Question

please answer step by step please these are the last of the questions left​

Answer 1

6.The Pythagorean triplets are of the form 2m , m²+1,m²-1 . 2m is smallest when m > 2. Here , 2m = 12.

=> m = 6. Other Pythagorean triplets are :-

m²+1 = 36+1 = 37.

m²+1 = 36+1 = 37m²-1 = 36-1 = 35.

Therefore 12, 35 and 37 is the answer.

7. Since 2 and 5 are not in pairs multiply by 2 and 5 to make it a perfect square.

The required number=360*2*5=3600

The smallest square number divisible by 8,9,10=3600

8. Let the number of students in the class be x

Therefore, contribution by each student is Rsx

According to question, x×x=1156  

=1156

⇒x=  1156

​⇒x=  34  

2⇒x=34

The strength of class is 34 students.

9.Cube root of=³√1.728

=³√1728/1000

=³√12³/10³

= 1.2

Hope this is helpful:)