Explanation

Feverish means بے چین

Calm means پرسکون

Dispassionate means ناپسندیدہ

Explanation

After he finished his meal, he went out.

The comma separates the introductory dependent clause ("After he finished his meal") from the independent clause ("he went out").

Explanation

Individuals with Down syndrome typically have short stature, not tall.

Other features like mental retardation, heart defects, and susceptibility to infections are common.

Explanation

Step 1: Calculate the perimeter of the square ground.

The perimeter of a square is given by P = 4 × side length. Here, the side length is 20 meters.

P = 4 × 20 = 80 meters

Step 2: Calculate the total distance covered in 5 rounds.

Total distance = Number of rounds × Perimeter

Total distance = 5 × 80 = 400 meters

Explanation

A cone has one curved edge, where the circular base meets the curved surface.

It has 1 face (curved) + 1 base and 1 vertex, but only one edge (not straight).

Explanation

"After that" is used to show the step just before the final one.

It helps transition smoothly toward the conclusion (which is marked by "Finally").

Explanation

Given:

105 increased in the ratio 9 : 7

To increase 105 in the ratio 9 : 7, we'll multiply 105 by 9/7:

New value = 105 × (9/7)

= 15 × 9

= 135

Explanation

Let's solve the equation:

2(x - 2) - 5(x - 5) = 4(x - 8) - 2(x - 2)

Expanding both sides:

2x - 4 - 5x + 25 = 4x - 32 - 2x + 4

Combine like terms:

-3x + 21 = 2x - 28

Add 3x to both sides:

21 = 5x - 28

Add 28 to both sides:

49 = 5x

Divide by 5:

x = 49/5

Explanation

A composite number is a positive integer that has at least one positive divisor other than 1 and itself.

Let's examine the numbers:

4: divisors are 1, 2, and 4 (composite)

9: divisors are 1, 3, and 9 (composite)

15: divisors are 1, 3, 5, and 15 (composite)

Since all numbers (4, 9, 15) have divisors other than 1 and themselves, they are composite numbers.

The group 4, 9, 15 consists entirely of composite numbers.

Explanation

To factorize the quadratic expression 2x² + 5x + 2, we need to find two numbers whose product is 2 × 2 = 4 and whose sum is 5. These numbers are 4 and 1.

2x² + 5x + 2 = 2x² + 4x + x + 2

= 2x(x + 2) + 1(x + 2)

= (x + 2)(2x + 1)