The value is 22 because I took the test
Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915
Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412
</span>
/ 5.2915
</span>
<span><span><span>sin(B) = 0.6546571451
</span>
</span>
</span>
Angle B = 40.894 Degrees
sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees
angle C = 60 Degrees
Pythagoras theoram? use it here!
That is,
H² = 15² + 4²
H² = 225 + 16
H = √241
H = 15.5
You should opt for 15.5
P.S: Best of luck for your test! ;))
C=pid
Since d=9m and pi=3.142, C=3.142*9m=28.278
Rounded to 1 decimal point =28.3
By definition, the circumference is given by:
C = 2 * pi * R
Where,
R: Radio
Substituting values we have:
C = 2 * pi * (27/2)
C = 84.82300165 in
Round to the nearest whole number:
C = 85 in
Answer:
The circumference of the wheel is:
B. about 85 inches
