Explanation

Explanation

• The range is the difference between the maximum and minimum values in a data set.
• It shows the spread or dispersion of the data.
• Formula: Range = Maximum value − Minimum value

Additional information:

• Example Data Set: 4, 7, 10, 15, 20 → Range = 20 − 4 = 16

Other Measures of Central Tendency:

• Mean → Average of values
• Mode → Most frequent value
• Median → Middle value

Last verified on 19-01-2026

Explanation

Step 1: Calculate the first expression

First, we add 73 to 89, which gives 73+89=162

Step 2: Double the sum and verify the resul

.Then, we double this amount: 162 x 2=324

Next, we calculate the square of 18, which is 18^{2}=18 x  18=324

Explanation

Explanation

$$0.004\times 0.5=0.002$$

Explanation

The sequence divides each term by 3:

• $486÷3=162$

• $162 ÷ 3 = 54$

• $54÷3=18$

• $18 ÷ 3 = 6$

• $6÷3=2$

Explanation

Mid-term breaking is a method used to factorize quadratic expressions like  ax^2+bx+c.

It involves splitting the middle term into two terms whose product equals a×c.

Explanation

The area of a trapezium (or trapezoid) is found by averaging the lengths of its two parallel sides (a and b) and multiplying by the perpendicular height (h), using the formula:

Formula

Area = ½ × (sum of parallel sides) × height

Area = ½ × (a + b) × h 

Steps to Calculate

• Identify the lengths of the two parallel sides (a and b) and the perpendicular height (h).
• Add the lengths of the parallel sides (a + b).
• Multiply the sum by the height (h).
• Divide the result by 2 (or multiply by ½) to get the area. 

Explanation

The Pythagoras theorem asserts that in a right-angled triangle, the square of the hypotenuse's length (C) is equivalent to the combined sum of the squares of the lengths of the other two sides (A and B)

Pythagoras Theorem:

It states that in a right-angled triangle:

c = √(a² + b²)

where c is the hypotenuse, and a and b are the other two sides.

This formula helps calculate the length of the hypotenuse.

Explanation

Two polygons are considered similar if and only if both of the following conditions are met: 

All corresponding sides are proportional: The ratio of the lengths of corresponding sides must be the same for all pairs of sides. This constant ratio is called the scale factor.

All corresponding angles are equal (congruent): Each angle in one polygon must have the exact same measure as its corresponding angle in the other polygon.