Answer:
C. 
Step-by-step explanation:
We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.
Law of cosines:
, where, a, b and c are sides opposite to angles A, B and C respectively.
Upon substituting our given values in law of cosines, we will get:








Now, we will use inverse cosine or arc-cos to solve for angle Z as:



Therefore, the measure of angle Z is approximately 51 degrees.
Answer:
Natural numbers between
and
is
(76 * 76) - (75 * 75)
=> 5776 - 5625
=> 151
Therefore, there are 151 natural numbers between
and 
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Answer:

Step-by-step explanation:
This situation can be considered as a piecewise function. First, you take xo as the time in which the drone goes upward. Before this time the height of the drone is constant with a value of 5 m. Next, you take into account that during 1.9 s after xo the drone accelerates. Finally, the drone flies again with a constant height of 5.9m. Hence, this function has three parts:
For the first part you have:
y = 5 for x < xo
For the second part you first calculate vertical speed (which means the slope of the linear function) by using the following kinematic equation:

Then you have:
y = 0.47x for xo < x < xo + 1.9s
And for the third part:
y = 5.9 for x > xo + 1.9s
Summarizing you obtain:

Answer:
We show 1 to distinguish a vertex, but with laws of supplementary the answer is 2.
Step-by-step explanation:
Answer:
You didn't show any of the expressions
Step-by-step explanation: