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Em cada novo elemento, novos triângulos equiláteros vão sendo inscritos nos anteriores. A área sombreada a partir do segundo elemento mostra a área do triângulo mais interno. Qual elemento dessa sequência terá área sombreada menor que um milésimo da área do primeiro elemento?
A figura abaixo mostra duas circunferÍncias de
mesmo raio R separadas por uma distância x
entre seus centros A e B:
A figura abaixo mostra duas circunferÍncias de
mesmo raio R separadas por uma distância x
entre seus centros A e B:
Indique o resultado da soma infinita:
P1 = algarismo da unidade + algarismo da centena + algarismo da dezena de milhar. Além disso, chamemos de P2 a soma:
P2 = algarismo da dezena + algarismo da unidade de milhar + algarismo da centena de milhar.
Sabe-se que P1 – P2 = 0, portanto pode-se dizer que o número é necessariamente divisível por:
Um raio de luz é inserido na extremidade inferior de um dos espelhos. O raio sofrerá múltiplas reflexões até sair do espelho, na outra extremidade inferior.
Com base nas medidas informadas na figura, e considerando que a luz percorre 300.000 km a cada segundo, quantos segundos a luz levará para sair dos espelhos, após sua entrada?
“For last year's words belong to last year's language
And next year's words await another voice.”
— T.S. Eliot, Four Quartets
“No man ever steps in the same river twice, for it's not the same river and he's not the same man.”
— Heraclitus
What central theme connects the ideas expressed in the passages by T.S. Eliot and Heraclitus?
Lead – Led, led
Feed – Fed, fed
Bleed – Bled, bled
Breed – Bred, bred
Read – Read, read
Which statement is correct?
1 - cat, hat, map
2 - sheep, meet, deed
3 - cup, luck, bus
Which statement describes the vowel sounds in these word sets?
1 - cup 2 - look 3 - shut 4 - bug 5 – truck
Which number corresponds to the word that has a different vowel sound from the others?
Read the text below to answer question
“To read these books, in this way, as an exercise in self-knowledge, carries certain risks. Risks that are both personal and political. Risks that every student of Political Philosophy has known. These risks spring from the fact that philosophy teaches us, and unsettles us, by confronting us with what we already know. There is an irony: the difficulty of this course consists in the fact that it teaches what you already know. It works by taking what we know from familiar unquestioned settings, and making it strange. [...] Philosophy estranges us from the familiar, not by supplying new information, but by inviting and provoking a new way of seeing.
But, and here is the risk, once the familiar turns strange, it is never quite the same again. Self-knowledge is like lost innocence; however unsettling you find it, it can never be 'unthought' or 'unknown'. What makes this enterprise difficult, but also riveting, is that Moral and Political Philosophy is a story, and you don't know where the story would lead, but you do know that the story is about You.”
Text taken from: “Justice: What's the Right Thing to Do?” Introduction Class ― Michael Sandel
Read the text below to answer question
“To read these books, in this way, as an exercise in self-knowledge, carries certain risks. Risks that are both personal and political. Risks that every student of Political Philosophy has known. These risks spring from the fact that philosophy teaches us, and unsettles us, by confronting us with what we already know. There is an irony: the difficulty of this course consists in the fact that it teaches what you already know. It works by taking what we know from familiar unquestioned settings, and making it strange. [...] Philosophy estranges us from the familiar, not by supplying new information, but by inviting and provoking a new way of seeing.
But, and here is the risk, once the familiar turns strange, it is never quite the same again. Self-knowledge is like lost innocence; however unsettling you find it, it can never be 'unthought' or 'unknown'. What makes this enterprise difficult, but also riveting, is that Moral and Political Philosophy is a story, and you don't know where the story would lead, but you do know that the story is about You.”
Text taken from: “Justice: What's the Right Thing to Do?” Introduction Class ― Michael Sandel
Read the text below to answer question
“To read these books, in this way, as an exercise in self-knowledge, carries certain risks. Risks that are both personal and political. Risks that every student of Political Philosophy has known. These risks spring from the fact that philosophy teaches us, and unsettles us, by confronting us with what we already know. There is an irony: the difficulty of this course consists in the fact that it teaches what you already know. It works by taking what we know from familiar unquestioned settings, and making it strange. [...] Philosophy estranges us from the familiar, not by supplying new information, but by inviting and provoking a new way of seeing.
But, and here is the risk, once the familiar turns strange, it is never quite the same again. Self-knowledge is like lost innocence; however unsettling you find it, it can never be 'unthought' or 'unknown'. What makes this enterprise difficult, but also riveting, is that Moral and Political Philosophy is a story, and you don't know where the story would lead, but you do know that the story is about You.”
Text taken from: “Justice: What's the Right Thing to Do?” Introduction Class ― Michael Sandel
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