Answer:
4 radians
Step-by-step explanation:
Arc Length (Radians) = rθ
Given Arc Length XY = 40cm and radius, r = 10cm,
we will substitute these 2 values into the formula to find θ.
(10)θ = 40
θ = 40 / 10
= 4 radians
Answer:
144 meals for customers and 12 meals for employees.
Step-by-step explanation:
156/24=6.5
6 x 24 =144
156-144=12
It adds up to be simple numbers, if it didn't it would make sense. For example, she wouldn't serve 6 and a <u>half</u> people. She would serve either 6 people or 7 people. She wouldn't serve 11.3973043 meals. She would serve either 11 meals or 12 meals.
Answer:
Let's suppose that each person works at an hourly rate R.
Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:
4*R*(15*8 hours) = 1 task.
Whit this we can find the value of R.
R = 1 task/(4*15*8 h) = (1/480) task/hour.
a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:
5*( (1/480) task/hour)*(D*6 hours) = 1 task.
We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:
D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16
D = 16
Then the 5 workers working 6 hours per day, need 16 days to complete the job.
b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.
The slope is -1/4 and the y intercept it -6
Answer:
slope = - 
Step-by-step explanation:
note that BC is perpendicular to AB, hence the slope of BC is the negative reciprocal of the slope of AB
= - 
= -
