Answer:
sin α = 
Step-by-step explanation:
sin α =
=
= 
Answer:
10 grams in 200ml because for 100ml is 5 grams
Step-by-step explanation:
Answer:
190 possibilities.
Step-by-step explanation:
The problem is called 20 choose 2, given by the formula for combinations
C(20,2) = 20! / (2! (20-2)!) = 190
alternatively, we can reason it this way:
there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.
However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.
Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.
Answer:
The larger number is 69 and the smaller number is 35.
Step-by-step explanation:
Find the equations. Here x will be the larger number and y will be the smaller number.
x + y = 104
x = 2y -1
Substitute:
(2y -1) + y = 104
3y = 105
y = 35
x = 2(35) - 1
x = 70 - 1
x = 69
The larger number is 69 and the smaller number is 35.