Answer:
Step-by-step explanation:
∩
is asking for the intersection of sets
and
, or simply, which numbers can be found in both sets.
The numbers shared between the two sets are
.
Next, we need to union this result with the set
, or simply, combine the numbers in both sets together.
This would result in 
Answer:
B. 31.62
Step-by-step explanation:
First, find the distance of the line using the distance formula,
. Plug the two points (-1,0) and (5,2) into the formula and solve. This gives you 6.32, then this is only one line of a pentagon, which has 5 sides, so you need to multiply. Since you are finding the perimeter, which is all of the sides added together, multiply the one side by 5. 6.32*5=31.62.
Answer:
56 ways
Step-by-step explanation:
Number of ways is given by n combination r (n!/(n - r)!r!)
n = total number of students = 8, r = the number of summer courses = 3
Number of ways = 8 combination 3 = 8!/(8-3)!3! = 8!/5!3! = 8×7×6×5!/5!×6 = 8×7 = 56 ways
Answer:
x = 74 degrees
Step-by-step explanation:
If we assume that this triangle is isosceles, then the sum of the two angles at the bottom is (180 - 32) degrees, or 148 degrees. The angle x is half that, i. e., x = 74 degrees
Answer:
I think 0.7
Step-by-step explanation: