Area = (1/2) × (base1 + base2) × height. Thus, 60 = (1/2) × (10 + 20) × height, giving height = 60 / 15 = 4 units.

Area = (1/2) × (base1 + base2) × height. Thus, 60 = (1/2) × (10 + 20) × height, giving height = 60 / 15 = 4 units.

Area = 1/2 * base * height. Therefore, 24 = 1/2 * 8 * height, which gives height = 6 cm.

The area of a triangle is given by the formula Area = 1/2 * base * height. Thus, 24 = 1/2 * 8 * height, which gives height = 6 cm.

Area of a triangle = (1/2) × base × height. Thus, 50 = (1/2) × 10 × height. Solving gives height = 10 units.

Total = Average × Number of items = 50 × 10 = 500.

Total = Average × Number of items = 50 × 8 = 400.

Total = Average × Count = 50 × 10 = 500.

Sum of the numbers = Average × Number of items = 30 × 5 = 150.

Let the integers be (x-1), x, and (x+1). Their average is (x-1 + x + x+1) / 3 = x.

Let the two numbers be a and b. (a + b) / 2 = 30. If a = 20, then 20 + b = 60, hence b = 40.

Let the other number be x. The average is (30 + x) / 2 = 40. Solving gives x = 50.

In base 'b', '10' represents 'b'. In base 'b+1', it becomes '11'.

The sum of the coefficients in the expansion of (x + 1)^n is found by substituting x = 1, which gives 2^n.

The term containing x^2 is C(4,2) * x^2 * 2^2 = 6 * x^2 * 4 = 24x^2.

The number of terms in the expansion of (a + b)^n is n + 1, so for n = 7, there will be 8 terms.

Circumference = 2πr. Therefore, r = circumference / (2π) = 31.4 / (2 * 3.14) = 5 cm.

Using the formula C = 2πr, we find r = C/(2π) = 31.4/(2*3.14) = 5 cm.

C(n,k) represents the number of ways to choose k items from n, which corresponds to the coefficient of x^k.

Profit = Selling Price - Cost Price = 600 - 500 = 100. Profit Percentage = (Profit/Cost Price) * 100 = (100/500) * 100 = 20%.

Gain = Selling Price - Cost Price = 600 - 500 = 100. Gain percentage = (Gain/Cost Price) * 100 = (100/500) * 100 = 20%.

The decimal number 10 is represented as 1010 in binary.

The decimal number 15 is represented as 1111 in binary.

The decimal number 255 converts to binary as 11111111.

A kite has diagonals that bisect each other at right angles.

If the diagonals of a quadrilateral bisect each other, it is a property of parallelograms.

The difference between CI and SI for 2 years is given by P * (r^2)/100^2. Setting this equal to $50 and solving gives P = $1500.

The difference between compound interest and simple interest for 2 years is given by SI * (r/100)^2. Setting this equal to $50 and solving gives Principal = $1200.

The difference SI and CI for 2 years is given by P * r^2 / 200. Setting this equal to 50 gives P = $1500.

To solve for x, subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.