Given:
cos 120°
To find:
The exact value of cos 120° in simplest form with a rational denominator.
Solution:
We have,

It can be written as

![[\because \cos (90^\circ-\theta)=-\sin \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ccos%20%2890%5E%5Ccirc-%5Ctheta%29%3D-%5Csin%20%5Ctheta%5D)
![[\because \sin 30^\circ=\dfrac{1}{2}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%2030%5E%5Ccirc%3D%5Cdfrac%7B1%7D%7B2%7D%5D)

Therefore, the exact value of cos 120° is
.
Answer:
4 miles
Step-by-step explanation:
In order to find how many miles the car will travel in 0.5 hours, we can set up a proportion.

We can now cross multiply to find the value of x.

So the car can travel 4 miles in 0.5 hours.
Hope this helped!
Answer:
I think is B
Step-by-step explanation:
I dont know I thont know
Answer:
g 78 degress
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
A: radius of 12 ft
Changing to meter
12 ft * .305 m/ ft =3.66 meter
The radius is 3.66 meters
The diameter is twice the radius = 2*3.66 =7.32 meters
The circumference is
C = pi*d = 3.14 * 7.32 =22.9848 = 22.98 meters
B diameter is 7.5 meters
Pool B has a bigger diameter
C = pi * d = 3.14 * 7.5m = 23.55 meters
The difference is .57 meters