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°
Answer:
3
Step-by-step explanation:
Csc²x - 1
1/sin²x - 1
1/sin²x - sin²x / sin²x
(1 - sin²x) / sin²x
Recall that sin²x + cos²x = 1
So cos²x = 1 - sin²x
So we can replace numerator to cos²x
cos²x / sin²x
= cot²x
Final answer: cot²x
10% = 50
30% = 150
1% = 0.5
2% = 1
150 + 1 = 151 books should be mysteries
The number 2.5 in this function represents the average number of people each person challenged. Then the correct option is D.
<h3>What is an exponent?</h3>
Let a be the initial value and x be the power of the exponent function and b be the increasing factor. The exponent is given as
y = a(b)ˣ
The number of people participating in a challenge is an example of exponential growth and might be modeled by a function such as
y = 2 × (2.5)ˣ
The number 2.5 in this function represents the average number of people each person challenged.
Then the correct option is D.
More about the exponent link is given below.
brainly.com/question/5497425
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