Answer:
£289.20
Step-by-step explanation:
13:2 = x:16 or 13/2 = x/16
cross multiply: 208 = 2x
simplify: x = 104
16 blue tiles x £2.80 each = £44.80
104 white tiles x £2.35 each = £244.40
44.80 + 244.40 = £289.20
The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial
a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.
b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.
Try this solution (see the attachment).
We are given
total length of cable is 30 feet
and this cable is on hypotenuse sides of the triangles
so, we can draw triangle as
Let's assume those hypotenuse as 'a' and 'b'
so, we will have
now, we can find 'a' and 'b' from triangle
Smaller triangle:
Larger triangle:
we know that
so, we can plug this value
and we get
now, we can solve for x
now, we can use quadratic formula
we get
so,
The point should be located 4.510 feet , 9.627 feet from the smaller pole to use 30 feet cable............Answer
