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aflati numarul natural a din proportiile a)3/7=a\28 b)a/2=7/3,5 c)4/a=a/9 d) 0,6/2·a=0,9/21

Răspuns :

Răspuns:

Explicație pas cu pas:

a)

[tex] \frac{3}{7} = \frac{a}{28} \Longrightarrow a = \frac{3 \times 28}{7} = \frac{84}{7} = \blue{\bf{} 12} \\ [/tex]

b)

[tex] \frac{a}{2} = \frac{7}{3,5} \Longrightarrow a = \frac{7 \times 2}{3,5} = \frac{14}{3,5} =\blue{ \bf{} 4 }\\ [/tex]

c)

[tex] \frac{4}{a} = \frac{a}{9} \Longrightarrow a {}^{2} = 4 \times 9 = 36 \Longrightarrow a = \sqrt{36} = \blue{\bf{} 6} \\ [/tex]

d)

[tex] \frac{0,6}{2a} = \frac{0,9}{21} \\ [/tex]

[tex]2 \times a \times 0,9 = 0,6 \times 21[/tex]

[tex]1,8\times a = 12,6 \Longrightarrow a = \frac{12,6}{1,8} = \blue{\bf{} 7} \\ [/tex]