X - 1/5=1/2 what's x?
Given a cube with a volume of 18 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?
The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an is the number of teams competing and n is the round. There are 16 teams remaining in round 4 and 4 teams in round 6. The explicit rule for the geometric sequence is:
We are given the following in the question:
The numbers of teams remaining in each round follows a geometric sequence.
Let a be the first the of the geometric sequence and r be the common ration.
The term of geometric sequence is given by:
Dividing the two equations, we get,
the first term can be calculated as:
Thus, the required geometric sequence is
The formula for the volume of a cube is s to the third power, where s is the side length of a cube. What is the volume of a cube with a side length of 5 cm? A) 5 cm (to the 3rd power)
B) 15 cm (to the 3rd power)
C) 25 cm (to the 3rd power)
D) 125 cm (to the 3rd power)