Answer:
Step-by-step explanation:
3. Find LCM of (30, 9):
30 = 2 x 3 x 5
9 = 3 x 3
Thus : LCM(30, 9) = 2 x 3 x 3 x 5 = 90
Therefore, in 90 days he will has both activities again.
4. Determine whether its possible to construct a triangle with the given length.
a.
8 + 9 > 11 (true)
8 + 11 > 9 (true)
9 + 11 > 8 (true)
Thus 8,9 and 11 can be construct as a triangle.
b.
4 + 5.1 > 12.5 (false)
4 + 12.5 > 5 (true)
12.5 + 5 > 4 (true)
Thus, 4, 5.1 and 12.5 cannot be constructed as a triangle.