<h3>
Answer: Choice D) 31.2 miles</h3>
This value is approximate.
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Explanation:
Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.
Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.
Based on those two interior angles, angle C must be...
A+B+C = 180
107+42+C = 180
149+C = 180
C = 180-149
C = 31
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To sum things up so far, we have these known properties of triangle ABC
- angle A = 107 degrees
- side c = side AB = 24 miles
- angle B = 42 degrees
- angle C = 31 degrees
Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).
b/sin(B) = c/sin(C)
b/sin(42) = 24/sin(31)
b = sin(42)*24/sin(31)
b = 31.1804803080182 which is approximate
b = 31.2 miles is the distance from the storm to station A
Make sure your calculator is in degree mode.
Answer:
The answer to your question is csc Ф = 
Step-by-step explanation:
Process
1.- Determine the sign
We must determine csc Ф in the forth quadrangle, here csc is negative.
2.- Determine the hypotenuse
c² = a² + b²
c² = 3² + (-4)²
c² = 9 + 16
c² = 25
c = 5
3.- Determine csc Ф
csc Ф = 
csc Ф =
= 
Answer:
Step-by-step explanation:
This is a duplicate of one I have done for you
BF = 3*HF
BF = 3*6
BF = 18
Answer:
50
Step-by-step explanation:
must use PEMDAS (order of operations)
step 1: multiply 7 and 6
8 + 42 / 3 x 3
step 2: divide 42 by 3
8 + 14 x 3
step 3: multiply 14 and 3
8 + 42
Add to get 50
Answer:
The integral diverges
Step-by-step explanation:
Consider the integral from 0 to infinity of

We can do this in parts

When we substitute limits infinity we find that the values become infinity
Hence the integral diverges
The given improper integral diverges