Below are the choices that can be found elsewhere:
<span>a. $1,158.33
b. $1,069.23
c. $2,316.66
d. $1,539.22
</span>
Below is the solution:
$27,800 / 12 months = 2,316
$2,316 / 2 since it bi-monthly = $1,158.33
Thank you for posting your question here. I hope the answer helps.
<h3>
Answer: Choice D) 31.2 miles</h3>
This value is approximate.
============================================================
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
----------------
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.
D. Becaus it is the only one that mentions the characters of a triangle
Statement : Val spent $ 34 for the 2 items
contradiction : Neither of the 2 items that Val bought cost more then $ 15
think about it....if neither of them cost more then 15....lets say they cost 15 each...then there is no way he spent $ 34.....he would spend at most $ 30
