Find the change
the change is 63-21=42
42 degrees in 12 hours
we want to find xdegrees/1hour
42/12=3.5 degrees per hour
Using the formula for the area of a triangle we can solve for the base.
The formula for area of a triangle is : Area = 1/2 x base x height
We are given the area and the height:
33.6 = 1/2 x 4 x base
Multiply both sides by 2 to remove the 1/2:
67.2 = 4 x base
Divide both sides by 4 to solve for the base:
67.2 /4 = 16.8
Check: Area = 1/2 x 4 x 16.8 = 33.6
The base is 16.8 inches.
Jacinda: d = 10 * t ( a rate: 10 miles per hour )
Raj : d = 1.5 + 4.5 * t
Jacinda will catch up with Raj when:
10 t = 1.5 + 4.5 t
10 t - 4.5 t = 1.5
5.5 t = 1.5
t = 1.5 : 5.5 = 0.27 hours = 16.2 min = 16 min 12 seconds
Answer:
A. 
Step-by-step explanation:
![\dfrac{\sqrt[3]{6}}{\sqrt[4]{6}} = 6^{\frac{1}{3} - \frac{1}{4}} = 6^{\frac{4}{12} - \frac{3}{12}} = 6^{\frac{1}{12}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B3%5D%7B6%7D%7D%7B%5Csqrt%5B4%5D%7B6%7D%7D%20%3D%206%5E%7B%5Cfrac%7B1%7D%7B3%7D%20-%20%5Cfrac%7B1%7D%7B4%7D%7D%20%3D%206%5E%7B%5Cfrac%7B4%7D%7B12%7D%20-%20%5Cfrac%7B3%7D%7B12%7D%7D%20%3D%206%5E%7B%5Cfrac%7B1%7D%7B12%7D%7D)
Answer: A. 