Question

Îmi puteți face oricare dintre exerciții? Dau coroana ! Urgent!!!!

Answer 1

4. (de jos)

$\it \sqrt{0,07(1)}=\sqrt{\dfrac{71-7}{900}}= \sqrt{\dfrac{64}{900}}= \sqrt{\dfrac{8^2}{30^2}} = \dfrac{8}{30} \\ \\ \\ \sqrt{1,13(7)} =\sqrt{1 \dfrac{137-13}{900} }=\sqrt{1 \dfrac{124}{900} }=\sqrt{ \dfrac{1024}{90} }=\sqrt{ \dfrac{32^2}{30^2} }= \dfrac{32}{30} \\ \\ \\ \sqrt{0,4096}=\sqrt{ \dfrac{\ 4096^{(4}}{10000} }=\sqrt{ \dfrac{1024}{2500} }=\sqrt{ \dfrac{32^2}{50^2} }= \dfrac{32}{50}$

Acum,  proporția devine :

$\it \dfrac{x}{ \dfrac{8}{30} } = \dfrac{ \dfrac{32}{30} }{ \dfrac{32}{50} } \Rightarrow x\cdot \dfrac{\ 30^{(2}}{8}= \dfrac{32}{30}\cdot \dfrac{50}{32} \Rightarrow x\cdot \dfrac{15}{4} = \dfrac{5}{3} \Rightarrow x= \dfrac{5}{3}\cdot \dfrac{4}{15} \Rightarrow x= \dfrac{4}{9}$

Răspunsul  corect este  C.   $\it \dfrac{4}{9}$