Which of the following is the correct graph of the solution to the inequality −8 −5x + 2 > −38?
2 answers:
Answer:
x < 6.4
Step-by-step explanation:
given,
-8 - 5 x + 2 > -38
- 5 x - 6 > -38
adding both side by 6
- 5 x - 6 + 6 > -38 + 6
- 5 x > -32
multiplying both side by (-1)
5 x < 32
on multiplying by negative sign the inequality direction changes
x < 6.4
the graph is shown in the figure attached below. the shaded region shows the required area.
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Given:
The measure of three sides of a triangle are 8, 7 and 14.
To find:
The measure of the angle opposite the side of length 8.
Solution:
According to the Law of Cosine:
Let a=8, b=7 and c=14, then by using Law of Cosine, we get
Taking cos inverse on both sides.
Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.