Answer:
x = 13sqrt(3) ft = 22.5 ft
y = 13 ft
Step-by-step explanation:
The triangle is a 30-60-90 right triangle.
The ratio of the lengths of the sides is
short leg : long leg : hypotenuse = 1 : sqrt(3) : 2
From the ratio above we see that the hypotenuse is twice the short leg.
The long leg is sqrt(3) times the short leg.
y = short leg
x = long leg
26 ft = hypotenuse
y = 26 ft/2 = 13 ft
x = 13 ft * sqrt(3) = 13sqrt(3) ft = 22.5 ft
Answer:
-1
Step-by-step explanation:
20 / -1 = -20
step 1
Find the slope of the given line
we have
y=(2/3)x+4
the slope is m=2/3
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal
so
the slope of the perpendicular line to the given line is
m=-3/2
step 2
Find the equation of the line in slope intercept form
y=mx+b
we have
m=-3/2
point (-2,5)
substitute
5=(-3/2)(-2)+b
solve for b
5=3+b
b=2
therefore
<h2>y=-(3/2)x+2</h2>