Considere uma circunferência de centro C e raio 4cm, que se apoia sobre uma reta tangente r, como indicado na figura, e P, um ponto da circunferência posicionado na horizontal à direita de C.

Sabe-se que P se desloca sobre a circunferência, no sentido horário, até ocupar uma posição em que sua distância à reta r mede 3cm.

Se a mesma localização de P fosse obtida através de um deslocamento no sentido anti-horário, então é correto afirmar que a amplitude da rotação feita por P mediria, em radianos,

Quando o número de queixas de roubo de aparelhos celulares registradas em uma delegacia chegou a 100, passou-se a monitorar essas queixas, constatando-se que o seu crescimento era, em média, de 20% a cada semana.

Nessas condições, considerando, se necessário, log2 = 0,31 e log3 = 0,48, pode-se estimar que o número de queixas semanais deverá ultrapassar 1200 em um número de semanas, no mínimo, igual a

The Slow Down Diet: Eating for Pleasure,

Energy, and Weight Loss

Our modern culture is very interested in doing as much as possible in the least amount of time. As a result, most people rush through life at a speed that makes a healthy lifestyle impossible. We eat fast, on the run, and often under stress. As a result, we not only lose most of the pleasure we might get from our food, but we also damage our health. Many of us come to the end of the day feeling depressed and overweight.

In The Slow Down Diet, Marc David presents a new way to understand our relationship with food, encouraging us to look for quality ingredients and to take pleasure in eating. He presents an eight-week program that allows readers to analyze their own connection to food, helping them get rid of old habits and any guilt they may have. He explains the disadvantages of all “quick-fix” diets and tells the truth about common myths, such as “the right way to lose weight is to eat less and exercise more.” Instead, he shows us strategies that help both the body and the soul, proving that a full enjoyment of each meal is the best way to a healthy body.

Clive Oxenden & Christina Latham-Koenig. American English File, Workbook 3, p. 46, Oxford University Press, 2008.

Voyager 1 leaves the Solar System

An artist’s impression of NASA’s Voyager 1 space probe passing behind the rings of Saturn The Voyager 1 spacecraft has become the first man-made object to leave the solar system. The probe was launched 36 years ago and has spent years hurtling away from the sun. Now a new analysis has revealed that the craft crossed into interstellar space in August last year.

Voyager 1 was launched into space in 1977 to study the planets beyond our own. But after passing them one by one, it just kept on going. And now scientists believe the probe left the edge of our solar system on the 25th August last year. It crossed a region known as the heliopause, where particles thrown out from the sun pile up against the matter and magnetic fields from other stars. Now, at nearly 12 billion miles from earth, it’s in interstellar space - a cold, dark part of the Milky Way filled with gas and dust. Ed Stone , the Voyager’s chief scientist says: “This is one of those journeys of exploration, like circumnavigating the globe for the first time, or having a footprint on the moon for the first time. This is the first time we have been exploring now, this new region of space, interstellar space.”

As Voyager 1 ventures into the unknown it will send data back to NASA. Eventually though, it will fall silent — its power supply is expected to run out in the next 10 years. But if the probe is ever happened upon by extraterrestrial beings as it floats through space they’ll find a record containing pictures and messages.

VOYAGER 1 leaves the Solar System. Disponível em: <www.bbc.co.uk/worldservice/learningenglish/language/wordsinthenews/2013/09/130913_witn_voyager_story.shtml>. Acesso em: 2 fev. 2014

“probe”: sonda.

Voyager 1 leaves the Solar System

An artist’s impression of NASA’s Voyager 1 space probe passing behind the rings of Saturn The Voyager 1 spacecraft has become the first man-made object to leave the solar system. The probe was launched 36 years ago and has spent years hurtling away from the sun. Now a new analysis has revealed that the craft crossed into interstellar space in August last year.

Voyager 1 was launched into space in 1977 to study the planets beyond our own. But after passing them one by one, it just kept on^(a) going. And now scientists believe the probe left the edge of our solar system on the 25th August last year. It crossed a region known as the heliopause, where particles thrown out from the sun pile up against the matter and magnetic fields from other stars. Now, at nearly^(b) 12 billion miles from earth, it’s in interstellar space - a cold, dark part of the Milky Way filled with gas and dust. Ed Stone , the Voyager’s chief^(c) scientist says: “This is one of those journeys of exploration, like circumnavigating the globe for the first time, or having a footprint^(d) on the moon for the first time. This is the first time we have been exploring now, this new region of space, interstellar space.”

As Voyager 1 ventures into the unknown it will send data back to NASA. Eventually though, it will fall silent — its power supply is expected to run out^(e) in the next 10 years. But if the probe is ever happened upon by extraterrestrial beings as it floats through space they’ll find a record containing pictures and messages.

VOYAGER 1 leaves the Solar System. Disponível em: <www.bbc.co.uk/worldservice/learningenglish/language/wordsinthenews/2013/09/130913_witn_voyager_story.shtml>. Acesso em: 2 fev. 2014

“probe”: sonda.

Voyager 1 leaves the Solar System

An artist’s impression of NASA’s Voyager 1 space probe passing behind the rings of Saturn The Voyager 1 spacecraft has become the first man-made object to leave the solar system. The probe was launched 36 years ago and has spent years hurtling away from the sun. Now a new analysis has revealed that the craft crossed into interstellar space in August last year.

Voyager 1 was launched into space in 1977 to study the planets beyond our own. But after passing them one by one, it just kept on going. And now scientists believe the probe left the edge of our solar system on the 25th August last year. It crossed a region known as the heliopause, where particles thrown out from the sun pile up against the matter and magnetic fields from other stars. Now, at nearly 12 billion miles from earth, it’s in interstellar space - a cold, dark part of the Milky Way filled with gas and dust. Ed Stone , the Voyager’s chief scientist says: “This is one of those journeys of exploration, like circumnavigating the globe for the first time, or having a footprint on the moon for the first time. This is the first time we have been exploring now, this new region of space, interstellar space.”

As Voyager 1 ventures into the unknown it will send data back to NASA. Eventually though, it will fall silent — its power supply is expected to run out in the next 10 years. But if the probe is ever happened upon by extraterrestrial beings as it floats through space they’ll find a record containing pictures and messages.

VOYAGER 1 leaves the Solar System. Disponível em: <www.bbc.co.uk/worldservice/learningenglish/language/wordsinthenews/2013/09/130913_witn_voyager_story.shtml>. Acesso em: 2 fev. 2014

“probe”: sonda.

Scent from my I-phone

Let’s say we’re talking on the phone. I’m having dinner by the Mediterranean. You’re in your office in a landlocked American city. “Can you smell the sea?” I ask. “Yes,” you say. “It’s almost like being there.” And because the evocative power of smell is so strong, that’s almost true. Just such experiences are being promised by a new project from Le Laboratoire, a Paris-based center of art, design, and science developing what’s called the OPHONE. The idea is to communicate scents much the way we communicate sounds and sights: by using our smartphones. An app connects to a pocketsize device that’s able to capture smells and break them down into their components — a sort of olfactory alphabet — then transmit them to another device thousands of miles away, where they are reconstituted. A fairly simple prototype limited to coffee smells is being demonstrated already at an exhibition in Paris. Harvard professor David Edwards, the founder of Le Laboratoire, expects to have more advanced models by next year, when he opens an art-science laboratory in Cambridge, Massachusetts. Fully commercialized OPHONEs are probably something for later in the decade. But, already, you can smell the possibilities.

DICKEY, Christopher. In BIG THINK, Around the world in five ideas, Newsweek, Aug. 12& 19, 2013 p.8.

Fill in the parentheses with T (True) or F (False).

About the OPHONE, it’s correct to say:

( ) It’s already on the market in all of Europe.

( ) It’s a special application that will make it possible to communicate smells through smartphones.

( ) It will be able to transmit all kind of scents only to short distances.

( ) It’s supposed to work the same way that sounds and images are transmitted.

According to the text, the correct sequence, from top to bottom, is

A cota de recursos naturais que a natureza poderia oferecer em 2013 se esgotou no [...] dia 20 de agosto deste ano. A data, inclusive, assinalou o Dia da Sobrecarga da Terra, marco anual de quando o consumo humano ultrapassou a capacidade de renovação do planeta. O cálculo foi divulgado pela Global Footprint Network (Rede Global da Pegada Ecológica), Organização Não Governamental (ONG).

(CONSUMO..., 2013, p. 28).

Com base na análise do texto, aliada aos conhecimentos sobre os recursos naturais, marque V nas afirmativas verdadeiras e F, nas falsas.

( ) O desenvolvimento tecnológico e o bem-estar da população justificam o aproveitamento predatório dos recursos naturais.

( ) O esgotamento dos recursos naturais está restrito aos países tropicais, devido ao uso de tecnologias obsoletas.

( ) O desafio das nações é de encontrar uma forma de desenvolvimento capaz de reduzir a demanda do capital natural.

( ) Atualmente, parte da população mundial vive em países cujos ecossistemas não se renovam na mesma proporção de sua utilização.

A alternativa que indica a sequência correta, de cima para baixo, é a