Robert and elaine ran around the high school track during gym class. robert ran 1/2 of the way around the track in 5/6 minute. later in the day, elaina ran 3/4 of the way around the track in 9/10 minute. when they meet after school, robert claims that he can run father in a minute than elaina. is he correct or incorrect? explain your reasoning. unpack the problem: make a plan: solution: look back and explain:

Answer

Incorrect

Explanation

Unpack the problem:

Let the distance round the track to be X.

Speed is the ratio of distance to time.

Robert run a distance of (1/2)x

Elaine run a distance of (3/4)x

Make a plan:

Finding the speed of each.

Compare their speeds to determine who ran faster than who.

Solution:

Robert's speed =(1/2)x/(5/6)

=1/2×6/5x

= (3/5)x

= 0.6x

Elaine's speed = (3/4)x/(9/10)

= (3/4)×(10/9)x

= (5/6)x

= 0.83333x

Elaine ran faster than Robert.

Look back and explain:

0.83333x > 0.6x

Elaine's speed is higher than Robert's speed.

This shows that Elaine ran faster than Robert.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.