Answer:
6 ways
Step-by-step explanation:
The total number of people we have entering Kennywood is 6, since it’s Jim with 5 of his friends.
Now, we can only have movement through the game one at a time
The number of ways they can move through the gate one at a time is 6C1 ways
and that is mathematically;
if we are to select a number of r items from a total of n, the number of combinations or ways is;
nCr = n!/(n-r)!r!
Applying these to the problem at hand, we have
6!/(6-1)!1! = 6!/(5!)(1!) = (6 * 5!)/5! = 6 ways
Graph the inequality by finding the boundary line, then shading the appropriate area.
y>2x-5
Answer:
12,215 ft³
Step-by-step explanation:
The formula for the volume of a cone is:
V = (1/3)(area of base)(height).
Here the height is 9 ft and the diameter of the (round) base is 12 ft.
First we need to determine the area of the base.
If the diameter is 12 ft, then the radius is half that, or r = 6 ft. The area of the base is then A = πr², which in this problem is A = π(6 ft)² = π (36 ft²). Using 3.14 to approximate π, we get A = 4071.5 ft², which we will round u p to A = 4012 ft².
As before, the volume of this statue is V = (1/3)(area of base)(height), which here comes out to:
V = (1/3)(4072 ft²)(9 ft) = 12,215 ft³ (where I have rounded up to the nearest unit).
Answer:
18.84 square centimeters
Step-by-step explanation:
P.S: Diameter is radius + radius so that means that diameter is 3 + 3 for this problem.
