Answer:
bearing of A from C is - 65.24°
the distance |BC| is 187.84 m
Step-by-step explanation:
given data
girl walks AB = 285 m (side c)
bearing angle B = 78°
girl walks AC = 307 m (side a)
solution
we use here the Cosine Law for getting side b that is
ac² = ab² + bc² - 2 × ab × cos(B) ...............1
307² = 285² + x² - 2 × 285 cos(78)
x = 187.84 m
and
now we get here angle θ , the bearing from A to C get by law of sines
sin (θ) =
sin (θ) = 0.5985
θ = 36.76°
and as we get here angle BAC that is
angle BCA = 180 - ( 36.76° + 78° )
angle BCA = 65.24°
and here negative bearing of A from C so - 65.24°
We will use Binomial Distribution in this case.
Since the coin is tossed 15 times. N which is the number of trails will be 15.
P = Probability of heads
Q = Probability of tails
X = No. heads occurring in each toss.
So, now we have to find the probability for exactly 10 heads.
P(x = 10) = C(15, 10) P^x Q^N-x
C(15, 10) (1/2)^10 (1/2)^5 = 0.0916
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Answer:
the answer would be -12
Step-by-step explanation:
32- 20=12
The change to the amount of money he has is -$12 because
she has $12 less than she started with
Answer:
um I think that the value of x is 41 try it but i'm not really sure...
Step-by-step explanation:
D + e = 12
-d + e = -8
---------------
2e = 4
e = 2
d + e = 12
d + 2 = 12
d = 10
Answer: (10,2)