Answer:
435 ft
Step-by-step explanation:
Reference angle = <P = 49° (angle of elevation)
Opposite side = 500 ft
Adjacent side = d = ?
Apply trigonometric function, TOA.
This:
Tan P = opp/adj
Tan 49 = 500/d
d × Tan 49 = 500
d = 500/Tan 49
d = 434.643369 ≈ 435 ft (to the nearest foot)
-5m-20-80+50m=0
45m=100
m= 20/9
1.) Number of Total Shirts = 220
In Figure 1, Red boxes represent "<span>short sleeve shirts" which is 7 in number whereas Blue boxes represent "long sleeve shirts".
1 box contains = 220/10 = 22 shirts
Number of short sleeves = 22 * 7 = 154
<span>
In short, Your Final Answer would be: 154 </span></span>2.) Number of Total Subscribers = 260
In Figure 1, Red boxes represent "<span>regular subscribers" which is 10 in number whereas Blue boxes represent "premium subscribers".
1 box contains = 260/13 = 20 subscribers.
Regular subscribers = 20 * 10 = 200
<span>
In short, Your Final Answer would be: 200</span></span>
3.) Number of Total People = 360
In Figure 1, Red boxes represent "<span>Males" which is 3 in number whereas Blue boxes represent "females".
1 box contains = 360/12 = 30 people
Number of males: = 30 * 3 = 90
<span>
In short, Your Final Answer would be: 90
Hope this helps!</span></span>
F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =
[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.
g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =
[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.
So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.