Questões: Universidade do Estado de Santa Catarina (UDESC) — com gabarito

Text 4

Eclipse in Africa: 'Ring of Fire' eclipse wows stargazers

Stargazers in parts of Africa have been treated to a spectacular "ring of fire" in the sky as the sun was almost - but not completely - eclipsed.

An annular eclipse happens when the moon is farther away from the Earth than during a total eclipse.

The result is a bright circle of sunshine surrounding a dark, shadowy core.

The best views were seen in Tanzania, where the event lasted about three minutes.

The eclipse could also be viewed in parts of Gabon, Congo-Brazzaville, the Democratic Republic of Congo, Madagascar, and the French Indian Ocean island of La Reunion.

The moon does not move in a perfect circle around the earth - instead, its orbit is slightly elliptical. That means the distance of the moon varies between around 225,000-252,000 miles (362,000-405,555 km).

When the moon is farther away from the earth, it appears smaller - and does not totally cover the sun's disc during a total eclipse. The result is also known as a "ring of fire" eclipse.

The next eclipse is due to take place in February 2017, and can be seen from parts of South America and Africa.

Avaiable at:http://www.bbc.com/news/world-africa. Accessed on 02/09/16.

Answer the question below, according to the Text 4.

Text 4

Eclipse in Africa: 'Ring of Fire' eclipse wows stargazers

Stargazers in parts of Africa have been treated to a spectacular "ring of fire" in the sky as the sun was almost - but not completely - eclipsed.

An annular eclipse happens when the moon is farther away from the Earth than during a total eclipse.

The result is a bright circle of sunshine surrounding a dark, shadowy core.

The best views were seen in Tanzania, where the event lasted about three minutes.

The eclipse could also be viewed in parts of Gabon, Congo-Brazzaville, the Democratic Republic of Congo, Madagascar, and the French Indian Ocean island of La Reunion.

The moon does not move in a perfect circle around the earth - instead, its orbit is slightly elliptical. That means the distance of the moon varies between around 225,000-252,000 miles (362,000-405,555 km).

When the moon is farther away from the earth, it appears smaller - and does not totally cover the sun's disc during a total eclipse. The result is also known as a "ring of fire" eclipse.

The next eclipse is due to take place in February 2017, and can be seen from parts of South America and Africa.

Avaiable at:http://www.bbc.com/news/world-africa. Accessed on 02/09/16.

Answer the question below, according to the Text 4.

The Mice In Council

One day a group of mice decided to call a meeting to see what they could do about the cat which was always trying to catch them. They talked about lots of plans but none of them seemed like they would work. At last, a young mouse got up and said that a bell should be hung around the cat's neck so all the mice would be able to hear when he was coming closer. All the mice thought this was an excellent idea. However, an older mouse got up and spoke, "This is a really good idea but who is going to tie the bell around the cat's neck?"

Avaiable at: www.johnmh.com/advreaidngs. Acessed on 22/08/16.

Answer the question below, according to the Text 3.

The Mice In Council

One day a group of mice decided to call a meeting to see what they could do about the cat which was always trying to catch them. They talked about lots of plans but none of them seemed like they would work. At last, a young mouse got up and said that a bell should be hung around the cat's neck so all the mice would be able to hear when he was coming closer. All the mice thought this was an excellent idea. However, an older mouse got up and spoke, "This is a really good idea but who is going to tie the bell around the cat's neck?"

Avaiable at: www.johnmh.com/advreaidngs. Acessed on 22/08/16.

Answer the question below, according to the Text 3.

Text 2

Rio Olympics 2016: Opening Ceremony celebrates Brazil to open games.

The 2016 Olympics have been formally opened ………………… a colourful and pulsating ceremony at Rio's Maracana stadium.

Broadcast to an estimated audience of three billion, it celebrated Brazil's history, culture and natural beauty, before former marathon runner Vanderlei de Lima lit the Olympic cauldron.

Wimbledon champion Andy Murray led the Great Britain team into the arena.

The build-up to Rio 2016 has been played ……………. against a deep recession and political protests in Brazil.

The Games, the first to be held in South America, have also been disrupted by concerns ……….. the Russian doping scandal, the Zika virus and problems with the city's security, infrastructure and venues.

But organisers will hope the focus can now shift to the action ……….. 28 sports, with 207 teams, after the Games of the 31st Olympiad were officially opened.

The cauldron was lit …………… De Lima, who won bronze for Brazil in the marathon at the 2004 Games after he was grappled by a spectator while leading the race.

Football legend Pele had ruled himself out of performing the role saying he was not in the right "physical condition".

Avaiable at: www.bbc.co.uk/sport/olympics. Accessed on 22/08/16

Answer the questions below, according to the Text 2.

Seja ABCD um trapézio isósceles com ângulo  = 60º e com distância de 6 cm entre as bases, como mostra a Figura 3. 

Figura 3: Trapézio isósceles

Sabendo que o prolongamento do lado CD do trapézio encontra-se com a mediatriz do lado BC em um ponto E, de tal forma que o segmento  mede 10 cm, a área do trapézio é:

Sejam A,B, X e Y matrizes quadradas de ordem 2 tais que, A e B = .

A soma dos determinantes das matrizes X e Y sabendo que 2X - 2Y = A . B e - X + 2Y = AT é igual a: