Explanation

Mean Value Theorem applies to functions that are continuous on a closed interval [a, b].

And differentiable on the open interval (a, b).

Explanation

The number of diagonals in a polygon can be calculated using the formula:

n(n-3)/2

where n is the number of sides.

For a 12-sided polygon (dodecagon):

n = 12

Number of diagonals = 12(12-3)/2

= 12(9)/2

= 108/2

= 54

Explanation

The average is the sum divided by the number of quantities:

Average = Sum / n

115 = 1840 / n

To find 'n', multiply both sides by 'n' and then divide by 115:

n = 1840 / 115

n = 16

Explanation

A square pyramid has a square base and four triangular faces.

So, it has a total of 5 surfaces: 1 square + 4 triangular.

Explanation

To find the number of students per row, divide total students by number of rows: 96 ÷ 6 = 16.

Each row has an equal number of students, so 16 students are in each row.