Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P + Y M = 18 X P - M Z = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6 /* ( - 1 )X P - M Z = 4 X P + Y M = - 6 X P - M Z = 4 Y M - M Z = - 2 Y M + M Z = 14 2 Y M = 12 => Y M = 6M Z - 6 = 2 => M Z = 8X P + 6 = 18
X P = 12
Radii of the circles are: 12, 8 and 6.
Answer:
5 cm
Step-by-step explanation:
Since 1 inch is 2.5 cm, you'll haft to double that. Making the answer 5 cm.
Answer:
60 arrangements
Step-by-step explanation:
This is a permutation, since I am assuming that order matters. To solve this you start at the number of items you have and multiply that by 1 less than the max until number of items are used up.
5P3 = 5 * 4 * 3 = 60
Answer:
Zombie population = 8 * 2^(number of hours)
Zombie population (after 24 hours) = 8 * 2^(24)
equals 8 * 16,777,216 = 134,217,728
Step-by-step explanation:
You would be able to make about 120 shots
