Question

15p.

0,3 • a² = 30 • b² , aflați rapoartele :
a) $\frac{a {}^{2} }{b {}^{2} }$

b)$\frac{a}{b}$

Answer 1

a)
$0.3 \times {a}^{2} = 30 \times {b}^{2}$
${a}^{2} = \frac{30 \times {b}^{2} }{0.3}$
${a}^{2} = 30 {b}^{2} \div \frac{3}{10}$
${a}^{2} = 30 {b}^{2} \times \frac{10}{3}$
${a}^{2} = \frac{300 {b}^{2} }{3}$
${a}^{2} = 100b ^{2}$
$\frac{ {a}^{2} }{ {b}^{2} } = 100$
$b) \frac{ {a}^{2} }{ {b}^{2} } = 100$
$( \frac{a}{b} )^{2} = 100$
$\frac{a}{b} = \sqrt{100}$
$\frac{a}{b} = 10$