In order to find the value for 'a', we can use the law of cosine, which is given by

From the given triangle, we have

On substituting these values in the above mentioned formula, we get

Thus, the length of a is 19.45
Second option is correct.
B. 4.
You can get this by setting them equal to each other and getting all of the x terms to one side. Then get the number values to the other and divide the coefficient away.
Answer: Orange = 5 rupee
Apple = 6 rupees
Step-by-step explanation:
Let the cost of an orange be x
Let the cost of an apple be y
We can form an equation from the question given which will be:
5x + 3y = 43 ......... i
2x + 4y = 34 ......... ii
Multiply equation i by 2
Multiply equation ii by 5
10x + 6y = 86 ........ iii
10x + 20y = 170 ..... iv
Subtract iii from iv
14y = 84
y = 84/14
y = 6
An apple cost 6 rupees
Since from equation ii
2x + 4y = 34
2x + 4(6) = 34
2x + 24 = 34
2x = 34 - 24
2x = 10
x = 10/2
x = 5
An orange cost 5 rupee