The measures of the legs of the right triangle are:
X = 2.5
Y = 4.3
<h3>
How to find the values of x and y?</h3>
In the image, we can see a right triangle with a hypotenuse with a value of 5, and a known angle.
To find the values of X and Y (the legs of the triangle) we can use the two relations:
Sin(a) = (opposite cathetus)/(hypotenuse)
Cos(a) = (adjacent cathetus)/(hypotenuse)
In this case, we have:
a = 30°
hypotenuse = 5
opposite cathetus = X
adjacent cathetus = Y.
Replacing that in the relations we get:
Sin(30°) = X/5
Sin(30°)*5 = X = 2.5
cos(30°) = Y/5
cos(30°)*5 = Y = 4.3
Learn more about right triangles:
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Answer:
Step-by-step explanation:
3
x
−
6
y
=
3
Rewrite in slope-intercept form.
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y
=
1
2
x
−
1
2
Using the slope-intercept form, the y-intercept is
−
1
2
.
b
=
−
1
2
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y
=
1
2
x
−
1
2
Using the slope-intercept form, the slope is
1
2
.
m
=
1
2
Answer: c
Step-by-step explanation:
