Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
Answer:
7.5
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
both 8^-8 and 16^-8+2 equal 5.9605
Answer:
The trapezoid.
Step-by-step explanation:
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Answer:
f(-6)= -4
Step-by-step explanation:
f(x)=8+2x for f(-6)
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x= -6
substitute: 8+2(-6)
simplify using PEMDAS: 8+ (-12)
simplify using PEMDAS: -4
