So lets get to the problem
<span>165°= 135° +30° </span>
<span>To make it easier I'm going to write the same thing like this </span>
<span>165°= 90° + 45°+30° </span>
<span>Sin165° </span>
<span>= Sin ( 90° + 45°+30° ) </span>
<span>= Cos( 45°+30° )..... (∵ Sin(90 + θ)=cosθ </span>
<span>= Cos45°Cos30° - Sin45°Sin30° </span>
<span>Cos165° </span>
<span>= Cos ( 90° + 45°+30° ) </span>
<span>= -Sin( 45°+30° )..... (∵Cos(90 + θ)=-Sinθ </span>
<span>= Sin45°Cos30° + Cos45°Sin30° </span>
<span>Tan165° </span>
<span>= Tan ( 90° + 45°+30° ) </span>
<span>= -Cot( 45°+30° )..... (∵Cot(90 + θ)=-Tanθ </span>
<span>= -1/tan(45°+30°) </span>
<span>= -[1-tan45°.Tan30°]/[tan45°+Tan30°] </span>
<span>Substitute the above values with the following... These should be memorized </span>
<span>Sin 30° = 1/2 </span>
<span>Cos 30° =[Sqrt(3)]/2 </span>
<span>Tan 30° = 1/[Sqrt(3)] </span>
<span>Sin45°=Cos45°=1/[Sqrt(2)] </span>
<span>Tan 45° = 1</span>
Answer:
Step-by-step explanation:
Complete question
Required
Solve for x
We have:
Collect like terms
Multiply through by 
Make x the subject
If you take the original amount 45 and subtract the admission fee 17 you get what is left over which would be 28 dollars. Good Luck and I hope that this helps!!
Hey there! :D
3,942,588
The thousandths is where the 2 is.
If the number behind the 2 is 5 or greater, we round up to 3.
It is, so round up:
3,943,000 <== rounded number
I hope this helps!
~kaikers
Answer:
d) 87
Step-by-step explanation:
to solve this lets set up the equation
then we multiply 4 on both sides
253+x=340
and subtract 253 on both sides
x=87
to double check take the averages
(87+85+70+98)/4=85
