Answer:
C. 
Step-by-step explanation:
We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.
Law of cosines: 
, where, a, b and c are sides opposite to angles A, B and C respectively.
Upon substituting our given values in law of cosines, we will get:
Now, we will use inverse cosine or arc-cos to solve for angle Z as:
Therefore, the measure of angle Z is approximately 51 degrees.
Answer:
The total change in his account is of -$85, that is, a loss of $85
Step-by-step explanation:
We combine these changes. So
On Tuesday, he withdrew $90 from his account, which means that, the total change, initially of $0, is now of -$90.
On Thusday, he deposited $20, which means that the total change of -$90 is now of -$90 + $20 = -$70
On Friday, he wrote a check of $15, removing 15 from his account, which means the total change will be of -$70 -$15 = -$85
Answers:
- Problem 13) M, N, L
- Problem 14) N, L, M
For each answer above, the angles are sorted from smallest to largest.
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Explanation:
The general rule used here is: the smallest side is always opposite the smallest angle. Similarly, the largest side is always opposite the largest angle. This trick only works for triangles.
For problem 13, the smallest angle is M because the shortest side is opposite this angle (side NL = 12). The largest side is MN = 21, making the angle opposite this (angle L) to be the largest angle.
We do not need to compute the actual angle values, though you could if you wanted. To find the angle values, you would use the law of cosines. The steps for this are fairly lengthy, so I'll just use the trick mentioned above.
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Problem 14 is the same idea. Here LM = 7 is the shortest side this time, leading to angle N as the opposite angle that's the smallest of the three angles. Angle M is the largest angle because NL = 14 is the longest side.
Step-by-step explanation:
A= 1000(1+6/100x5)=1300 then 1000-1300=-300
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