The solution to the system of inequalities is (0.667, 5.333)
<h3>How to graph the inequalities?</h3>
The system of inequalities is given as:
y > 2x + 4
x + y ≤ 6
Next, we plot the graph of the system using a graphing tool
From the graph, both inequalities intersect at
(0.667, 5.333)
Hence, the solution to the system of inequalities is (0.667, 5.333)
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Answer:
The answer is
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Step-by-step explanation:
First of all find the LCM of the denominators
The LCM of 5 and 56 is 280
So we have
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Reduce the fraction with 4
We have the final answer as
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Hope this helps you
Answer:
The answer is $25
Step-by-step explanation:
First you would see how much it costs for 3 pairs of pants that we're both $25. Then you would subtract that total by 100. The total was $75 btw.
Hope this helped luv :)
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.
