If 10.09x0.09xx = 0.09 x 0.09 xVz.then the
value of a
Answers
Step-by-step explanation:
Wehave
0.09×0.09×x
=0.09×0.09×
z
/* On squaring both sides of the equation , we get */
\implies (\sqrt{0.09 \times 0.09 \times x })^{2} = ( 0.09 \times 0.09 \times \sqrt{z})^{2}⟹(
0.09×0.09×x
)
2
=(0.09×0.09×
z
)
2
\implies 0.09 \times 0.09 \times x = ( 0.09 \times 0.09)^{2} \times z⟹0.09×0.09×x=(0.09×0.09)
2
×z
\implies \frac{x}{z} = \frac{( 0.09 \times 0.09)^{2} }{(0.09 \times 0.09) }⟹
z
x
=
(0.09×0.09)
(0.09×0.09)
2
\begin{gathered} \implies \frac{x}{z} = \frac{(0.09\times 0.09 )}{1} \\= \frac{0.0081}{1} \end{gathered}
⟹
z
x
=
1
(0.09×0.09)
=
1
0.0081
Therefore.,
\red{ \frac{x}{z}}\green { = \frac{0.0081}{1}}
z
x
=
1
0.0081
Answer:
We know that,
(900)1/2 =30
(0.09) 1/2 =0.3 ( hint: 0.09 = 9/100 )
(0.000009) 1/2 =0.003
Therefore, the required answer is 30+0.3−0.003=30.297