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>
The waitress earns $425 weekly.
Work:
Use proportions.
x 4
------- = ------
4,200 100
4,200 x 4 = 16800
100 multiply x = 100x
16800 divided by 100 = 168
Commission = $168
Base salary = $257
$168 + $257 = $425
Answer:
20
Step-by-step explanation: -13 to 7 think about that. We have to add 13 to make it 0. Then we add 7. So 13 plus 7 is 20. Enjoy :)
569/x=100/18
multiply both sides of the equation
569=5.55556
now we divide
569/5.55556
102.42=x
18% of 569=102.42
We know that
volume of a sphere=(4/3)*pi*r³------> volume of a tennis ball
for r=2.5/2-----> 1.25 in
volume of a sphere=(4/3)*pi*1.25³------> 8.18 in³
volume of 3 tennis ball=3*8.18-----> 24.54 in³
volume of a cylinder=pi*r²*h
r=1.25 in
h=2.5*3-----> 7.5 in
volume of a cylinder=pi*1.25²*7.5-----> 36.82 in³
<span>the volume of the space NOT occupied by the tennis balls=36.82-24.54
</span><span>the volume of the space NOT occupied by the tennis balls=12.28 in</span>³
the answer is
12.3 in³
