First we are going to find the common denominator of both fractions. To do that, we are going to multiply their denominators:

Now we can rewrite our expression using the common denominator:

Finally, we can use the trig identities:

and

to simplify our trig expression:
We can conclude that the correct answer is the fourth one.
Answer:
B
Step-by-step explanation:
Think of it like a quarter you got a half and half shot if getting heads or tails. meaning a 50/50 chance.
The mean is 10,724.28.
Explanation:
The mean is all of the values divided by the number of values there are.
So what you have to do is add all of the numbers and divide it by the amount of numbers there are.
10,150+10,211+10,424+10,769+10,884+11,155+11,477= 75,070.
Since there are 7 numbers, divide 75,070/7 and you get your mean, which is 10,724.28 rounded.
Answer:
y = 2x - 3
Step-by-step explanation:
Parallel lines have the same slope
only the constant changes
y = 2x + b
To find "b"
Plug in point (3, 3)
3 = 2(3) + b
3 = 6 + b
Subtract 6 from both sides
-3 = b
The equation for the parallel line is
y = 2x - 3
Answer:
140 students are in the school
Step-by-step explanation:
According to the Pie Chart, 70 students are 50%. So then, you multiply 50% of the survey to get 100% (the entirety surveyed). So 70 x 2 = 140
So there were 140 students in the school.