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Discipline: Math

Question topic: Transformations in the Plane

Source: Originais Teachy

Level of difficulty: Medium

(Originais Teachy 2023) - Question Medium of Math

In contemporary art, an artist decides to create an installation in an open space, where the main piece is a geometric sculpture consisting of a solid cube. The artist wants to replicate this cube through a series of translations, so that each replica is 2 meters north and 3 meters east of the previous cube, forming a linear pattern. If the artist wants the last sculpture to be exactly 20 meters north and 30 meters east of the original sculpture, how many translations does the artist need to make and what will be the distance traveled by the last sculpture in relation to the original cube?
a.
The artist needs to make 10 translations and the distance traveled by the last sculpture in relation to the original cube will be 36.06 meters.
b.
The artist needs to make 8 translations and the distance traveled by the last sculpture in relation to the original cube will be 28.28 meters.
c.
The artist needs to make 12 translations and the distance traveled by the last sculpture in relation to the original cube will be 42.43 meters.
d.
The artist needs to make 10 translations and the distance traveled by the last sculpture in relation to the original cube will be 40 meters.
e.
The artist needs to make 9 translations and the distance traveled by the last sculpture in relation to the original cube will be 32.14 meters.

Answer:

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Transformations in the Plane
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