ETEC - Teorema de Pitágoras, Notação Científica e Velocidade Média - Professora Angela

Hello Everyone!! Today we have another video from our SEGUNDETEC project. Here we have the resolution of two questions, one about mathematics involving Pythagoras' Theorem, Scientific Notation and Average Speed ​​and a Science question also about Average Speed ​​with the participation of Professor Renata from the Eu Adoro Ciência Channel, here is the link to Professor Renata's channel:    / @euadorociência  . Questions: (Mathematics - ETEC/SP - 2019/1) - The Death Star is an iconic weapon from the Star Wars film series. Spherical in shape, it was considered similar to a Moon. This weapon/space station could move through space at the speed of light, that is, 3.0 × 105 km/s. Assume that the Death Star needed to position itself in order to carry out a maximum efficiency attack on Planet C. Initially, the space station was at point A and, between it and Planet C, there was a large asteroid, so it needed to go to point B, in order to be able to perfectly visualize Planet C, as shown in the figure. Select the alternative that contains the time it took for the Death Star to move from point A to B. (A) 5.0 × 10^4 s (B) 15.0 × 10^4 s (C) 45.0 × 10^4 s (D) √353 × 10^4 s (E) √353/3× 10^4 s (Science - ETEC/SP 2014/1) - Some cities have implemented exclusive bus lanes in order to reduce urban travel times. Suppose that, before the existence of the lanes, a bus took 2 hours and 30 minutes to travel the entire route of its line, developing an average speed of 6 km/h. If the runners can ensure that the average speed of this trip increases to 20 km/h, the time for a bus to travel the entire route of this same line will be (A) 30 minutes. (B) 45 minutes. (C) 1 hour. (D) 1 hour and 15 minutes. (E) 1 hour and 30 minutes. SKILLS: Mathematics: EF08MA01: Perform calculations with powers of integer exponents and apply this knowledge to the representation of numbers in scientific notation. EF09MA13: Demonstrate metric relations of the right triangle, including Pythagoras' theorem, including the use of similarity of triangles. EF09MA07: Solve problems involving the ratio between two quantities of different types, such as speed and population density. Science: . Understand fundamental concepts and explanatory structures of Natural Sciences, as well as master processes, practices and procedures of scientific research, in order to feel confident in the debate of scientific, technological, socio-environmental and labor issues. Therefore, continue learning and collaborate to build a fair, democratic and inclusive society. . Analyze, understand and explain characteristics, phenomena and processes related to the natural, social and technological world (including the digital), as well as the relationships established between them. In other words, exercise curiosity to ask questions, seek answers and create solutions (including technological ones) based on knowledge of Natural Sciences. . Evaluate political, socio-environmental and cultural applications and implications of science and its technologies to propose alternatives to the challenges of the contemporary world, including those related to the labor world. I hope you enjoyed the video and learned from the examples. If you did, click like so that more people can view it and learn from it. Thank you and a big hug Professor Angela Mathematics Also watch the following videos here on the channel: BASIC MATHEMATICS:    • Matemática Básica   HIGH SCHOOL https://www.youtube.com/playlist?list... This video does not have advertising. Angela Pereira Correia - Professor Angela Mathematics