Step-by-step explanation:
X = 50
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Answer:
cos(a + b) = 
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) = 
cos(b) = 
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) =
[Since, sin(a) =
]
= 
= 
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) =
= 
= 
By substituting these values in the identity,
cos(a + b) = 
= 
= 
= 
Therefore, cos(a + b) = 
Answer:
Both triangles are right triangles because the angle d is 90 degrees in both sides
3 ^ 2 - 2.25^2 = 1.98
4^2 - 1.98^2 = 3.48
x = 3.48
Answer:
The third one
Step-by-step explanation:
consider the following image

Use rise over run to find slope. If you don't know what that is, its y2-y1/x2-x1. Y2 is 125, Y1 is 25, X2 is 5, and X1 is 1. You then plug the numbers in, 125-25=100. 5-1=4. then you divide 100/4, in which you get 25. So you times 25 by 3, getting 75.