We have been given that a rectangular auditorium seats 1702 people. Also, the number of seats in each row exceeds the number of rows by 9.
Let us assume that there are x rows in the auditorium. Therefore, there must be (x+9) seats in the each row. This will also be equal to the number of columns in the auditorium.
Therefore, we can set up an equation as:

We can now factor this quadratic as shown below:

Upon solving this equation, we get:

Since number of rows cannot be negative. Therefore, there must be 37 rows in the auditorium. And hence, the number of seats in each row will be 37+9=46 seats.
There are 24 (2x8+2x4) posts around the pool with 4 overlaps, therefore, there are 20 posts in total.
Among the 8 posts along one side, there are 7 gaps in between them. Hence, the length is 2x7=14yards
Among the 4 posts on the other side, there are 3 gaps in between them. Hence, the width is 2x3=6 yards
You find the range by plugging 0 ,2 and 4 into x^2 + 1.
for x = 0 y = 0 + 1 = 1
x = 2, y = 2^2 + 1 = 5
x = 4 y = 4^2 + 1 = 17
so the range is {1, 5, 17}
Step-by-step explanation:
A=a+b/2
2×A=a+b
2A=a+b
2a-a=b
a=b
hope it helps
Answer:
Correct option is B.
Step-by-step explanation:
Given the radius of circle and the angle in sector we have to find the area of shaded region i.e minor sector.
∴ Area of sector is
Correct option is B.