Explanation

• Roni covers 100 meters in 45 seconds.
• Willy covers 100 meters in 36 seconds.

1. Roni's speed:

   Speed of Roni=100 m / 45 s​=20​/9 m/s

2. Distance Roni covers in 36 seconds:

   Distance=Speed×Time=20/9​×36=80 m

3. Since Willy finishes the race (100 m) when Roni has only covered 80 m, Willy beats Roni by:

   $$100-80=20\text{ m}$$

Explanation

The measure of the external angle of a regular hexagon is 60°.

This is because a hexagon has 6 sides, and the sum of the external angles of any polygon is always 360°, so 360° ÷ 6 = 60°.

Explanation

The most frequent or curing value in a data set is called the Mode.

Mode is the value that appears most often in the data set.

Explanation

If two circles touch internally, the distance between their centers is the difference of their radii: r₁ - r₂.

r₁ is the radius of the larger circle, and r₂ is the radius of the smaller circle.

If the sum of the radii equals the distance between the centers, the circles touch externally.

Explanation

To find the cube root of 0.000126:

0.000126 = 126/1,000,000

Cube root of (126/1,000,000) = (6/100) = 0.06

So, the cube root of 0.000126 is 0.06.

Explanation

The quadratic equation whose roots are reciprocal of:

2x2 + 5x + 3 = 0 can be obtained by replacing x by 1/x.

Hence, 2(1/x)2 + 5(1/x) + 3 = 0

=> 3x^2 + 5x + 2 = 0

Explanation

One and only one line can pass through two points.

This is because two points uniquely define a line.

Explanation

The median of a set with an odd count (2n+1) is the (n+1)th position.

For the exact median in ordered data, we use (n+1)2 for calculation.

Explanation

Zero is a whole number.

It belongs to the set of whole numbers (0, 1, 2, 3, ...).

Natural numbers start from 1 (1, 2, 3, ...).

Explanation

The logarithm of any number to itself as base is 1.

This is because log(a)/a = 1, where 'a' is any number.