Abicyclist started riding at 8: 00 a. m. the diagram below shows the distance the bicyclist had traveled at different times. what was the bicyclist's average rate of speed in miles per hour? 8: 00 a. m. --> 3.5 > 8: 14 a. m. > 8.5 > 8: 48 a. m. the average rate of speed is miles per hour.

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savageluzti avatar

savageluzti

12/14/2017

Mathematics

High School

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A bicyclist started riding at 8:00 A.M. The diagram below shows the distance the bicyclist had traveled at different times. What was the bicyclist's average rate of speed in miles per hour?

8:00 A.M. <--- 4.5 ---> 8:18 A.M. < 7.5 > 8:48 A.M.

The average rate of speed is ___ miles per hour.

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eliho

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Average rate of speed is equal to total distance divided by the total time. the total distance is equal to 4.5+7.5, or 12 miles. The total time from 8:00 to 8:48 is 48/60 of one hour. 12*60/48=15 miles per hour

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Answer : The bicyclist's average rate of speed in miles per hour is 15 mile/hr.

Step-by-step explanation:

Average rate if speed : It is defined as the ratio total distance to total time.

Formula used :

As per question,

Total distance traveled by bicyclist = 4.5 mile + 7.5 mile = 12 mile

Total time taken by bicyclist = (8:48 A.M - 8:00 A.M) = 48 min = 0.8 hr

conversion used : ( 1 hour = 60 minute)

Now put all the given values in the above formula, we get the bicyclist's average rate of speed in miles per hour.

Therefore, the bicyclist's average rate of speed in miles per hour is 15 mile/hr.

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.