Problem: In 1816, the United Kingdom annexed the islands, ruling them from the Cape Colony in South Africa. This is reported to have primarily been a measure to ensure that the French would be unable to use the islands as a base for a rescue operation to free Napoleon Bonaparte from his prison on Saint Helena. The occupation also prevented the United States from using Tristan da Cunha as a cruiser base, as it had during the War of 1812.
where did the UK rule the islands from?
The answer is the following: South Africa

Problem: There are two types of transistors, which have slight differences in how they are used in a circuit. A bipolar transistor has terminals labeled base, collector, and emitter. A small current at the base terminal (that is, flowing between the base and the emitter) can control or switch a much larger current between the collector and emitter terminals. For a field-effect transistor, the terminals are labeled gate, source, and drain, and a voltage at the gate can control a current between source and drain.
In a field-effect transistor, what controls the current between the source and drain?
The answer is the following: a voltage at the gate

Problem: Visual arts by indigenous peoples of the Americas comprise a major category in the world art collection. Contributions include pottery, paintings, jewellery, weavings, sculptures, basketry, carvings, and beadwork. Because too many artists were posing as Native Americans and Alaska Natives in order to profit from the caché of Indigenous art in the United States, the U.S. passed the Indian Arts and Crafts Act of 1990, requiring artists to prove that they are enrolled in a state or federally recognized tribe. To support the ongoing practice of American Indian, Alaska Native and Native Hawaiian arts and cultures in the United States, the Ford Foundation, arts advocates and American Indian tribes created an endowment seed fund and established a national Native Arts and Cultures Foundation in 2007.
Pottery, weavings and carvings are just some of the contributions to art by which peoples? 
The answer is the following: indigenous

Problem: Mechanically scanned, 30-line television broadcasts by John Logie Baird began in 1929, using the BBC transmitter in London, and by 1930 a regular schedule of programmes was transmitted from the BBC antenna in Brookmans Park. Television production was switched from Baird's company to what is now known as BBC One on 2 August 1932, and continued until September 1935. Regularly scheduled electronically scanned television began from Alexandra Palace in London on 2 November 1936, to just a few hundred viewers in the immediate area. The first programme broadcast – and thus the first ever, on a dedicated TV channel – was "Opening of the BBC Television Service" at 15:00. The first major outside broadcast was the coronation of King George VI and Queen Elizabeth in May 1937. The service was reaching an estimated 25,000–40,000 homes before the outbreak of World War II which caused the service to be suspended in September 1939. The VHF broadcasts would have provided an ideal radio beacon for German bombers homing in on London, and the engineers and technicians of the service would be needed for the war effort, in particular the radar programme.
What was the title of the first show seen on the BBC?
The answer is the following:
Opening of the BBC Television Service