Explanation

Let the angles be 7x and 5x.

7x + 5x = 180° (supplementary angles)

12x = 180°

x = 15°

Difference = 7x - 5x = 2x = 2 × 15° = 30°

Explanation

Perimeter = 2(length + breadth)

300 = 2(120 + b)

300 = 240 + 2b

2b = 300 - 240

2b = 60

b = 30 cm

Explanation

The perimeter of a circle, also known as its circumference, is the distance around the circle.

The formula for the circumference of a circle is given by 2πr, where r is the radius of the circle.

This formula is derived from the fact that the circumference is proportional to the diameter (2r) of the circle, with π being the constant of proportionality.

Explanation

tan(60°) cot(60°) = tan(60°) × 1/tan(60°) = 1

Explanation

Area = (1/2) × base × height

Given:  

- Base (length) = 5 units  

- Height (width) = 4 units

Area = (1/2) × 5 × 4 = 10 square units