Mrs. Aiello and Mr. O'Toole can write a lesson together in 2 hours. When working alone. Mr. O'Toole needs 4 hours to complete the lesson. Which teacher can write the lesson in less time? Provide mathematical evidence to support your answer.

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).

2, 2, 2 or -4, 20, 29

step-by-step explanation:

there is two ways you can do it.

your answer is  

a.

5

step-by-step explanation: