when tessa and fatima run a 100 metre race,tessa wins by 10m.then they repeat the race,this time with tessa starting 11m behind the starting line.if both girls run at the same speed as efore,what would be the expected result?
tessa loses by 1m
Yani wants to make a scale diagram of the floor plan of his school. He wants his diagram to fit on an 8.5in. by 11in. sheet of paper. The school is 650ft long and 300 ft wide at its widest point.
a) what would be a reasonable scale for Yani to use so that his diagram will fit on the sheet of paper.
b) Assume that the school's floors plan is a rectangle.Draw a scale diagram using the scale you determined in park a)
To find the expected result of the race when Tessa starts 11 meters behind the starting line, we need to analyze the relative positions of Tessa and Fatima during the race and compare their speeds.
In the first race, Tessa wins by 10 meters, which means she finishes 10 meters ahead of Fatima. This indicates that Tessa is faster than Fatima since they both run at the same speed.
Now, in the second race, Tessa starts 11 meters behind the starting line while Fatima starts at the starting line. Since Tessa is faster, it will take her some time to catch up to Fatima, given the head start.
Let's break down the relative positions:
- At the starting line, Fatima is at position 0, and Tessa is at position -11 meters.
- As they both run at the same speed, Tessa covers 10 meters for every 100 meters they run.
To determine when Tessa will catch up to Fatima, we need to find the distance they both cover during the time it takes Tessa to close the gap.
Tessa needs to cover the 11-meter head start that Fatima has, plus the 10-meter lead she usually has at the finish line, for a total of 21 meters. Since Tessa covers 10 meters for every 100 meters, she will close the gap in 21 / 10 = 2.1 times the distance of the race.
Therefore, in the second race, Tessa is expected to catch up to Fatima and win the race by approximately 10 meters.