Answers:
For original triangle, perimeter is 60. The area is 120.
The dilated triangle, perimeter is 180. The area is 1080.
Step-by-step explanation:
24 times 3=72
10 times 3=30
26 times 3=78
72+30+78=180
Perimeter of diliated triangle
1/2btimesh=area
1/2 30 times 72=1080 square units
Perimeter of original triangle
24+10+26=60 units
1/2 10 times 24=120 square units
Answer:
Step-by-step explanation:
Answer:
in the first equation: x < -1/6
in the second equation: x≥6
Step-by-step explanation:
just ask!
hope this helps :)
f(x) = tan2(x) + (√3 - 1)[tan(x)] - √3 = 0
tan2(x) + √3[tan(x)] - tan(x) - √3 = 0
Factor into
[-1 + tan(x)]*[√3 + tan(x)] = 0
which means
[-1 + tan(x)] = 0 and/or [√3 + tan(x)] = 0
Then
tan(x) = 1
tan-1(1) = pi/4 radians
For the other equation
[√3 + tan(x)] = 0
tan(x) = -√3
tan-1(-√3) = -pi/3
so that
x = pi/4 or -pi/3 in the interval [0, 2pi]
