An athlete runs 8 miles in 50 minutes on a treadmill. at this rate, how long will it take the athlete to run 9 miles? *

It will take the athlete 56.25 minutes to run for 9 miles

If an athlete runs 8 miles for a specified period of time of 50 minutes.

Then, in a single mile journey, the athlete ran for a period of time:

= (1 mile × 50 minutes)/ 8 miles

= 6.25 minutes

Now, in 9 miles, the athlete will run for :

= 6.25 × 9 minutes

= 56.25 minutes

Learn more about time conversion here:

link

50 minutes = 50/60 hours = 0.8333333333 hours

8 miles / 0.8333333333 hours = 9.60 miles per hour

9 miles / 9.60 miles per hour =

0.9375 hours = 56.25 minutes

Step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).