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M05 FUVEST 𝘚𝘦𝘨𝘶𝘯𝘥𝘢 𝘍𝘢𝘴𝘦 Matemática 2023 (inequações e trigonometria)
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*1 Tópicos teóricos abordados*
• Desigualdade
• Tangente
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*2 Enunciado*
Segundo as normas da NBR 9077, uma escada deve ter todos os degraus com a mesma altura e a mesma largura. Além disso, indicando por 𝐿 a largura de um degrau e por 𝐴 a sua altura, ambas em centímetros, as seguintes desigualdades devem ser satisfeitas:
63 ≤ 2𝐴 + 𝐿 ≤ 64
16 ≤ 𝐴 ≤ 18
a) Se 𝐴 = 16, quais são os possíveis valores de 𝐿?
b) A altura do primeiro andar de um sobrado é 2,52 metros,
medido de um pavimento ao outro. O arquiteto projetou a
escada para ter o maior comprimento (soma das larguras dos
degraus) possível, respeitando as normas citadas. Dessa forma,
quantos degraus terá a escada e qual é a altura e largura de cada um?
c) Quais são o maior e o menor valor possível para a tangente do
ângulo de inclinação de uma escada construída de acordo com essa norma?
_Caso você tenha resolvido o problema por um caminho alternativo, não deixe de comentá-lo para assim enriquecermos a discussão_
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*3 Sugestão de problemas*
Envie uma sugestão de problema e eu a resolverei em vídeo – https://bit.ly/QED_forms
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*4 Equipamentos utilizados*
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4.2 Lousa digital – https://xournalpp.github.io/
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4.4 Teclado sem fio slim 75% – https://amzn.to/3X6w8E1
4.5 Microfone – https://amzn.to/3ZdN0ZN
4.6 Headset – https://amzn.to/3Z6C9RP
*5 Livros sobre finanças*
5.1 Décio Bazzin: https://amzn.to/3LiRZCW
5.2 Luiz Barsi Filho: https://amzn.to/3ndbYLo
5.3 Ludwig von Mises: https://amzn.to/3OE5jVe
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*Informações do vídeo*
*Música* – Erik Satie Gymnopedies
Thumb: https://whvn.cc/kxlkp1
0:00 item a)
1:04 item b)
4:31 item c)
#matemática #fuvest
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