The first diagram below shows a circle with a radius of 1 (unit circle). The circle is drawn on a Cartesian graph with (0,0) as the center of the circle.
From the second diagram, we can determine the value of sin(Θ) = y
and cos(Θ) = x
We can further deduce that
tan(Θ) =
sec(Θ) =
=
cosec(Θ) =
=
cot(Θ) =
=
Answer:
x ≈ 61.8
Step-by-step explanation:
Using the sine ratio in the right triangle
sin15° = 
= 
( multiply both sides by x )
x × sin15° = 16 ( divide both sides by sin15° )
x = 
≈ 61.8 ( to the nearest tenth )
The difference between the smoker and the non-smoker is $151
1000 x $7.85 = $785
1000 x $9.36 = $936
= $151
The answer to this question is x=54
2x+2=3x-52
2x=3x-54
-x=-54
x=54
I hope this helps!!!!!
The key is to find the first term a(1) and the difference d.
in an arithmetic sequence, the nth term is the first term +(n-1)d
the firs three terms: a(1), a(1)+d, a(1)+2d
the next three terms: a(1)+3d, a(1)+4d, a(1)+5d,
a(1) + a(1)+d +a(1)+2d=108
a(1)+3d + a(1)+4d + a(1)+5d=183
subtract the first equation from the second equation: 9d=75, d=75/9=25/3
Plug d=25/3 in the first equation to find a(1): a(1)=83/3
the 11th term is: a(1)+(25/3)(11-1)=83/3 +250/3=111
Please double check my calculation. <span />
