5² + 12² = 25 + 144 = 169 = 13²; it is a right triangle.

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.

Total production cost = Cost per kg × Total kg = $0.50 × 1500 kg = $750.

$5/kg * 250 kg = $1250

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.

Let the integers be x, x+1, x+2; x + (x+1) + (x+2) = 72; 3x + 3 = 72; 3x = 69; x = 23.

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.

South Korea launched a national strategy in 2021 to promote the use of electrochemical processes in industrial applications.

Tesla launched a new line of electric vehicles in 2021 that utilize advanced battery technology to enhance chemical reactions for better performance.

Chile became the first country to use a large-scale electrolysis plant to produce green hydrogen from renewable energy in 2022.

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.

Chloroplasts are the organelles in plant cells that conduct photosynthesis.

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.

Friction aids in stability by providing the necessary grip for joint movement.

In mammals, fertilization typically occurs in the fallopian tube.

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