Explanation

The smallest two-digit number is 10.

The largest two-digit number is 99.

Subtract the smallest from the largest:

99 - 10 = 89

Explanation

To solve the equation, find a common denominator:

x/2 + x/3 = 5

The least common multiple of 2 and 3 is 6:

(3x + 2x) / 6 = 5

Combine like terms:

5x / 6 = 5

Multiply both sides by 6:

5x = 30

Divide by 5:

x = 6

Explanation

6³ = 6 × 6 × 6= 216

Explanation

Explanation

A chord is a line segment that connects two points on a circle.

If the chord passes through the center, it is called the diameter.

Explanation

Let the unknown number be x.

According to the equation: x + 4 = 12

Solving for x: x = 12 - 4 = 8

Explanation

Using the identity:

a³ + b³ = (a + b)³ - 3ab(a + b)

Given:

a + b = 4

ab = 3

Substitute the values:

a³ + b³ = (4)³ - 3(3)(4)

= 64 - 36

= 28

Explanation

The mode is the number that appears most frequently in a dataset.

Since all numbers in the given data appear only once, there is no mode.

Explanation

Using trigonometry, specifically the sine function:

sin(θ) = opposite side (height) / hypotenuse

Given:

θ = 45°

hypotenuse = 10 feet

Rearrange the formula to solve for height:

height = hypotenuse × sin(45°)

= 10 × (√2 / 2)

= 10 × √2 / 2

= 5√2 feet

Explanation

Then, Ahmed's age after 15 years $=(x+15)$ years.
Ahmed age of 5 years back $=(x-5)$ years.
Given, $(x+15)=5(x-5)$
$x+15=5x-25$
$5x-x=15+25$
$4x=40$