Answer:
Rachelle can walk 3.75 miles in am hour.
To get the reference angle, convert the angle measurement to degrees first since it is in radians.
The conversion factor is pi = 180°
So,

Since 315° is located in quadrant IV, to get the reference angle, subtract 315° from 360°. Hence, the reference angle is 45°.
Based on the basics of trigonometric functions, Tan (45) = 1.
Answer:

Step-by-step explanation:
![\text{Use}\\\\(a^n)^m=a^{nm}\\\\a^\frac{1}{n}=\sqrt[n]{a}\\---------------\\\\\left(8^\frac{2}{3}\right)^4=\left(8^{\frac{1}{3}\cdot2}\right)^4=\left[\left(8^\frac{1}{3}\right)^2\right]^4=\left(\sqrt[3]8\right)^{2\cdot4}=2^8=256](https://tex.z-dn.net/?f=%5Ctext%7BUse%7D%5C%5C%5C%5C%28a%5En%29%5Em%3Da%5E%7Bnm%7D%5C%5C%5C%5Ca%5E%5Cfrac%7B1%7D%7Bn%7D%3D%5Csqrt%5Bn%5D%7Ba%7D%5C%5C---------------%5C%5C%5C%5C%5Cleft%288%5E%5Cfrac%7B2%7D%7B3%7D%5Cright%29%5E4%3D%5Cleft%288%5E%7B%5Cfrac%7B1%7D%7B3%7D%5Ccdot2%7D%5Cright%29%5E4%3D%5Cleft%5B%5Cleft%288%5E%5Cfrac%7B1%7D%7B3%7D%5Cright%29%5E2%5Cright%5D%5E4%3D%5Cleft%28%5Csqrt%5B3%5D8%5Cright%29%5E%7B2%5Ccdot4%7D%3D2%5E8%3D256)
The expression that best estimates 6 3/4 divided by 1 2/3 is 7/2. 6 3/4 (or 6.75) divided by 1 2/3 (or 1.66...) comes out to 4 1/20 (or 4.05). The closest value to this in the options available is 7/2 (or 3.5). This answer is only .55 away from the correct value, while the rest of the options are far less close.