Explanation

The lateral surface area of a right circular cone is given by the formula: πrℓ, where r is the radius and ℓ is the slant height.

This excludes the base area; the total surface area would be πr(r + ℓ).

Explanation

When two lines intersect, they form four angles around the intersection point.

The sum of these four angles is always 360°, as they complete a full circle.

Explanation

Basic assumptions (also called axioms or postulates) are statements accepted as true without proof.

Theorems, on the other hand, require proof based on these assumptions.

Explanation

The value of cosec 30° is the reciprocal of sin 30°.

Since sin 30° = 1/2,

cosec 30° = 1 / (1/2) = 2

Explanation

In a right-angled triangle, one angle is 90°, and the sum of all three angles is 180°.

So, the sum of the two acute angles is:

180° - 90° = 90°

Explanation

The size of a class interval is calculated as:

Class Size = Upper Boundary - Lower Boundary

For (1 - 4): 4 - 1 = 3

Explanation

Zakat is typically calculated as 2.5% of the total amount, which can also be expressed as 1/40.

So, Zakat on Rs. x is:

1/40x

Explanation

To find the GST amount, multiply the cost of the milk powder by the GST percentage:

GST = 500 × 16/100

= 500 × 0.16

= 80

Explanation

To convert 2/3 hours to minutes, we need to multiply 2/3 by the number of minutes in an hour, which is 60.

So, 2/3 hours = (2/3) × 60 minutes = 2 × 20 minutes = 40 minutes.

Explanation

Let's denote the three angles as x, x, and 2x, since they are in the ratio 1:1:2.

The sum of the angles in a triangle is always 180°:

x + x + 2x = 180°

Combine like terms:

4x = 180°

Divide by 4:

x = 45°

Now that we know x, we can find the other angles:

x = 45°

x = 45°

2x = 90°