Questões Militares Para aluno do ime

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Q527903 Matemática
O valor de y = sen700 cos500 + sen2600 cos2800 é:
Alternativas
Q527902 Matemática
Os triângulos ABC e DEF são equiláteros com lados iguais a m. A área da figura FHCG é igual à metade da área da figura ABHFG. Determine a equação da elipse de centro na origem e eixos formados pelos segmentos FC e GH.



Imagem associada para resolução da questão   


Alternativas
Q527901 Matemática
Uma pirâmide regular possui como base um dodecágono de aresta a. As faces laterais fazem um ângulo de 15° com o plano da base. Determine o volume desta pirâmide em função de a.
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Q527900 Matemática
As raízes cúbicas da unidade, no conjunto dos números complexos, são representadas por 1, w e w2, onde w é um número complexo. O intervalo que contém o valor de (1 - w )6 é:

Alternativas
Q527899 Matemática
Em um aeroporto existem 12 vagas numeradas de 1 a 12, conforme a figura. Um piloto estacionou sua aeronave em uma vaga que não se encontrava nas extremidades, isto é, distintas da vaga 1 e da vaga 12. Após estacionar, o piloto observou que exatamente 8 das 12 vagas estavam ocupadas, incluindo a vaga na qual sua aeronave estacionou. Determine a probabilidade de que ambas as vagas vizinhas a sua aeronave estejam vazias.



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Alternativas
Q527898 Matemática
Seja arcsenx + arcseny + arcsenz = 3π/2 , onde x,y e z são números reais pertencentes ao intervalo[ - 1, 1]. Determine o valor de x100 + y100 + z100 - 9/x101+ y101 + z101.
Alternativas
Q527897 Matemática

São dados os pontos P0 e P1 distantes 1 cm entre si. A partir destes dois pontos são obtidos os demais pontos Pn , para todo n inteiro maior do que um, de forma que:

• o segmento Pn P(n - 1) e 1 cm maior do que o segmento P(n _ 1) P(n - 2); e

• o segmento Pn P(n - 1) e perpendicular a P0P(n - 1) .

Determine o comprimento do segmento P0 P24 .

Alternativas
Q527896 Matemática

São dadas as matrizes quadradas inversíveis A, B e C, de ordem 3. Sabe-se que o determinante de C vale (4 - x), onde x e um numero real, o determinante da matriz inversa de B vale - 1/3 e que(CAt)t = P-1BP, onde P e uma matriz inversível. Sabendo que A =Imagem associada para resolução da questão , determine os possíveis valores de x.

Obs.: (M)t e a matriz transposta de M.

Alternativas
Q504248 Inglês
Para a questão, marque a alternativa CORRETA.
Alternativas
Q504247 Inglês
Born on October 23, 1940, in Três Corações, Brazil, soccer legend Pelé became a superstar with his performance in the 1958 World Cup. Pelé played professionally in Brazil for two decades, (35)__________ three World Cups along the way, before joining the New York Cosmos late in his career. Named FIFA co-Player of the Century in 1999, he is a global ambassador for soccer and other (36)____________ causes.
The world was officially introduced to Pelé in the 1958 World Cup in Sweden. Displaying (37)_____________ speed, athleticism and field vision, the 17-year-old erupted to score three goals in a 5-2 semifinal win over France, then netted two more in the finals, a 5-2 win over the host country.
Retirement did little to diminish the public profile of Pelé, who (38)______________ a popular pitchman and active in many professional arenas.
In 1978, Pelé was awarded the International Peace Award for his work with UNICEF. He has also served (39) __________ Brazil's Extraordinary Minister for Sport and a United Nations ambassador for ecology and the environment.

                                                            imagem-008.jpg


Para a questão, escolha a alternativa que complete a sentença CORRETAMENTE
Alternativas
Q504246 Inglês
Born on October 23, 1940, in Três Corações, Brazil, soccer legend Pelé became a superstar with his performance in the 1958 World Cup. Pelé played professionally in Brazil for two decades, (35)__________ three World Cups along the way, before joining the New York Cosmos late in his career. Named FIFA co-Player of the Century in 1999, he is a global ambassador for soccer and other (36)____________ causes.
The world was officially introduced to Pelé in the 1958 World Cup in Sweden. Displaying (37)_____________ speed, athleticism and field vision, the 17-year-old erupted to score three goals in a 5-2 semifinal win over France, then netted two more in the finals, a 5-2 win over the host country.
Retirement did little to diminish the public profile of Pelé, who (38)______________ a popular pitchman and active in many professional arenas.
In 1978, Pelé was awarded the International Peace Award for his work with UNICEF. He has also served (39) __________ Brazil's Extraordinary Minister for Sport and a United Nations ambassador for ecology and the environment.

                                                            imagem-008.jpg


Para a questão, escolha a alternativa que complete a sentença CORRETAMENTE
Alternativas
Q504245 Inglês
Born on October 23, 1940, in Três Corações, Brazil, soccer legend Pelé became a superstar with his performance in the 1958 World Cup. Pelé played professionally in Brazil for two decades, (35)__________ three World Cups along the way, before joining the New York Cosmos late in his career. Named FIFA co-Player of the Century in 1999, he is a global ambassador for soccer and other (36)____________ causes.
The world was officially introduced to Pelé in the 1958 World Cup in Sweden. Displaying (37)_____________ speed, athleticism and field vision, the 17-year-old erupted to score three goals in a 5-2 semifinal win over France, then netted two more in the finals, a 5-2 win over the host country.
Retirement did little to diminish the public profile of Pelé, who (38)______________ a popular pitchman and active in many professional arenas.
In 1978, Pelé was awarded the International Peace Award for his work with UNICEF. He has also served (39) __________ Brazil's Extraordinary Minister for Sport and a United Nations ambassador for ecology and the environment.

                                                            imagem-008.jpg


Para a questão, escolha a alternativa que complete a sentença CORRETAMENTE
Alternativas
Q504244 Inglês
Born on October 23, 1940, in Três Corações, Brazil, soccer legend Pelé became a superstar with his performance in the 1958 World Cup. Pelé played professionally in Brazil for two decades, (35)__________ three World Cups along the way, before joining the New York Cosmos late in his career. Named FIFA co-Player of the Century in 1999, he is a global ambassador for soccer and other (36)____________ causes.
The world was officially introduced to Pelé in the 1958 World Cup in Sweden. Displaying (37)_____________ speed, athleticism and field vision, the 17-year-old erupted to score three goals in a 5-2 semifinal win over France, then netted two more in the finals, a 5-2 win over the host country.
Retirement did little to diminish the public profile of Pelé, who (38)______________ a popular pitchman and active in many professional arenas.
In 1978, Pelé was awarded the International Peace Award for his work with UNICEF. He has also served (39) __________ Brazil's Extraordinary Minister for Sport and a United Nations ambassador for ecology and the environment.

                                                            imagem-008.jpg


Para a questão, escolha a alternativa que complete a sentença CORRETAMENTE
Alternativas
Q504243 Inglês
Born on October 23, 1940, in Três Corações, Brazil, soccer legend Pelé became a superstar with his performance in the 1958 World Cup. Pelé played professionally in Brazil for two decades, (35)__________ three World Cups along the way, before joining the New York Cosmos late in his career. Named FIFA co-Player of the Century in 1999, he is a global ambassador for soccer and other (36)____________ causes.
The world was officially introduced to Pelé in the 1958 World Cup in Sweden. Displaying (37)_____________ speed, athleticism and field vision, the 17-year-old erupted to score three goals in a 5-2 semifinal win over France, then netted two more in the finals, a 5-2 win over the host country.
Retirement did little to diminish the public profile of Pelé, who (38)______________ a popular pitchman and active in many professional arenas.
In 1978, Pelé was awarded the International Peace Award for his work with UNICEF. He has also served (39) __________ Brazil's Extraordinary Minister for Sport and a United Nations ambassador for ecology and the environment.

                                                            imagem-008.jpg


Para a questão, escolha a alternativa que complete a sentença CORRETAMENTE.
Alternativas
Q504240 Inglês
Russian Sports Minister says he ___________ by the slow pace of designing the country’s stadiums for the 2018 World Cup and threatened heads will roll if the situation is not rectified.
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Q504239 Inglês
The player was about to take corner when he _______________ at him.
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Q504238 Inglês
___________ the Fifa president and vice president will be in Brazil for the World Soccer Cup.
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Q504237 Inglês
There are many forms of prejudice and oppression, __________ based on race, but on gender, class, sexual orientation, etc.
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Q504236 Inglês
On average, women continue to earn considerably less than men. In 2012, female full-time workers made only 77 cents for every dollar earned by men, a gender wage gap ____ 23 percent.
Alternativas
Q504235 Inglês
“I have a dream that one day, on the red hills of Georgia, the sons of former slaves and the sons of former slave owners _________________ sit down together at the table of brotherhood.” (Martin Luther King)
Alternativas
Respostas
521: D
522: D
523: A
524: B
525: E
526: C
527: C
528: D
529: A
530: C
531: E
532: D
533: D
534: A
535: B
536: E
537: D
538: B
539: D
540: B