Ahairstylist schedules 1/4 hour tot trim a customer's hair and 1/6 hour to style the customer's hair. the hairstylist plans to work 3 1/2 hours each day for 5 days each week. how many appointments can the hairstylist schedule each week if each customer must be trimmed and styled?

A hairstylist schedules 1/4 hour tot trim a customer's hair and 1/6 hour to style the customer's hair.

Hours scheduled for 1 customer = trim + style the customer hair

=  

So 1 customer can be  scheduled for 5/12 hours

The hairstylist plans to work hours each day

We find out how many customers can be scheduled per day

= 8.4

Its approximately 8 appointments per day

He works for 5 days in a week

So 5 * 8 appointments = 40 appointments

40 appointments can the hairstylist schedule each week if each customer must be trimmed and styled

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).