Answer: 41.1
Step-by-step explanation:
To find the value of x, we need to use SOH-CAH-TOA. SOH-CAH-TOA is since, cosine, and tangent. The O, A, H stands for opposite, adjacent, and hypotenuse respectively.
Looking at the figure, we see 47°. The labelled angles are adjacent and the hypotenuse. Therefore, we use CAH or cosine.
[multiply both sides by x]
[divide both sides by cos(47)]
When we plug that into a calculator, we get x=41.1.
Answer:
Option (C) is correct.
Step-by-step explanation:
The given options of the possible equation for the graph are as follows:
The given graph is decreasing and at x=0, y=2.
So, first checking the value of the given options for x=0
As, for x=0, y=2, so options (C) and (D) are not possible, so rejected.
Now, checking the nature (increasing or decreasing) of the given equation by differentiating it.
For option (A),
As
So,
Therefore, the function in option (A) is increasing function.
Similarly, for option (C),
As
So,
Therefore, the function in option (C) is decreasing function.
As the given graph is decreasing, so, (C) represents the given graph.
Hence, option (C) is correct.