Last friday tony worked 7 1/2 hours. express this time as a fraction of the day.

There are 60 minutes in one hour.  If I told you that Tony took 1/2 hour to finish his exercise, you'd know that 1/2 hour is 30 minutes.  You get that by multiplying 60 minutes by 1/2: (1/2)*(60 minutes) = 60/2 = 30 minutes.  

So if Tony took 7/10 of an hour to finish his exercise, that's 7/10 of 60 minutes:

(7/10)*(60 minutes) = 420/10 = 42 minutes

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).