Use the cosine formula
Cos(angle) = adjacent/ hypotenuse
cos(30) = x/8
Cos(30) can be written as sqrt(3)/2
Now you have :
sqrt(3)/2 = x/8
Multiply both sides by 8:
X = sqrt(3)/2 x 8
Simplify:
X = 4sqrt(3)
The solution of are 1 + 2i and 1 – 2i
Solution:
Given, equation is
We have to find the roots of the given quadratic equation
Now, let us use the quadratic formula
--- (1)
Let us determine the nature of roots:
Here in a = 1 ; b = -2 ; c = 5
Since , the roots obtained will be complex conjugates.
Now plug in values in eqn 1, we get,
On solving we get,
we know that square root of -1 is "i" which is a complex number
Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i
Answer:
81 million
Step-by-step explanation:
In one year there is 365 days, if you divide 365/4.5 the answer is 81.1. And every 4.5 days add 1 million people, then you multiply
81.1*1 000 000 = 81 100 000
approaching to the nearest million, 81 million of babies are added each year.
