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mcmccann4317
17.07.2019 •
Mathematics
Does this table represent a function? why or why not?
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Ответ:
D
Ответ:
D. Yes , because every x -value corresponds to exactly one y-value.
Step-by-step explanation:
A function is a special kind of relationship between two variables x and y where x represents input value and y represents output value such that each input has a one unique output.In the given table , the first column represents Hours of training (input value (say x)) and second column represents Monthly pay (output value (say y)).
We can see that each input appears once .
Thus, the output value corresponds every input value is unique.
Hence, the table represents a function.
Ответ:
As per the statement:
The angle of depression of a boat at sea from a 100 foot lighthouse is 20 degrees.
We draw the figure for this problem as shown below:
Height of the lighthouse(BC) = 100 foot
Angle of depression = 20 degrees.
Since, angle of depression is equal to the angles of elevation
i.e,![\angle DCA = \angle CAB = 20^{\circ}](/tpl/images/0284/7017/397e1.png)
using tangent ratio:
Here,
Opposite side = BC = 100 foot
Adjacent side = AB
Angle of elevation:![\theta = 20^{\circ}](/tpl/images/0284/7017/196f4.png)
Substitute these to solve for AB:
or
Simplify:
AB = 294.375362123 foot
Therefore, the distance to the boat approximately is 294.4 foot