Adam left the hospital and drove toward his cabin on the lake. Maria left one hour later driving 11 km/h faster in an effort to catch up to him. After four hours Maria finally caught up. Find Adam's average speed.

Adam's average speed is 33 mph.

Step-by-step explanation:

Let x represent Adam's average speed.

By the time Maria catches up with Adam, they would have covered the same distance.

Distance = speed × time

Distance travelled by Adam after 4 hours is

4 × x = 4x

Maria left one hour later driving 11 km/h faster in an effort to catch up to him. This means that Maria's speed is (11 + x) mph and the time she spent travelling is 4 - 1 = 3 hours. Distance covered by Maria is

3(11 + x)

Since they covered the same distance, it means that

4x = 3(11 + x)

4x = 33 + 3x

4x - 3x = 33

x = 33 mph

this is answer of 144 cubic meters

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).