30. find the unit rate of 183 miles in 3 hours
IF you want me to show the unit rate in miles per hour here is the method to do that:
=> 183 miles / 3 hours = 61 miles per hour.
Thus the unit rate is 61 miles per hour or 61 miles /h
Now, if you want to see the unit rate in miles per minute then here is the method to do that:
=> 1 hour = 60 minutes
=> 3 hours = 180 minutes
=> 183 miles / 180 minutes = 1.02 miles per minute
Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that . We are given the lengths of all 3 sides in terms of , but we only need to set two of them equal to each other to solve for . Let's use and to solve for . We know that , , and . Therefore, we can write the following equation to solve for
(Substitute given values into equation)
Solving for , we get:
(Subtract from both sides of the equation to isolate constants)
(Simplify)
(Subtract from both sides of the equation to isolate )
(Simplify)
(Divide both sides of the equation by to get rid of 's coefficient)