The cost of meal = 
The tip to the waiter =
%
Discount =
%
Cost = 
Cost = 
Cost = $
0
Answer:
b = 4
Step-by-step explanation:
5-1=5b-4b
4=b
Answer:
D.
inches.
Step-by-step explanation:
We have been given that the circle with center O has a minor arc BSA with a length of
inches. The central angle is 40°.
To find the circumference of circle we will use formula:
, where
= measure of 360 degrees in radians and
= circumference of circle.
Let us convert measure of central angle into radians.
Upon substituting our given value in the formula we will get,

Cross multiplying we will get,

Hence, the radius of our circle is 27/4 inches.
Since the circumference of circle is
. Upon substituting
we will get,

Therefore, circumference of our given circle will be
inches and option D is the correct choice.
a. The first part asks for how many ways they can be seated together in a row. Therefore we want the permutations of the set of 6 people, or 6 factorial,
6! = 6
5
= 30
4
= 360
2 = 720 possible ways to order 6 people in a row
b. There are two cases to consider here. If the doctor were to sit in the left - most seat, or the right - most seat. In either case there would be 5 people remaining, and hence 5! possible ways to arrange themselves.
5! = 5
4
= 20
3
= 120
1 = 120 possible ways to arrange themselves if the doctor were to sit in either the left - most or right - most seat.
In either case there are 120 ways, so 120 + 120 = Total of 240 arrangements among the 6 people if the doctor sits in the aisle seat ( leftmost or rightmost seat )
c. With each husband on the left, there are 3 people left, all women, that we have to consider here.
3! = 3
2 6 ways to arrange 3 couples in a row, the husband always to the left
Answer:
18 sides.
Step-by-step explanation:
The interior and exterior angles sum to 180 so:
I + E = 180
also I - E = 140 (given)
So, adding to eliminate E:
2I = 320
I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.
Since the sum of all exterior angles in a polygon = 360 degrees
- the number of sides = 360 / 20 = 18.