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Category: Geometry

Water-flows-out-of-a-tank-through-a-hole-of-diameter-2cm-above-the-hole-1-Determine-the-velocity-of-outflow-2-The-rate-of-outflow-when-the-level-of-the-water-in-the-tank-is-2cm-above-the-hole-

Question Number 12499 by tawa last updated on 23/Apr/17 $$\mathrm{Water}\:\mathrm{flows}\:\mathrm{out}\:\mathrm{of}\:\mathrm{a}\:\mathrm{tank}\:\mathrm{through}\:\mathrm{a}\:\mathrm{hole}\:\mathrm{of}\:\mathrm{diameter}\:\mathrm{2cm}\:\mathrm{above}\:\mathrm{the}\:\mathrm{hole} \\ $$$$\left(\mathrm{1}\right)\:\mathrm{Determine}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{outflow} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{The}\:\mathrm{rate}\:\mathrm{of}\:\mathrm{outflow}\:\mathrm{when}\:\mathrm{the}\:\mathrm{level}\:\mathrm{of}\:\mathrm{the}\:\mathrm{water}\:\mathrm{in}\:\mathrm{the}\:\mathrm{tank}\:\mathrm{is}\:\mathrm{2cm}\:\mathrm{above} \\ $$$$\mathrm{the}\:\mathrm{hole}.\: \\ $$ Answered by sandy_suhendra last updated on 24/Apr/17…

Question-77966

Question Number 77966 by mr W last updated on 12/Jan/20 Answered by john santu last updated on 12/Jan/20 $${ratio}\:{area}\:=\:\mathrm{4}\::\:\mathrm{9}\::\:\mathrm{49}\: \\ $$$${ratio}\:{of}\:{side}\:=\:\mathrm{2}:\mathrm{3}:\mathrm{7} \\ $$$${area}\:{ABC}\:=\:\mathrm{36}×\mathrm{4}\:=\:\mathrm{144} \\ $$…

Find-the-nth-term-of-the-sequence-1-1-3-1-15-1-35-1-63-1-99-2-1-2-1-6-1-12-1-20-1-30-

Question Number 12267 by tawa last updated on 17/Apr/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{nth}\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sequence} \\ $$$$\left.\mathrm{1}\right)\:\:\:\frac{\mathrm{1}}{\mathrm{3}}\:,\:\frac{\mathrm{1}}{\mathrm{15}}\:,\:\frac{\mathrm{1}}{\mathrm{35}}\:,\:\frac{\mathrm{1}}{\mathrm{63}}\:,\:\frac{\mathrm{1}}{\mathrm{99}} \\ $$$$\left.\mathrm{2}\right)\:\:\:\:\frac{\mathrm{1}}{\mathrm{2}},\:\frac{\mathrm{1}}{\mathrm{6}},\:\frac{\mathrm{1}}{\mathrm{12}},\:\frac{\mathrm{1}}{\mathrm{20}},\:\frac{\mathrm{1}}{\mathrm{30}} \\ $$ Answered by ajfour last updated on 17/Apr/17 $$\left.\mathrm{1}\right)\:\:{T}_{{n}} =\frac{\mathrm{1}}{\mathrm{4}{n}^{\mathrm{2}}…

Determinant-method-can-be-used-to-solve-the-system-below-if-yes-solve-by-determinant-method-and-if-no-solve-by-another-method-x-y-z-8-2x-y-2z-3-give-clear-reason-for-your-answer-

Question Number 12265 by frank ntulah last updated on 17/Apr/17 $${Determinant}\:{method}\:{can}\:{be}\:{used}\:{to}\:{solve} \\ $$$${the}\:{system}\:{below}?,\:\mathrm{if}\:\mathrm{yes}\:\mathrm{solve}\:\mathrm{by}\:\mathrm{determinant}\:\mathrm{method}\:\mathrm{and} \\ $$$$\:\mathrm{if}\:\mathrm{no}\:\mathrm{solve}\:\mathrm{by}\:\mathrm{another}\:\mathrm{method} \\ $$$$\:\:\:\:\:\:\:\:\: \\ $$$${x}+{y}−{z}=\mathrm{8} \\ $$$$\mathrm{2}{x}+{y}−\mathrm{2}{z}=\mathrm{3} \\ $$$$\left({give}\:{clear}\:{reason}\:{for}\:{your}\:{answer}\right) \\ $$…