The answer key to the June 2016 math patent topic.
Exercise 1:
- 2.
- Plant A:
Plant B:
Only plant A has a satisfactory control?
Exercise 2:
- Program A :
- Program B:
- Program A = Program B
Exercise 3:
Figure 1: ABC is a right triangle and .
Figure 2: ABC is a right triangle and
so
Figure 3:
Exercise 4:
- €
- a.
b.
3.
€
Exercise 5:
It will take 2 bags or €
Property: (AS) // (RC) because two lines perpendicular to a third are parallel to each other.
2. We know that
according to the direct part of Thales’ theorem, we have :
so
Exercise 6:
Part 1:
- Piece 1 = 8 cm and piece 2 = 12 cm.a square of side 8:4=2cm and an equilateral triangle of side 12 : 3 = 4 cm.
- with AH the height of the equilateral triangle.
We obtain .
Part 2:
- Let x : the length of the piece 1.
2. a.
b.
Exercise 7:
Yes, he can add a liter of colored water without risking an overflow.
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