Answer:

Step-by-step explanation:
We have to simplify the trigonometric expression 
Let us multiply the numerator and denominator by 

In the denominator apply the formula for difference of squares

Thus, the denominator will become

Thus, the expression is

Using the relation 

We can rewrite this expression as

Finally, the simplified expression is

Answer:
Step-by-step explanation:
hello : here is an solution
Answer: The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Step-by-step explanation:
X/3 -2 = 5x-2 (multiply by 3)
x-6=15x-6
x=15x
14x=0
x=0
Answer:
Option C. 1,024 bacteria
Step-by-step explanation:
We are given that a bacteria culture begins with 4 bacteria which double in size every hour. And we have to find that how many bacteria exist in the culture after 8 hours;
So, Number of bacteria after one hour = 4 * 2 = 8
Number of bacteria after two hours = 8 * 2 = 16
Number of bacteria after three hours = 16 * 2 = 32
Number of bacteria after four hours = 32 * 2 = 64
Number of bacteria after five hours = 64 * 2 = 128
Number of bacteria after six hours = 128 * 2 = 256
Number of bacteria after seven hours = 256 * 2 = 512
Number of bacteria after eight hours = 512 * 2 = 1,024
Therefore, 1,024 bacteria exist in the culture after 8 hours .