

240-2-14319-

Question Number 8353 by Nayon last updated on 09/Oct/16 $$\sqrt{\mathrm{240}+\mathrm{2}\sqrt{\mathrm{14319}}}=? \\ $$ Answered by ridwan balatif last updated on 09/Oct/16 $$\sqrt{\left(\mathrm{111}+\mathrm{129}\right)+\mathrm{2}\sqrt{\mathrm{111}.\mathrm{129}}},\:\mathrm{remember}\::\sqrt{\left({a}+{b}\right)+\mathrm{2}\sqrt{{ab}}}=\sqrt{{a}}+\sqrt{{b}} \\ $$$$\sqrt{\mathrm{111}}+\sqrt{\mathrm{129}} \\ $$$$\mathrm{by}\:\mathrm{using}\:\mathrm{kalkulator},\:\mathrm{i}\:\mathrm{get}…

solve-5-3x-2-8-4x-2-33-9x-8-

Question Number 8350 by Nayon last updated on 09/Oct/16 $${solve}: \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\frac{\mathrm{5}}{\mathrm{3}{x}+\mathrm{2}}+\frac{\mathrm{8}}{\mathrm{4}{x}+\mathrm{2}}=\frac{\mathrm{33}}{\mathrm{9}{x}+\mathrm{8}} \\ $$ Answered by Rasheed Soomro last updated on 10/Oct/16 $$\:\frac{\mathrm{5}}{\mathrm{3}{x}+\mathrm{2}}+\frac{\mathrm{8}}{\mathrm{4}{x}+\mathrm{2}}=\frac{\mathrm{33}}{\mathrm{9}{x}+\mathrm{8}}…