Explanation

When a die is rolled twice, total outcomes = 6 × 6 = 36

We need sum > 9, so sums 10, 11, 12

Sum 10: (4,6), (5,5), (6,4) → 3 ways  

Sum 11: (5,6), (6,5) → 2 ways  

Sum 12: (6,6) → 1 way  

Total favorable outcomes = 3 + 2 + 1 = 6

Probability = favorable / total = 6/36 = 1/6.

Last verified on 10-06-2026

Explanation

Surface area of cuboid = 2(lw + wh + hl)  

Where l = length, w = width, h = height

Given: l = 6cm, w = 4cm, h = 3cm

lw = 6 × 4 = 24  

wh = 4 × 3 = 12  

hl = 3 × 6 = 18

Add them: 24 + 12 + 18 = 54

Multiply by 2: 2 × 54 = 108

Surface area = 108 cm²

Last verified on 10-06-2026

Explanation

An isosceles triangle is a triangle with two sides of equal length.

If all three sides are equal, it is called an equilateral triangle.

A scalene triangle has all sides of different lengths, and a right triangle has one right angle (90 degrees).

Last verified on 15-03-2026

Explanation

Son's current age = 12 years  

Father is 30 years older than son

Father's current age = 12 + 30 = 42 years

5 years from now:  

Father's age = 42 + 5 = 47 years  

Son's age = 12 + 5 = 17 years

Check: 47 - 17 = 30 years difference.

Last verified on 10-06-2026

Explanation

Series: 1, 1, 2, 6, 24, 120, ?

This is factorial pattern:  

1 = 1!  

1 = 1!  

2 = 2!  

6 = 3!  

24 = 4!  

120 = 5!  

Next = 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720

Last verified on 10-06-2026

Explanation

Given: 6 + 3 × 4 - 2

Do multiplication first:  

3 × 4 = 12

Now: 6 + 12 - 2

Do addition then subtraction:  

6 + 12 = 18  

18 - 2 = 16

Last verified on 10-06-2026

Explanation

tanθ = opposite / adjacent = 3/4  

Make a right triangle:  

Opposite = 3, Adjacent = 4  

Find hypotenuse using Pythagoras:  

hypotenuse² = 3² + 4² = 9 + 16 = 25  

hypotenuse = 5

sinθ = opposite / hypotenuse = 3/5

Last verified on 10-06-2026

Explanation

Midpoint formula = (x1 + x2)/2 , (y1 + y2)/2

Given points: (2, 4) and (6, 8)  

So x1 = 2, y1 = 4, x2 = 6, y2 = 8

Add x values: (2 + 6)/2 = 8/2 = 4  

Add y values: (4 + 8)/2 = 12/2 = 6

Midpoint = (4, 6)

Last verified on 10-06-2026

Explanation

Formula: Area = 1/2 × base × height

base = 10 cm

height = 12 cm

Area = 1/2 × 10 × 12

     = 5 × 12

     = 60 cm²

Last verified on 10-06-2026

Explanation

x^2 - 5x + 6 = 0

Find 2 numbers: add = 5, multiply = 6

Those numbers = 2 and 3

So (x-2)(x-3) = 0

x = 2, 3

Last verified on 10-06-2026