Question

Please answer soon I will mark you as brainlist ​

Answer 1

1) Express each of the given ratio in simplest form :-

1) 40kg : 1 Qunintal

Answer :

$\boxed{\tt{1 \: qunintal \: = 100kg}}$

$= \green{ \tt{40kg : \: 100kg }}$

$= \tt{ \green{ \frac{40kg}{100kg} = { \frac{\cancel{40kg} \: \pink{2}}{\cancel{100kg} \: \pink{5}} } }}$

$\boxed{ \boxed{ \tt{ \pink{2 : \: 5 }}}} \green\bigstar$

2) 200m : 5km

Answer :

$\boxed{\tt{1 \: km\: = 1000m}}$

$= \red{ \tt{200m : \: 5000m }}$

$= \tt{ \red{ \frac{200m}{5000m} = { \frac{\cancel{200m} \: \purple{1}}{\cancel{5000m} \: \purple{25}} } }}$

$\boxed{ \boxed{ \tt{ \purple{1 : \: 25 }}}} \red\bigstar$

3) 6 months : 2 years

$\boxed{\tt{1 \:year\: = 12months }}$

$\boxed{\tt{2 \:year\: = 12 \times 2 \: months = 24 \: months }}$

$= \orange{ \tt{6 \: month : \: 24 \: months }}$

$= \tt{ \orange{ \frac{6 \: months}{24 \: months} = { \frac{\cancel{6 \: months} \: \blue{1}}{\cancel{24 \: months} \: \blue{4}} } }}$

$\boxed{ \boxed{ \tt{ \blue{1 \: : \:4 }}}} \orange\bigstar$

2 ) Divide the angle of a triangle in the ratio 5:4:3.

= Angles are in the ratio 5 : 4 : 3

Let the angles be 5x : 4x : 3x

$\boxed{\tt{sum \: of \: angles \: of \: triangle \: = 180degree }}$

$\tt{\purple{5x \: + 4x \: + 3x \: = 180}}$

$\tt{\purple{12x \: = 180}}$

$\tt{\purple{x \: = \frac{\cancel{180} \: \red{15}} {\cancel{12} \: \red{1}} }}$

$\tt{\purple{x = 15}}$

$\therefore \tt{\blue{the \: angles \: are \: 45, \: 60 ,\: and \: 75}}$