32 players = 16 matches ( 32/2)
16 players = 8 matches ( 16/2)
8 players = 4 matches (8/2)
4 players = 2 matches ( 4/2)
2 players = 1 match
16 + 8 +4 +2 +1 = 31 matches
Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r =
= 6
Answer:

Step-by-step explanation:

DE :
If y is a solution of given DE then it satisfied the DE.
Differentiate w.r.t t

Using the formula

LHS:
RHS

By using the formula

LHS=RHs
Hence, y is a solution of given DE

Angles 1 and 2 are supplementary angels because they form a line.
Angles 1 and 2 are adjacent angles because they share an interior ray and they have a common vertex.