Answer:
19/42
Step-by-step explanation:
Answer:
m∠K = 37° and n = 31
Step-by-step explanation:
A lot of math is about matching patterns. Here, the two patterns we want to match are different versions of the same Law of Cosines relation:
- a² = b² +c² -2bc·cos(A)
- k² = 31² +53² -2·31·53·cos(37°)
<h3>Comparison</h3>
Comparing the two equations, we note these correspondences:
Comparing these values to the given information, we see that ...
- KN = c = 53 . . . . . . . . . . matching values 53
- NM = a = k . . . . . . . . . . . matching values k
- KM = b = n = 31 . . . . . . . matching values 31
- ∠K = ∠A = 37° . . . . . . . matching side/angle names
Abby apparently knew that ∠K = 37° and n = 31.
__
<em>Additional comment</em>
Side and angle naming for the Law of Sines and the Law of Cosines are as follows. The vertices of the triangle are labeled with single upper-case letters. The side opposite is labeled with the same lower-case letter, or with the two vertices at either end.
Vertex and angle K are opposite side k, also called side NM in this triangle.
<span>common stock: 8000 cash: 8000 5600
2400 1000
2500
1100
-----------
10400 10200
+200
equip: 5600 notes recv: 6100
revenue: 6100
2400
-------
8500
rent: 1000
wages: 2500
dividends: 1100
-------
4600
-------------------------------
8500
-4600
------
3900 - gross profits</span>
Answer:
A,C
Step-by-step explanation:
sin 2x=sin (x+x)=sinx cos x+cos x sin x=2 sin x cos x
or =2 cos x sin x
[sinx cox=cos x sin x ]
