Distance = Speed × Time = 60 km/h × 3.5 h = 210 km.

Area = 1/2 * (base1 + base2) * height = 1/2 * (10 + 6) * 5 = 40 cm².

Let the measure of each equal angle be x. Then, 90 + 3x = 360. Solving gives x = 90 degrees.

Let the angles be 2x, 3x, and 4x. Then, 2x + 3x + 4x = 180°. So, 9x = 180°; x = 20°. The largest angle is 4x = 80°.

Cost per kg = $32 / 8 kg = $4. Therefore, 5 kg will cost 5 kg * $4 = $20.

If the diagonals bisect each other at right angles, it is a rhombus.

Let the original number be 10a + b. The reversed number is 10b + a. The equation is 10b + a = 10a + b - 27. Solving gives a = 7 and b = 2, so the original number is 72.

If the side is doubled, the volume increases by a factor of 2^3 = 8.

Product D sold 200 units out of a total of 500 units.

The side length is the cube root of the volume: cube root of 729 is 9.

In similar triangles, corresponding angles are equal.

Substituting x = 1 gives 1^2 - 4(1) + 4 = 1 - 4 + 4 = 1.

Taking the square root of both sides, x = ±9.

Taking the square root of both sides, y = ±12.

Taking the square root of both sides, z = ±7.

In a bipartite graph, the maximum number of edges is the product of the sizes of the two sets. Here, it is 4 * 6 = 24.

The total number of edges in a directed graph is the sum of the out-degrees. Here, it is 6 * 3 = 18.

The maximum number of edges in a simple graph with n vertices is given by n(n-1)/2. For n=5, it is 5(5-1)/2 = 10.

The total number of edges is half the sum of the degrees. Here, (4*6)/2 = 12.

Let the width be x. Then, length = 2x. The perimeter is 2(x + 2x) = 48, so x = 8 cm.

In a rhombus, opposite angles are equal. Therefore, the opposite angle is also 60 degrees.

The sales for Product C grew from $1000 in Q1 to $1300 in Q2, which is a growth rate of 30%.

Subtract 3x from both sides: 7x + 5 = 20. Subtract 5: 7x = 15. Divide by 7: x = 15/7.

Subtract 5 from both sides: 2x = 10. Then divide by 2: x = 5.

Subtract 4x from both sides: 3x - 3 = 12. Add 3: 3x = 15. Divide by 3: x = 5.

To subtract 5/6 from 7/8, find a common denominator, which is 24. Convert: 7/8 = 21/24 and 5/6 = 20/24. So, 21/24 - 20/24 = 1/24.

To find 1/3 of 3/4, multiply: (1/3) * (3/4) = 3/12 = 1/4.

Convert 1/2 to a common denominator of 8: 1/2 = 4/8. So, 3/8 + 4/8 = 7/8.

Area = π * (radius)² = π * (10/2)² = π * 25 = 25π cm².

Area = π * r² = π * 5² = 25π cm² ≈ 78.5 cm².