First let's find the angles a and b.
We have then:
sin a = 4/5
a = Asin (4/5)
a = 53.13 degrees.
cos b = 5/13
b = Acos5 / 13
b = 67.38 degrees.
We now calculate cos (a + b). To do this, we replace the previously found values:
cos ((53.13) + (67.38)) = - 0.507688738
Answer:
-0.507688738
Note: there is another way to solve the problem using trigonometric identities.
D is the correct answer.
0.25 is rational because it can be represented as a ratio of integers (1/4).
0.45 is rational because it can also be represented as a ratio of integers (9/20).
When you multiply rational numbers, you always end up with a rational number.
0.25*0.45=0.1125 or 1125/10000
Answer:
the midpoint would be:(0,5)
Step-by-step explanation:
1.5(17.25) = 25.88 --- this is ur overtime pay per hr
17.25(40) + 25.88(4) = 690 + 103.52 = 793.52...nice weekly pay :)
Given:
∠A = 66°
AB = 5 mi
To find:
The distance from point B to point C.
Solution:
Using trigonometric ratio formula:




Multiply by 5 on both sides.

(nearest tenth)
The distance from point B to point C is 11.2 mi.