Questões: Instituto Federal de Educação, Ciência e Tecnologia Fluminense (IFF) — com gabarito

Maria estava brincando com um pequeno espelho que achou em casa. Ela ficou admirada com as imagens geradas pelo espelho e decidiu pesquisar um pouco sobre o espelho na internet. Durante a pesquisa, ela descobriu que o espelho com o qual estava brincando era um espelho côncavo e que as imagens formadas podem ser classificadas em reais ou virtuais, direitas ou invertidas; e, em relação ao tamanho, maiores, menores ou iguais. Ela, então, colocou um objeto bem próximo ao espelho, entre o espelho e o foco do mesmo.

Nessa situação, como a imagem formada pelo espelho é classificada?

Uma rede de pizzaria utiliza embalagens de papelão para fazer suas entregas em domicílio, como o modelo da figura a seguir. Na hora de comprar as embalagens pela internet, o proprietário observou que a maior embalagem correspondia a um prisma octogonal regular de altura 5 cm e com aresta da base medindo 35 cm.

Considere: sen (22,5)° = 0,383, cos (22,5)° = 0,924, tg (22,5)°= 0,414 e π = 3,14.

Imagem disponível em: < http://produto.mercadolivre.com.br/MLB-749342112-caixa-de-pizza-caixa-de-papelopizzas-pizzaria-35cm-_JM> Acesso em: 30 abr 2017.

Uma rede de pizzaria utiliza embalagens de papelão para fazer suas entregas em domicílio, como o modelo da figura a seguir. Na hora de comprar as embalagens pela internet, o proprietário observou que a maior embalagem correspondia a um prisma octogonal regular de altura 5 cm e com aresta da base medindo 35 cm.

Considere: sen (22,5)° = 0,383, cos (22,5)° = 0,924, tg (22,5)°= 0,414 e π = 3,14.

Imagem disponível em: < http://produto.mercadolivre.com.br/MLB-749342112-caixa-de-pizza-caixa-de-papelopizzas-pizzaria-35cm-_JM> Acesso em: 30 abr 2017.

O volume da embalagem equivale a aproximadamente:

Observe como tirinhas a seguir.

Ao receber o encarte de propaganda de uma loja de roupas, Paula se interessou pelas peças apresentadas na imagem a seguir. 

Imagem adaptada de: <http://br.melinterest.com/?r=site/search&seller_id=158615268&seller_nickname=RENATOSFIRMINO>.

Acesso em: 30 abr 2017. 

Considerando o valor que Paula tem na sua carteira e sabendo que:

i) Bolsa + sapato = R$ 119,70 e

ii) Sapato + vestido = R$ 192,70 ,

ao comprar o vestido juntamente com a bolsa, ela receberá de troco o valor de

Ao receber o encarte de propaganda de uma loja de roupas, Paula se interessou pelas peças apresentadas na imagem a seguir. 

Imagem adaptada de: <http://br.melinterest.com/?r=site/search&seller_id=158615268&seller_nickname=RENATOSFIRMINO>.

Acesso em: 30 abr 2017. 

Texto 2

THE NEXT ERA OF DRONES WILL BE DEFINED BY ‘SWARMS’

[ …]

Drones are becoming smaller, cheaper to make, can zoom around on their own, and gather in groups of hundreds, even thousands, to fly like a flock of birds. They’re called swarms – get enough of them together, and they could save your life, or they could be a deadly collaborative force on the battlefield.

[ …]

Plus there is no leader (1) or commander in a swarm; the swarm is a self-organising system in which allows drones to fly together without colliding. And only one operator (2) is needed to control the whole swarm.

Swarms are tough. One missile can bring down an aircraft, but a swarm can lose dozens of members and keep going. Air defences with a limited (3) supply (4) of missiles can be overwhelmed by enough opponents.

But drones will soon be swarming in many other situations too, from rock concerts to barnyards. In fact, you probably already have seen swarms of drones in everyday life. Chinese company eHang claimed the record for the biggest swarm, in a spectacular New Year show in which 1,000 drones formed a map of China and the Chinese character for 'blessings' (5). 

Drone swarms may even have a place on the farm. They can spot plant disease and help manage water use, or spray pesticides and herbicides only in the exact spot needed, all working cooperatively to cover the area and fill in gaps.

So, what does the future hold for swarming (6) drones? Swarming drone technology is still very much in their infancy. But it’s evolving fast. In fact, they could one day live alongside us.

Fonte: adapted from: <http://www.bbc.com/future/story/20170425-were-entering-the-next-era-of-drones>.

Acesso em: 02 maio 2017.  

Texto 1

BRAZILIAN TEEN WITH CANCER CELEBRATES TURBAN ON SOCIAL MEDIA

By plus55 on Feb 13, 2017

Thauane Cordeiro never thought she’d face accusations of cultural appropriation after posting a selfie with a turban. Diagnosed with cancer, the treatments left this Brazilian teen bald. So she styles up her baldness with colorful turbans when she heads out of the house. However, after one picture of herself wearing a turban on Facebook, she faced unexpected backlash.

While most turban-wearers in Brazil are black, Cordeiro is white. But instead of letting her haters put her down, Cordeiro explained just why she wore a turban that day. And it wasn’t about stealing black culture.

Here’s a translation of her post: Turban love

I’ll explain what happened yesterday so you know why I’m so angry with this whole cultural appropriation thing. I was at the station with this pretty turban, feeling like a diva. And I started to notice that there were a lot of black women around, beautiful by the way, who were looking at me funny, like “look over there the little white girl appropriating our culture”. Anyway, one of them came over to tell me I shouldn’t use a turban because I’m white. I took off the turban and said “are you seeing this bald head, this is called cancer, so I use what I want! Bye.” I grabbed my turban and walked off leaving her in shock. #EverybodyWearsTurbans

The post went up last week and already has 104,000 likes and 30,000 shares.

Fonte: <http://plus55.com/brazil-culture/2017/02/brazilian-teen-cancer-turba>. Acesso em: 15 abr 2017. 

Texto 1

BRAZILIAN TEEN WITH CANCER CELEBRATES TURBAN ON SOCIAL MEDIA

By plus55 on Feb 13, 2017

Thauane Cordeiro never thought she’d face accusations of cultural appropriation after posting a selfie with a turban. Diagnosed with cancer, the treatments left this Brazilian teen bald. So she styles up her baldness with colorful turbans when she heads out of the house. However, after one picture of herself wearing a turban on Facebook, she faced unexpected backlash.

While most turban-wearers in Brazil are black, Cordeiro is white. But instead of letting her haters put her down, Cordeiro explained just why she wore a turban that day. And it wasn’t about stealing black culture.

Here’s a translation of her post: Turban love

I’ll explain what happened yesterday so you know why I’m so angry with this whole cultural appropriation thing. I was at the station with this pretty turban, feeling like a diva. And I started to notice that there were a lot of black women around, beautiful by the way, who were looking at me funny, like “look over there the little white girl appropriating our culture”. Anyway, one of them came over to tell me I shouldn’t use a turban because I’m white. I took off the turban and said “are you seeing this bald head, this is called cancer, so I use what I want! Bye.” I grabbed my turban and walked off leaving her in shock. #EverybodyWearsTurbans

The post went up last week and already has 104,000 likes and 30,000 shares.

Fonte: <http://plus55.com/brazil-culture/2017/02/brazilian-teen-cancer-turba>. Acesso em: 15 abr 2017. 

Texto 1

BRAZILIAN TEEN WITH CANCER CELEBRATES TURBAN ON SOCIAL MEDIA

By plus55 on Feb 13, 2017

Thauane Cordeiro never thought she’d face accusations of cultural appropriation after posting a selfie with a turban. Diagnosed with cancer, the treatments left this Brazilian teen bald. So she styles up her baldness with colorful turbans when she heads out of the house. However, after one picture of herself wearing a turban on Facebook, she faced unexpected backlash.

While most turban-wearers in Brazil are black, Cordeiro is white. But instead of letting her haters put her down, Cordeiro explained just why she wore a turban that day. And it wasn’t about stealing black culture.

Here’s a translation of her post: Turban love

I’ll explain what happened yesterday so you know why I’m so angry with this whole cultural appropriation thing. I was at the station with this pretty turban, feeling like a diva. And I started to notice that there were a lot of black women around, beautiful by the way, who were looking at me funny, like “look over there the little white girl appropriating our culture”. Anyway, one of them came over to tell me I shouldn’t use a turban because I’m white. I took off the turban and said “are you seeing this bald head, this is called cancer, so I use what I want! Bye.” I grabbed my turban and walked off leaving her in shock. #EverybodyWearsTurbans

The post went up last week and already has 104,000 likes and 30,000 shares.

Fonte: <http://plus55.com/brazil-culture/2017/02/brazilian-teen-cancer-turba>. Acesso em: 15 abr 2017.