Explanation

20 km → 5 cm

80 km → ?

Scale factor: 80/20 = 4 times

So, 5 cm × 4 = 20 cm

Last verified on 09-02-2026

Explanation

Principal = 200,000

Rate = 5% per year

Time = 2 years

Simple Interest = (P × R × T)/100

= (200,000 × 5 × 2)/100

= 20,000

Total Amount = Principal + Interest

= 200,000 + 20,000

= 220,000

Last verified on 09-02-2026

Explanation

Area = 72x² - 18

= 18(4x² - 1)

= 18(2x+1)(2x-1)

Area of triangle = (1/2) × base × height

Assume base = length

18(2x+1)(2x-1) = (1/2) × (6x-3) × height

= (1/2) × 3(2x-1) × height

=> height = 12(2x+1)

= 6x - 3

Last verified on 09-02-2026

Explanation

Area = side²

625 = side²

side = √625

side = 25 cm

Last verified on 09-02-2026

Explanation

Arithmetic sequence formula:

• aₙ = nth term
• a₁ = first term
• n = term number
• d = common difference

Formula: aₙ = a₁ + (n - 1)d

Last verified on 09-02-2026

Explanation

The associative property of the union states that:

A ∪ (B ∪ C) = (A ∪ B) ∪ C

This means that the order in which we perform the union operation does not change the result.

Last verified on 09-02-2026

Explanation

The property that states:

a + b = b + a

It is known as the Commutative property of addition.

It indicates that the order of the numbers being added does not change the result.

Last verified on 09-02-2026

Explanation

In inverse proportion, when one quantity increases, the other decreases in the same ratio.

Their product remains constant: x × y = constant.

Last verified on 09-02-2026

Explanation

S5 = n/2 [2a + (n-1)d]

75 = 5/2 [2(5) + (5-1)d]

75 = 5/2 [10 + 4d]

30 = 10 + 4d

4d = 20

d = 5

Last verified on 09-02-2026

Explanation