Answer:
. . . . . . . . . . . . .Loading answer. . . . . . . . .
Step-by-step explanation:
We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
Let
A------> Lincoln, NE
B------> Boulder, CO
C------> third city
we know that
in the triangle ABC
AB=500 miles
BC=200 miles
AC=x
Applying the Triangle Inequality Theorem
1) 500+200 > x------> 700 > x------> x < 700 miles
2) 200+x > 500----> x > 500-200------> x > 300 miles
the solution for x is
300 < x < 700
the interval is------> (300,700)
the possible distances, d, in miles, between Lincoln, NE, and the third city, are in the range between 300 and 700 miles
S = Speed
D = Distance
T = Time
S = D/T
S = 50m/1/2
50 divided by 1/2 = 25
25 = 50/1/2
S = 25 m/min.
