Answer:
5
Step-by-step explanation:
Answer 1:
It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.
So the two digit number x is expressed as,


The two digit number 'y' is obtained by reversing the digits of x.
So, 

Now, the value of x-y is expressed as:




So,
is equivalent to (x-y).
Answer 2:
It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = 
Since, the sum of the given infinite geometric series = 200
Therefore,
Since, r=0.15 (given)



a=170
The nth term of geometric series is given by
.
So, second term of the series =
= ar
Second term = 
= 25.5
So, the second term of the geometric series is 25.5
Step-by-step explanation:
(6x + 30)+(2x+6)= 180
8x +36= 180
8x= 144
X= 18
So 2x+6 = 42
And 6x+30 = 138
Answer:
Step-by-step explanation:
we can say the angle is also +45° going in the clock wise direction. so take Tan(45)= 1
Cot(45) = 1
b/c Tan(45) = Sin(45) /Cos(45) = (
/2) / (
/2) ofc that's just 1
b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1