This venn diagram shows the pizza topping preferences for 9 students let event a = the student likes pepperoni let event b = the student likes olives what is p( a or b)?

Step-by-step explanation:

Given: Total number of the students are nine. Since there are 6 in total students who likes pepperoni and olives. Therefore,

P(A or B)=

=

=

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).