please solve this Very urgent The question is in the picture
Answers
Answer:
32. 1 + 3 + 5 + .....x
a = 1 : d= 2
Sn = n/2 ( 2a + ( n-1)d )
n/2 ( 2 + (n-1 )2 )
n/2 ( 2 + 2n - 2 )
n/2 ( 2n ) ( 2 gets cancelled
= n * n = n²
33. A pythagorean triplet consists of three positive integers where
A² + B² = C²
In this question option a ( 8, 15 , 17)
8² + 15² = 17² = 64 + 225 = 289
34 . Compound interest
- Amount = P * ( 1 + R/100) ^t
- P = 5000. R = 5% T = 2 yrs
- 5000 * ( 1 + 8/100)^2
- = 5000 * 1.08² = 5832
- CI = Amount - Principle = 5832-5000=832
35.Sum of exterior angle of any polygon is 360degree
As each exterior angle is 45 degree
no of sides = 360/ 45 = 8 sides
36).Given each angle of polygon is 108
So each exterior angle of polygon = 180-108= 72 degrees
Number of sides = 360/72 = 5 sides
37) y +6 + y -3 = 5y - 4
4. 5. 8
first take LHS left hand side and solve
Lcm of 4,5 = 20
= 20 ( y +6 )/ 4 + 20( y-3)*5
20
= 5y + 30 + 4y - 12
20
9y + 18 = ( 5y - 4)
20. 8
Note - (Cross multiply , you will get y = 8 )
38) Let the numbers be 5x , 8x
- Given sum of two numbers = 182
- 5x + 8x = 182
- 13x = 182
- x = 182/13 = 14
- 5x = 5* 14 = 70
- 8x = 8* 14 = 112