Explanation

Explanation

The trigonometric identity is:

1 + cot²θ = csc²θ

Explanation

Total marks of 5 students = 5 × 18 = 90

Total marks of 6 students = 6 × 19 = 114

Marks of the sixth student = 114 - 90 = 24

Explanation

The hypocenter is the point inside the Earth where the rocks break, causing an earthquake.

The point directly above the hypocenter on the surface is called the epicenter.

Explanation

Qualitative research explores the underlying reasons and meanings behind teaching methods and experiences.

It involves descriptive analysis, interviews, and observations to understand educational practices deeply.

Explanation

"Itself" is the correct reflexive pronoun to refer back to the cat, a singular third-person subject.

Reflexive pronouns are used when the subject and the object of the sentence are the same.

Explanation

"Reason" is a noun because it names a cause or explanation.

It is the subject of the phrase "For this reason", indicating why something happens.

Explanation

The nth term is given by n(n-1). To find the 11th term, substitute n = 11:

Step 1: Calculate the 11th term

11th term = 11(11 - 1)

= 11 * 10

= 110

Explanation

The total marks of 5 boys is 36 * 5 = 180.

When the sixth boy's marks are included, the total becomes 32 * 6 = 192.

The sixth boy's marks are 192 - 180 = 12.

Explanation

Area of a pizza (circle) = π × r², where r = b

With crust thickness a, and using π ≈ n,

Value (volume-like expression) becomes:

n × b² × a = nb²a