Recall the double/half angle formulas:
We're given 
, and since 
is between π/2 and π, we expect 
to be negative. So from the Pythagorean identity, we find
Also, we know 
will fall between π/4 and π/2, so both 
and 
will be positive. Then we find
and it follows that
Answer:
D. 23/27
Step-by-step explanation:
The good news is, they wrote out all the possible options for you.
There are 27 possibilities in all, so that's our denominator.
They want to know which possibilities have a W in there OR an R comes first. So we'll count up the possibilities that start with R. There are 9.
Then, of the remaining 18, 14 include a W somewhere in there.
9 + 14 = 23 out of 27.
We are not counting the Ws in the possibilities that start with R, because of the OR in the sentence.
Please let me know if you have questions about this.
Answer: 51,918.
Step-by-step explanation: 200000-148082=51918.
You are right. Transitivity means, that:
if a = b and b = c, then a = c
(here a = x, b=5 and c = y).
Answer:
(X + 9)(x -9)
Step-by-step explanation:
Subtraction of perfect squares:
The factors of a subtraction of perfect squares is given by:
What are the factors of x² - 81?
This can be written as:
So
