Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
1)
Hyp =40
∠48
x = Adj
use CAH since it's got these pieces in it
Cos(48) = x / 40
40* Cos(48) = x
26.76522 = x
x = 26.8 ( rounded to nearest 10th)
2)
∠29
Hyp = 35
Opp = x
use SOH since this problem has those pieces in it
Sin(29) = x / 35
35*Sin(29) = x
16.9683 = x
x = 17.0 (rounded to nearest 10th)
3)
40 = Adj
∠16
Hyp = x
use CAH again
Cos(16) = 40 / x
x = 40 / Cos(16)
x = 41.611
x = 41.6 (rounded to nearest 10th )
4)
∠55
Opp = 35
x = Adj
use TOA
Tan(55) =35/x
x = 35/Tan(55)
x = 24.5072
X = 24.5 ( rounded to nearest 10th)
Answer:
A)6, 2, -2,-6
Step-by-step explanation:
a(n) = a +(n-1)d
a(n) = a +dn-d
a(n) = a-d + dn
a(n) = 10 - 4n
So d=-4
to get a: (a-d)=10
a=10-4=6
The first four terms:
a(1) = 6 +(1-1)-4=6
a(2) = 6 +(2-1)-4=2
a(3) = 6 +(3-1)-4=-2
a(4) = 6 +(4-1)-4=-6
it will be A
hope this helps
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160-4-8-12 =136
136 out of 160 participants did not win a prize, so the experimental probability is
136/160=17/20