Hannah's school hosted a book donation. there are 150150 students at her school, and they donated a total of bb books! hannah donated 33 times as many as the average number of books each student donated. how many books did hannah donate? write your answer as an expression.

books.

Step-by-step explanation:  

We have been given that Hannah's school hosted a book donation.

Total number of students = 150.

Total number of books donated by all students = b.

Since we know that average is calculated by dividing the sum of the values in the set by their number.

Since we are told that Hannah donated 3 times as many as the average number of books each student donated.  So books donated by Hannah will be:

Upon simplifying we will get,

Therefore, Hannah donated books.

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).