Answer:
204/325
Step-by-step explanation:
You can work this a couple of ways. We expect you are probably expected to use trig identities.
cos(A) = √(1 -sin²(A)) = 24/25
sin(B) = √(1 -cos²(B)) = 12/13
cos(A -B) = cos(A)cos(B) +sin(A)sin(B) = (24/25)(5/13) +(7/25)(12/13)
= (24·5 +7·12)/325
cos(A -B) = 204/325
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The other way to work this is using inverse trig functions. It is necessary to carry the full calculator precision if you want an exact answer.
cos(A -B) = cos(arcsin(7/25) -arccos(5/13)) = cos(16.2602° -67.3801°)
= cos(-51.1199°) ≈ 0.62769230 . . . . (last 6 digits repeating)
The denominators of 25 and 13 suggest that the desired fraction will have a denominator of 25·13 = 325, so we can multiply this value by 325 to see what we get.
325·cos(A-B) = 204
so, the exact value is ...
cos(A -B) = 204/325
Answer:
I think you wanna know exactly it's graph
See f(x)= 2 e^x +3
e^x is exponential function which is always positive and so lies above x axis
Multiply by 2 make it's incrementation in slope and now it will pass through (0,2)
Also adding 3 shifts graph 3 unit above y axis
So Now it will pass through (0, 2+3) that is B) (0,5)
Now At x approaches to minus infinity it will shift 3 unit up from 0 to 3 So it will pass through (-infinity,3)
Now see the pic
When x=3, y=9 and when x=6, y=3 bc u plug them into the equation
Answer:
Choice C
Step-by-step explanation:
4x+80=180 degrees
summation of all angles in a triangle is 180°
Answer:
A. x=6
Step-by-step explanation:
x=√10²-8²=√100-64=√36=6
