Work out the top subtraction first:
3/9 - 8/12
= 1/3 - 2/3
= 1/3
and the bottom part:-
3/8 * 2 = 6/8 = 3/4
so now we divide -1/3 by 3/4
= -1/3 * 4/3 = -4/9
Correct answer is: distance from D to AB is 6cm
Solution:-
Let us assume E is the altitude drawn from D to AB.
Given that m∠ACB=120° and ABC is isosceles which means
m∠ABC=m∠BAC = 
And AC= BC
Let AC=BC=x
Then from ΔACD , cos(∠ACD) = 
Since DCB is a straight line m∠ACD+m∠ACB =180
m∠ACD = 180-m∠ACB = 60
Hence 

Now let us consider ΔBDE, sin(∠DBE) = 

Answer:
4
Step-by-step explanation:
Answer:
B. 
Step-by-step explanation:
We have,
The first term of the series,
.
The common difference is given by,
i.e.
.
Since, the given series is an infinite series, then,
Sum of an infinite series = 
i.e. Sum the series = 
i.e. Sum the series = 
i.e. Sum the series = 
i.e. Sum the series = 
i.e. Sum the series = 
Thus, the sum of the series is
.