Hi there!
To solve, we must use the following trig identity:
sin(u - v) = sin(u)cos(v) - sin(v)cos(u)
We can rewrite the left hand side of the equation as:

Split the fraction:

First fraction reduces to 1:

Simpify each with common arguments:

Hey there!
To solve this problem, you first would need to solve for how much of the cake is left after Jasmine, her friend, and Jasmine's brother got their slices. Then, you would need to split the remaining amount in half to get the answer of what each parent ate. We would need to make all of the denominators the same, so let's make all of the fractions out of 12, a common denominator of 3 and 4.



It can then be concluded that each parent ate

of the cake, since there was

remaining.
You can check this answer by adding up all of the parts we used in this problem:

Hope this helped you out! :-)
Answer:
D
Step-by-step explanation:
First we need to figure out how many people are going on the field trip
if each class has 27 people going and there are 6 classes, 6*27=162
162 ppl are going. If 3 buses can hold 48 ppl then 3*48=144
3 buses are not enough, if we were to bring in one more bus 4*48=192
there would be enough place for everyone
h(x) = -4
Step-by-step explanation:
Simple. Plugging this into the equation will give us:
h(x) = -14 -(-40)/4 = -14+10
h(x)= -4
Answer:
The exact height of the actual building is 822.5 feet.