A cheetah that is running 90 ft./s is 120 feet behind an antelope That is running 60 ft./s how long will it take the cheetah to catch up to the antelope

4 seconds.

Step-by-step explanation:

Let t be the time in seconds when the cheetah catches the antelope.

-Cheetah's speed is 90ft/s and the antelope's is 60ft/s with a 120ft distance between them.

#The expression of the distance of the two when they catch up is;

#Since the distance of the two will be equal at that point:

Hence, the Cheetah catches the antelope after 4 seconds.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.