It is 8 hours so you would do 22+42 and get 64. You would then divide 64 by 8 and get 8 degrees per hour.
4.3 x 10 to the power of 2
This question is asking "Where does cosine equal
?"
Based on our unit circle values and the domain of the cos^{-1} function, we see that at 30 degrees, or
, cosine is equal to
.
First put these in order from least to greatest.
1,2,2,4,8,9,9 is the correct order
Range is when we subtract the greatest value of our data set from the smallest so in our case it would be 9-1 which leaves us with our answer that 8 is your range.
The angle adjacent to angle 6 is the one we need to find first. To do this, add the measures of the intercepted arcs and divide by 2. 60 + 50 = 110, and half of that is 55. That means that both adjacent angles to the angle 6 are 55 (vertical angles are congruent). The measure of all the angles added together is 360 and angle 6 is vertical to the other "sideways" angle, so they are congruent as well. 360 - 55 - 55 = 250. Split that up between angle 6 and its vertical angle to get that each of those measure 125. Angle 6 measures 125, choice b from above.
