Ответ:
[tex]5,2[/tex]
Объяснение:
[tex]\frac{a}{b}=\frac{8}{3}\\\\3a=8b\ \ \ |:3\\\\a=\frac{8}{3}b[/tex] [tex]\frac{b}{c}=\frac{3}{4}\\\\4b=3c\ \ \ |:4\\\\b=\frac{3}{4}c[/tex] [tex]\frac{c}{d}=\frac{5}{2} \\\\2c=5d\ \ \ |:2\\\\c=\frac{5}{2}d[/tex]
[tex]b=\frac{3}{4}c=\frac{3}{4}\cdot \frac{5}{2}d=\frac{15}{8}d\\\\a=\frac{8}{3}b=\frac{8}{3}\cdot \frac{15}{8}d=5d[/tex]
[tex]\frac{(5d)^2+d^2}{2\cdot \frac{5}{2}d\cdot d}=\frac{25d^2+d^2}{5d^2}=\frac{26d^2}{5d^2}=\frac{26}{5}=5,2[/tex]
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Answers & Comments
Ответ:
[tex]5,2[/tex]
Объяснение:
[tex]\frac{a}{b}=\frac{8}{3}\\\\3a=8b\ \ \ |:3\\\\a=\frac{8}{3}b[/tex] [tex]\frac{b}{c}=\frac{3}{4}\\\\4b=3c\ \ \ |:4\\\\b=\frac{3}{4}c[/tex] [tex]\frac{c}{d}=\frac{5}{2} \\\\2c=5d\ \ \ |:2\\\\c=\frac{5}{2}d[/tex]
[tex]b=\frac{3}{4}c=\frac{3}{4}\cdot \frac{5}{2}d=\frac{15}{8}d\\\\a=\frac{8}{3}b=\frac{8}{3}\cdot \frac{15}{8}d=5d[/tex]
[tex]\frac{(5d)^2+d^2}{2\cdot \frac{5}{2}d\cdot d}=\frac{25d^2+d^2}{5d^2}=\frac{26d^2}{5d^2}=\frac{26}{5}=5,2[/tex]