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).

Explanation

The Trapezoidal Rule is a numerical method to approximate the definite integral of a function.

It works by dividing the area under a curve into trapezoids instead of rectangles for better accuracy.

Explanation

R = xS⁴  

When S = 5, R = 6  

So,  

6 = x × (5)⁴ = x × 625  

⇒ x = 6 / 625

Now find R when S = 8:  

R = (6 / 625) × (8)⁴ = (6 / 625) × 4096  

= 24576 / 625 = 39.3216

Explanation

The sum of the interior angles of a polygon can be calculated using the formula:

(n-2) × 180°, where n is the number of sides.

For a hexagon, n = 6.

Sum of interior angles = (6-2) × 180°

= 4 × 180°

= 720°

Explanation

The exterior angle theorem states that an exterior angle is equal to the sum of the two opposite interior angles.

Here, the exterior angle at A (x) is equal to 40° + 100° (sum of interior angles opposite to x).

x = 140° as per the exterior angle theorem.

Explanation

Using Pythagoras' theorem:

c² = a² + b²

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10 cm

The length of the hypotenuse is 10 cm.

Explanation

Area = (9 x 12) : 2 = 54 square unit

ND5-07-2023

Explanation

A pie chart is a way of summarizing a set of nominal data or displaying the different values of a given variable.

Explanation

A chord is a line segment with both endpoints on the circle.

Unlike a secant, it does not extend outside the circle.

Explanation

The area of a square is given by the formula A = s², where A is the area and s is the length of a side.

Given A = 169 in², we can solve for s: s = √A = √169 = 13 inches.