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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:
Which activities in the classroom do you enjoy the most? ...
Given a chance, what is one change that you would like to see? ...
Do you have supportive classmates? ...
What motivates you to learn more? ...
Do you think that the school provides you with adequate sports facilities?
How much time do you spend on homework every night?
Which classroom activities do you learn from the most?
What are three things that can improve the class most?
Answer: Hong drove the truck for 294 miles.
Step-by-step explanation:
Let m represent the number of miles for which he drove the truck.
There was a base fee of $20.95, and there was an additional charge of 90 cents for each mile driven. It means that the expression for the cost of driving the truck for m miles in a day is
20.95 + 0.9m
Hong had to pay $285.55 when he returned the truck. It means that
20.95 + 0.9m = 285.55
0.9m = 285.55 - 20.95
0.9m = 264.6
m = 264.6/0.9
m = 294 miles
Answer:
she mad 52,000
Step-by-step explanation:
she made 52,000 by working by her job
