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nana54muller
13.11.2020 •
Mathematics
7. A triangle and a rectangle have the same perimeter. The sides of the
triangle are x, x+1, and x + 2. The sides of the rectangle are x – 3 and x + 1.
Find the dimensions of each figure and then find the perimeter of each.
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Ответ:
5 miles per hour and 15 miles per hour.
Step-by-step explanation:
Given:
Isabella and Tanner are running in a 100-mile relay race.
First, Isabella runs for 2 hours and hands off to Tanner, who bicycles for 6 hours to the finish line.
Tanner's average cycling speed is 5 miles an hour less than 4 times Isabella's average running speed.
Question asked:
what are their speed ?
Solution:
Let average running speed of Isabella =![x](/tpl/images/0546/8136/a0e3f.png)
Tanner's average cycling speed is 5 miles an hour less than 4 times Isabella's average running speed means,
Tanner's average cycling speed =![4x-5](/tpl/images/0546/8136/18661.png)
Now,![Distance = speed\times time](/tpl/images/0546/8136/de8ec.png)
As we know that the total distance is 100 mile which is covered by both together,
Distance traveled by Isabella + Distance traveled by Tanner = 100
Adding both sides by 30
Dividing both sides by 26
Isabella's average running speed![x=5 \ miles \ per \ hour](/tpl/images/0546/8136/e1870.png)
Tanner's average cycling speed =
=![4\times5-5 =20 -5 = 15 \ miles\ per \ hour](/tpl/images/0546/8136/4a3ea.png)
Therefore, Isabella's average running speed is 5 miles/hour and Tanner's average cycling speed is 15 miles/hour.