Explanation

Content selection based on maturity and learning sequence ensures smooth progression, promoting continuity of learning experiences.

This helps students build knowledge logically and effectively over time.

Explanation

Given the area A = 172.1 cm², and the formula for the area of a circle is A = πr²:

Step 1: Find the radius

172.1 = πr²

r² = 172.1 / π

r² = 172.1 / (22/7)

r² = 172.1 * (7/22)

r² = 54.77

r ≈ √54.77

r ≈ 7.4

Step 2: Calculate the circumference

Circumference C = 2πr

C = 2 * (22/7) * 7.4

C ≈ 2 * 3.14 * 7.4

C ≈ 46.51

Explanation

The phrase "The press has become a great power" is commonly used to highlight the influential role of the media.

It refers to the press as the "Fourth Estate," emphasizing its strong impact on public opinion and democracy.

Explanation

Naturalists emphasize learning through natural, child-centered activities like play way methods.

This approach encourages exploration and learning in a fun, engaging environment.

Explanation

حدیثِ نبوی صلی اللہ علیہ وسلم ہے: "تم میں بہتر وہ ہے جس نے قرآن سیکھا اور سکھایا"۔

یہ علمِ قرآن کی اہمیت اور دوسروں تک پہنچانے کی فضیلت کو ظاہر کرتا ہے۔

Explanation

Given cosx(tan x + cot x):

Step 1: Express tan x and cot x in terms of sin x and cos x

tan x = sin x / cos x

cot x = cos x / sin x

Step 2: Substitute and simplify

cosx(tan x + cot x) = cosx(sin x / cos x + cos x / sin x)

= sin x + cos² x / sin x

= (sin² x + cos² x) / sin x

= 1 / sin x (since sin² x + cos² x = 1)

Step 3: Identify the result

1 / sin x = cosec x

Explanation

To express 27 minutes 30 seconds and 1 hour in ratio:

Step 1: Convert both times to seconds

27 minutes 30 seconds = (27 * 60) + 30

= 1620 + 30

= 1650 seconds

1 hour = 60 minutes = 60 * 60

= 3600 seconds

Step 2: Calculate the ratio

Ratio = 1650 : 3600

To simplify, divide both parts by their greatest common divisor, which is 150:

= (1650 / 150) : (3600 / 150)

= 11 : 24

Explanation

Given the area of the square is 16 cm²:

Step 1: Find the side length

Area = side²

16 = side²

side = √16

side = 4 cm

Step 2: Calculate the diagonal

The diagonal of a square can be found using the formula d = side√2.

d = 4√2

Explanation

قرآن مجید اللہ تعالیٰ کی طرف سے نازل کیا گیا۔

یہ ہدایت کی کتاب ہے جو حضرت محمد صلی اللہ علیہ وسلم پر وحی کے ذریعے نازل ہوئی۔

Explanation

Reliability means a tool consistently produces the same results over repeated trials.

It ensures the measurement is stable and dependable.