Answer:
116,280 different leadership structures are possible
Step-by-step explanation:
The order is important.
For example, a Committee of John, Elisa, Laura and Rose means that John is the chairperson, Elisa the vice-chairperson, Laura the secretary and Rose the treasurer. If we exchange John and Elisa, their roles are also exchanged. This means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
How many different leadership structures are possible
Permutations of 4 elements from a set of 20. So
116,280 different leadership structures are possible
Answer:
The two solutions for 
are 
and 
, respectively.
Step-by-step explanation:
The sine function is positive in the first and second quadrants, that is, 
. Then, there are two solutions for the given value by means of the following inverse trigonometrical function:
and
The two solutions for are and , respectively.
Answer:
19.5
Step-by-step explanation:
15+24=39
39 divided by 2
=19.5
If there is an even number of numbers locate the two middle numbers so that there is an equal number of values to the left and to the right of these two numbers. Step 3: If there is an odd number of numbers, this middle number is the median. If there is an even number of numbers add the two middles and divide by 2.
The rule for converting sin into cos and vice versa is:
sin α = cos ( 90° - α ) or cos α = sin ( 90° - α )
In this case:
cos ( 6 x ) = sin ( 90° - 6 x )
sin ( 90° - 6 x ) = sin ( 3 x - 9°)
90° - 6 x = 3 x - 9°
90° + 9° = 3 x + 6 x
99° = 9 x
x = 99° : 9 = 11°
Answer: C ) x = 11°
10 because she already knows 3 so then you divide 80 (number of words she hasn’t learned) by 8 (the number of weeks) and you get 10.
