Question

In the following what comes in the figure (?)
(0.06)2 + (0.47)2 + (0.079)2
= ?
(0.006)2 + (0.047)2 + (0.0079)2

Answer 1

Answer:

$\red {?} \green {= 100}$

Step-by-step explanation:

$(0.06)^{2}+(0.47)^{2}+(0.079)^{2}\\= \red{?} [(0.006)^{2}+(0.047)^{2}+(0.0079)^{2}]$

$\implies \red{?} = \frac{(0.06)^{2}+(0.47)^{2}+(0.079)^{2}}{[(0.006)^{2}+(0.047)^{2}+(0.0079)^{2}]}$

$= \frac{10^{2}[(0.06)^{2}+(0.47)^{2}+(0.079)^{2}]}{10^{2}[(0.006)^{2}+(0.047)^{2}+(0.0079)^{2}]}$

$= \frac{10^{2}[(0.06)^{2}+(0.47)^{2}+(0.079)^{2}]}{[(0.06)^{2}+(0.47)^{2}+(0.079)^{2}]}$

$= 10^{2} \\= 100$

Therefore.,

$\red {?} \green {= 100}$

•••♪

Answer 2

Answer:

100

Step-by-step explanation:

(0.06)

2

+(0.47)

2

+(0.079)

2

=

(

10

0.06

)

2

+(

10

0.47

)

2

+(

10

0.079

)

2

(0.06)

2

+(0.47)

2

+(0.079)

2

=

⎣

⎢

⎢

⎢

⎢

⎡

(10

2

)

1

((0.06)

2

+(0.47)

2

+(0.079)

2

)

(0.06)

2

+(0.47)

2

+(0.079)

2

⎦

⎥

⎥

⎥

⎥

⎤

=100[

(0.06)

2

+(0.47)

2

+(0.079)

2

(0.06)

2

+(0.47)

2

+(0.079)

2

]

=100