C would be the answer. When you simplify the equations C does not contain a radical.
1 = sin²0 + cos²0
sin²0 = 1 - cos²0
sin²0 = 1 - 11/36
sin²0 = 25/36
sin 0 = 5/6 or -5/6
In the first quadrant, the values for sin, cos and tan are positive.
sin0 = 5/6
Answer:
(x, y) = (4, 9)
Step-by-step explanation:
You can use the second equation to write an expression for y.
y = 10 - 1/4x . . . . subtract 1/4x from the given 2nd equation
Now, substitute that for y in the first equation:
1/2x + 1/3(10 -1/4x) = 5
1/2x + 10/3 -1/12x = 5 . . . . eliminate parentheses
You can work this a couple of ways from here. One is to multiply by 12 to eliminate fractions. Another is to work with the numbers as they are. We'll do that, because we don't get enough practice doing arithmetic with fractions.
5/12x = 5/3 . . . . . subtract 10/3
x = (5/3)/(5/12) = 12/3 = 4
From above, we can use our expression for y:
y = 10 - 1/4·4 = 9
The solution is (x, y) = (4, 9).
Find the slope from a graph
Locate two points on the line whose coordinates are integers.
Starting with the point on the left, sketch a right triangle, going from the first point to the second point.
Count the rise and the run on the legs of the triangle.
Take the ratio of rise to run to find the slope. m=riserun.
Answer with explanation:
Given : Number of men = 4
Number of women = 6
Total people = 
Total number of ways to make a committee of five people from 10 persons :-
a) Number of ways to make committee that has exactly four women :
The probability that committee has exactly four women :
b) Number of ways to make committee that has at-least four women :
The probability that committee at-least four women :
c) Number of ways that committee has more than 4 women :-
The probability that committee has more than 4 women :-
Now, the probability that committee has at most four women :-
