<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:
Parabola with vertex at point (1,0) that goes to the right (see attached diagram).
Step-by-step explanation:
Let the complex number z be
then
and
Thus,
Square it:
This is the equation of parabola with vertex at point (1,0) that goes to the right.
Answer:
From left to right, -3/2, -4/5, -3/10, 1/2, 7/8, 4/3
Step-by-step explanation
So what we're trying to do here is to order the numbers from greatest to least.
Let's start off with the negative numbers.
-3/10, -4/5, -3/2.
Now what we want to do is give them all a common denominator to figure out which one is the least of that group.
-3/10,-8/10,-15/10.
Now on to the positive numbers.
1/2, 4/3, 7/8
Turn the denominator into 24.
12/24, 32/24, 21/24
Then put them all in order.
Answer:
The answer is 52
Step-by-step explanation:
