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Author: Tinku Tara

mathematics-5-11-x-13-3-x-x-N-find-values-of-x-

Question Number 148015 by mnjuly1970 last updated on 25/Jul/21 $$\:\:\:\:\:\:\:\:……..\:{mathematics}……. \\ $$$$\:\:\:\:\:\:\:\mathrm{5}\:\left(\mathrm{11}\right)^{\:{x}} \:\overset{\mathrm{13}} {\equiv}\:\mathrm{3}^{\:{x}} \:\:\:\:\:\left(\:{x}\:\in\:\mathbb{N}\:\right)\:\:\: \\ $$$$\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:{find}\:{values}\:{of}\:\:\:\:::\:\:\:\:{x}\:=\:? \\ $$$$ \\ $$ Commented by…

Six-points-A-B-C-D-E-and-F-are-placed-on-a-square-rigid-as-shown-How-many-triangles-that-are-not-right-angled-can-be-drawn-by-using-3-of-these-6-points-as-vertices-

Question Number 16940 by Tinkutara last updated on 28/Jun/17 $$\mathrm{Six}\:\mathrm{points}\:\mathrm{A},\:\mathrm{B},\:\mathrm{C},\:\mathrm{D},\:\mathrm{E},\:\mathrm{and}\:\mathrm{F}\:\mathrm{are} \\ $$$$\mathrm{placed}\:\mathrm{on}\:\mathrm{a}\:\mathrm{square}\:\mathrm{rigid},\:\mathrm{as}\:\mathrm{shown}. \\ $$$$\mathrm{How}\:\mathrm{many}\:\mathrm{triangles}\:\mathrm{that}\:\mathrm{are}\:\boldsymbol{\mathrm{not}} \\ $$$$\mathrm{right}-\mathrm{angled}\:\mathrm{can}\:\mathrm{be}\:\mathrm{drawn}\:\mathrm{by}\:\mathrm{using}\:\mathrm{3} \\ $$$$\mathrm{of}\:\mathrm{these}\:\mathrm{6}\:\mathrm{points}\:\mathrm{as}\:\mathrm{vertices}? \\ $$ Commented by Tinkutara last updated…

The-Object-shown-in-the-diagram-is-made-by-gluing-together-the-adjacent-faces-of-six-wooden-cubes-each-having-edges-of-length-2-cm-Find-the-total-surface-area-of-the-object-in-square-centimetres-

Question Number 16938 by Tinkutara last updated on 28/Jun/17 $$\mathrm{The}\:\mathrm{Object}\:\mathrm{shown}\:\mathrm{in}\:\mathrm{the}\:\mathrm{diagram}\:\mathrm{is} \\ $$$$\mathrm{made}\:\mathrm{by}\:\mathrm{gluing}\:\mathrm{together}\:\mathrm{the}\:\mathrm{adjacent} \\ $$$$\mathrm{faces}\:\mathrm{of}\:\mathrm{six}\:\mathrm{wooden}\:\mathrm{cubes},\:\mathrm{each}\:\mathrm{having} \\ $$$$\mathrm{edges}\:\mathrm{of}\:\mathrm{length}\:\mathrm{2}\:\mathrm{cm}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{total} \\ $$$$\mathrm{surface}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{object}\:\mathrm{in}\:\mathrm{square} \\ $$$$\mathrm{centimetres}. \\ $$ Commented by Tinkutara…

2-x-2-1-3-x-

Question Number 148011 by puissant last updated on 25/Jul/21 $$\mathrm{2}^{\left(\frac{\mathrm{x}}{\mathrm{2}}\right)} −\mathrm{1}=\mathrm{3}^{\mathrm{x}} \\ $$ Commented by mr W last updated on 25/Jul/21 $${x}>\mathrm{0}:\: \\ $$$$\mathrm{3}^{{x}} >\left(\sqrt{\mathrm{2}}\right)^{{x}}…

In-the-diagram-it-is-possible-to-travel-only-along-an-edge-in-the-direction-indicated-by-the-arrow-How-many-different-routes-from-A-to-B-are-there-in-all-

Question Number 16936 by Tinkutara last updated on 28/Jun/17 $$\mathrm{In}\:\mathrm{the}\:\mathrm{diagram},\:\mathrm{it}\:\mathrm{is}\:\mathrm{possible}\:\mathrm{to}\:\mathrm{travel} \\ $$$$\mathrm{only}\:\mathrm{along}\:\mathrm{an}\:\mathrm{edge}\:\mathrm{in}\:\mathrm{the}\:\mathrm{direction} \\ $$$$\mathrm{indicated}\:\mathrm{by}\:\mathrm{the}\:\mathrm{arrow}.\:\mathrm{How}\:\mathrm{many} \\ $$$$\mathrm{different}\:\mathrm{routes}\:\mathrm{from}\:\mathrm{A}\:\mathrm{to}\:\mathrm{B}\:\mathrm{are}\:\mathrm{there} \\ $$$$\mathrm{in}\:\mathrm{all}? \\ $$ Commented by Tinkutara last updated…

A-two-digit-number-has-the-property-that-the-square-of-its-tens-digit-plus-ten-times-its-units-digit-is-equal-to-the-square-of-its-units-digit-plus-ten-times-its-tens-digit-Find-all-two-digit-numbers

Question Number 16935 by Tinkutara last updated on 28/Jun/17 $$\mathrm{A}\:\mathrm{two}-\mathrm{digit}\:\mathrm{number}\:\mathrm{has}\:\mathrm{the}\:\mathrm{property} \\ $$$$\mathrm{that}\:\mathrm{the}\:\mathrm{square}\:\mathrm{of}\:\mathrm{its}\:\mathrm{tens}\:\mathrm{digit}\:\mathrm{plus} \\ $$$$\mathrm{ten}\:\mathrm{times}\:\mathrm{its}\:\mathrm{units}\:\mathrm{digit}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{the} \\ $$$$\mathrm{square}\:\mathrm{of}\:\mathrm{its}\:\mathrm{units}\:\mathrm{digit}\:\mathrm{plus}\:\mathrm{ten}\:\mathrm{times} \\ $$$$\mathrm{its}\:\mathrm{tens}\:\mathrm{digit}.\:\mathrm{Find}\:\mathrm{all}\:\mathrm{two}\:\mathrm{digit} \\ $$$$\mathrm{numbers}\:\mathrm{which}\:\mathrm{have}\:\mathrm{this}\:\mathrm{property},\:\mathrm{and} \\ $$$$\mathrm{are}\:\mathrm{prime}\:\mathrm{numbers}. \\ $$ Answered…

dx-x-2-k-2-3-2-

Question Number 148000 by vvvv last updated on 25/Jul/21 $$\underset{−\infty} {\overset{+\infty} {\int}}\frac{\boldsymbol{{dx}}}{\left(\boldsymbol{{x}}^{\mathrm{2}} +\boldsymbol{{k}}^{\mathrm{2}} \right)^{\frac{\mathrm{3}}{\mathrm{2}}} } \\ $$ Answered by gsk2684 last updated on 25/Jul/21 $$\mathrm{2}\underset{{x}=\mathrm{0}}…

Question-147999

Question Number 147999 by iloveisrael last updated on 25/Jul/21 Answered by Canebulok last updated on 25/Jul/21 $$\: \\ $$$$\boldsymbol{{Solution}}: \\ $$$$\Rightarrow\:\mathrm{16}\centerdot\left(\mathrm{2}{x}\right)^{\frac{\mathrm{1}}{\left(\frac{{x}}{\mathrm{2}}\right)}} \:=\:\left(\mathrm{8}{x}\right)^{\frac{\mathrm{1}}{\mathrm{2}}} \\ $$$$\: \\…