sin(x+y)=sin(x)cos(y)-cos(x)sin(y)
also, remember pythagorean rule, 
given that sin(Θ)=4/5 and cos(x)=-5/13
find sin(x) and cos(Θ)
sin(x)
cos(x)=-5/13
using pythagorean identity
(sin(x))^2+(-5/13)^2=1
sin(x)=+/- 12/13
in the 2nd quadrant, sin is positve so sin(x)=12/13
cos(Θ)
sin(Θ)=4/5
using pythagrean identity
(4/5)^2+(cos(Θ))^2=1
cos(Θ)=+/-3/5
in 1st quadrant, cos is positive
cos(Θ)=3/5
so sin(Θ+x)=sin(Θ)cos(x)+cos(Θ)sin(x)
sin(Θ+x)=(4/5)(-5/13)+(3/5)(12/13)
sin(Θ+x)=16/65
answer is 1st option
Answer:
Step-by-step explanation:
f(x) = x is an odd function; the power of x is x^1.
f(x) = -x is also an odd function.
Answer: The answer is F.
Step-by-step explanation: It’s F because the number would be multiplied equally because all of the number are multiplied by 2. The rest of them either have variables or variables with numbers in them, which looks kind of funky, so F is the answer. I hope you get it right :). Sorry, if I was late for the reply and if you already figured it out… :(.
To answer this question you will find out the total number of cupcakes donated and then calculate the amount of each flavor based on the percentage that is stated.
Here are the steps:
1. 12 x 10 x 12 (12 classes each donating 10 dozen) = 1440
2. 0.55 x 1440 (55% are chocolate) = 792 chocolate
3. 1440 - 792 (the remaining number of cupcakes)=648
4. 1/3(33 1/3%) x 648 = 216 red velvet
5. 1440 - 792 (chocolate) - 216 (red velvet) = 432 vanilla cupcakes
Chocolate-792
Red velvet - 216
Vanilla - 432
You add all of them together then u find answer then you round the nearest tenth
