The length of the hypotenuse and the opposite side to angle<em> </em><em>x</em> of the right triangle are 8 cm and 3 cm respectively, which gives angle <em>x </em>as approximately 22.0°
<h3>Which of the trigonometric ratios can be used to find x°?</h3>
A description of the parts of the triangle are;
Length of the hypotenuse side = 8 cm
Length of the opposite side to <em>x°</em><em> </em>= 3 cm
The trigonometric ratio of the sine of x° is presented as follows;
Therefore;
Which gives;
- Angle<em> </em><em>x </em>≈ 22.0°
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The equation of the graph, in slope-intercept form, is: C. y = 2/3x + 6.
<h3>How to Write a Linear Equation in Slope-Intercept Form?</h3>
The linear equation of a graph in slope-intercept form is expressed as y = mx + b. Where the variable in the equation are as follows:
- b = y-intercept (this is the point on the y-axis where the line intercepts).
- m = slope (this is the rise/run along the line = change in y / change in x).
Considering the graph given, to write the linear equation it represents, find the slope (m) and the y-intercept (b) of the line.
Slope (m) = rise/run = 2 units/3 units
Slope (m) = 2/3.
The line intercepts the y-axis at y = 6, thus, the y-intercept (b) would be 6. b = 6.
Substitute m = 2/3 and b = 6 into the slope-intercept form equation, y = mx + b:
y = 2/3x + 6
Thus, the equation, in slope-intercept form, that represents the linear graph as shown in the image given is: C. y = 2/3x + 6.
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Precipitation is when liquid falls from the atmosphere and reach the surface of the Earth. Condensation is when water vapor changes back into water (in liquid form).
First, plug in 7 for m
|6 - 2(7)|
|6 - 14|
|-8|
since it's an absolute value, the answer will be positive
answer: 8
D.
-5(-1) + 2(2) = 5 + 4 = 9
-3 + 10 = 7
