Math 4th grade need help it's difficult
2 answers:
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<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°
The length of the one leg of the triangle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Multiplying both sides of the equation by 8, we get;
Simplifying, we get;
Therefore, the value of x is 5.35(app.)
Hence, Option A is the correct answer.
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:
