Complete the table. Multiply by 6.
1 answer:
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<u>Given</u>:
In ΔVWX, the measure of ∠X=90°, XW = 36, WV = 85, and VX = 77.
We need to determine the ratio that represents the sine of ∠W
<u>Ratio of sin of ∠W:</u>
The ratio of sin of ∠W can be determined using the trigonometric ratios.
The ratio of is given by
From the attached figure, the opposite side of ∠W is XV and the hypotenuse of ∠W is WV.
Hence, substituting in the above ratio, we get;
Substituting the values, we get;
Thus, the ratio of sine of ∠W is
The intercepts of the graph are:
x-axis interception: .
y-axis interception: .
See the graph of the function in the attached image.
<h3>Constructing a graph</h3>
For constructing a graph we have the following steps:
- Determine the range of values for x of your graph.
For this exercise, for example, we can define a range -4<x<4. In others words, the values of x will be in this interval.
- Determine the points
Replace these x-values in the given equation. For example:
When x=-4, we will have: . Do this for the all x-values of your ranges.
See the results for this step in the attached table.
- Draw the graph
Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.
The attached image shows the graph for the given function.
<h3>Find the x- and y-intercepts</h3>The intercepts are points that crosses the axes of your plot. From your graph is possible to see:
x-axis interception points (y=f(x)=0) are: .
y-axis interception point (x=0) is: .
Learn more about intercepts of the graph here:
