Tag: science & technology

The Mid-Ocean Ridge is a continuous underwater mountain system stretching approximately 65,000 km (40,000 miles) around the globe, making it Earth's longest mountain range. The Andes are the longest continental (above-water) range at about 7,000 km, followed by the Rocky Mountains and Himalayas.

The Andes is the longest continental mountain range on Earth, stretching approximately 7,000 km along South America's western coast. It far exceeds other major ranges like the Alps, Himalayas, and Rockies in length.

The Alps is the most significant and extensive mountain range in Europe, stretching across several countries including France, Switzerland, Italy, and Austria. The Andes are in South America, while Vosges and Hohe Tauern are smaller European ranges.

The Great Dividing Range is Australia's most significant mountain range, running along the eastern coastline from Queensland to Victoria. It separates the coastal plains from the interior Outback.

The Himalayas contain Mount Everest (8,849m), the world's highest peak above sea level. The Andes have the highest peak in the Western Hemisphere (Aconcagua), but the Himalayas are home to the ultimate high point on Earth.

The potential energy (PE) of an object at height h is given by PE = m × g × h, where m is mass, g is acceleration due to gravity, and h is height. This formula represents the work done against gravity to lift the object. The other options are incorrect: option B resembles kinetic energy formula, options C and D have incorrect mathematical relationships.

In trigonometry, cot is the abbreviation for cotangent, which is defined as the ratio of the adjacent side to the opposite side in a right triangle (cos/sin). The other options (cotton, collaborative, cotuition) are not trigonometric terms. Cot 45° = 1 because at 45°, the adjacent and opposite sides are equal.

The identity tan θ = 1/(cot θ) is true because cot θ is defined as 1/tan θ. Therefore, tan θ = 1/(cot θ) is mathematically correct for all values where both functions are defined. This reciprocal relationship is fundamental in trigonometry.