Answer:
The hat picking can be done in 36 different ways for the whole team.
Step-by-step explanation:
For each player, the order in which they pick the hats is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
For each player:
2 hats from a set of 3. So
12 players:
So in total, there are 12*3 = 36 different ways.
The hat picking can be done in 36 different ways for the whole team.
B)16
add the two equations and equal it to 90 and solve to get 16
Sorry i cant see the picture so well
Answer:
Part 1) 0.669
Part 2) x=23.78 cm
Step-by-step explanation:
Part 1) we have
cos(48°)
Using a calculator
cos(48°)=0.66913
Round to the nearest thousandth
0.66913=0.669
Part 2) we know that
In the right triangle of the figure
The cosine of angle of 18 degrees is equal to divide the adjacent side to the angle of 18 degrees by the hypotenuse of the right triangle
so
cos(18°)=x/25
x=(25)cos(18°)=23.78 cm