We have:

Then we use trigonometric identities to change the negative sign of the trigonometric functions, so:

We clear f(x):

we simply what we can:

Thus, the correct answer is;
Hey there!
The answer is no because whenever you add or subtract fractions, you find the common denominator(the bottom of the fraction)
Corret way:
The common denominator is 15 (5*3)
Multiply numerator(top) and the denominator by 3
4/5*3*3= 12/15
Multiply numerator and the denominator by 5
1/3*5/5= 5/15
So the equation is now
12/15+5/15= 17/15 or 1 2/15
Hope this helps! :)
Answer:
h = 84
Step-by-step explanation:
3 = 87 - h
h + 3 = 87 (Add h to both sides)
h = 84 (Subtract 3 from both sides)
Answer:
Step-by-step explanation:
That means that the given expressions are equal.
100 - 2.5x = 100 + 2.5(5 - x)
100 - 2.5x = 100 + 12.5 - 2.5x
There is no solution to this.
Answer:
0.3 or 30%
Step-by-step explanation:
Since no innocent student will ever be caught, the probability that a student sends an email and/or text message during a lecture AND gets caught is given by the product of the probability of a student sending a message (60%) by the probability of the professor catching them (50%) :

The probability is 0.3 or 30%.