Answer:
x = 32 in
Step-by-step explanation:
8/34 = x/136
34x = 1088
x = 32 in
The number of possible seats is an illustration of permutation
There are 1728 possible sitting arrangements
<h3>How to determine the number of seats</h3>
From the question, we have the following highlights:
- Chris can only take 1 seat (i.e. the central seat)
- Jo can take 2 seats (i.e. the seats adjacent the central seat)
- Alex, Barb and Dave can take 3! number of seats
- Eddie, Fred, and Gareth can take 3! number of seats on the right of Chris.
- The remaining 4 adults do not have preference, then they can seat in 4! ways
So, the number of sitting arrangement is:

Evaluate the product

Hence, there are 1728 possible sitting arrangements
Read more about permutation at:
brainly.com/question/12468032
Answer:
30 houses
Step-by-step explanation:
Time from 6:30 pm to 8:45 pm = 2 hr 15 min
Time in minutes = (2 hr × 60 min/hr) + 15 min = 135 min
Average visit = 9 min per 2 houses = 4.5 min per house
Number of visits = 135 min ÷ 4.5 min/house = 30 houses
Answer:
2√137
Step-by-step explanation:
To find AB, we can use the Pythagorean Theorem (a² + b² = c²). In this case, a = 22, b = 8 and we're solving for c, therefore:
22² + 8² = c²
484 + 64 = c²
548 = c²
c = ± √548 = ± 2√137
c = -2√137 is an extraneous solution because the length of a side of a triangle cannot be negative, therefore, the answer is 2√137.