Ahigh school play cost an up front $30,000 to produce, plus an additional cost as of $1000 for each perfromance. every sold out performance of the of thr play brings in $2500 of revenue to the school. how many sold out performance are needed so that the school breaks even op n the production of the play?

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).

if im not mistaking its

step-by-step explanation: