Explanation:
The Law of Cosines specifies the relationship between the three sides of a triangle and any one of the angles. If the sides are designated a, b, and c, and the angle opposite side c is C, then it tells you ...
c² = a² + b² -2ab·cos(C)
This relationship can be used to find any and all angles, given the three sides of a triangle. Or, having found one angle using the Law of Cosines, the others can be found using the Law of Sines:
sin(A)/a = sin(B)/b = sin(C)/c
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Typically, inverse functions are required. That is, from the Law of Cosines, ...
C = arccos((a² +b² -c²)/(2ab))
And from the Law of Sines, ...
A = arcsin(a/c·sin(C))
B = arcsin(b/c·sin(C))
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<em>Note on solving triangles</em>
It often works best to make use of exact values where possible. It is also a good idea to start with the longest side/largest angle. Of course, once you have two angles the other can be found as the supplement of their sum.
area = S^2
so 20.25 = S^2
take square root of 20.25 for length of side
square root of 20.25 = 4.5 inches
If you do 35 times 4 you get 140. Divide 140 by 20 and you get 7 . Therefore the manager would have to buy 7 packs of candy bars and 4 packs of water bottles
Answer:
The probability is 2/3
Step-by-step explanation:
The first thing to write here is the sample space.
I have shown this in the attachment.
Kindly note that the number of expected outcome is 36
The outcome we are looking at is either an even sum or a multiple of 3
These are what i have circled in the addition results
The number of circles is 24
The probability is thus 24/36 = 2/3
<span>
−<span>5<span>(<span><span>3x</span>−1</span>)</span></span></span><span>
=<span><span>(<span>−5</span>)</span><span>(<span><span>3x</span>+<span>−1</span></span>)</span></span></span><span>
=<span><span><span>(<span>−5</span>)</span><span>(<span>3x</span>)</span></span>+<span><span>(<span>−5</span>)</span><span>(<span>−1</span>)</span></span></span></span><span>
=<span><span>−<span>15x</span></span>+<span>5</span></span></span>
