Answer:
1 and 1/3 cups of sugar
Step-by-step explanation:
A dozen cupcakes are 12 cupcakes so i would be 24 cupcakes to make 2 dozen cupcakes then for the half a dozen you would do only another 6 cupcakes and you would add all of that up and get 1 and 1/3 cups of sugar.
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.
Let the bigger no. = x+48
smaller no. = x
5x = x + 56
4x = 56
x = 14
x + 48 = 62
Check :
62-14= 48
5×14= 70 is equal to 62+8=70
Ans : 14 and 62
