Answer/Step-by-step explanation:
✔️Find k:
Reference angle = 60°
Hypotenuse = k
Opposite = 9
Therefore, using trigonometric ratio, we have:

Multiply both sides by k

Divide both sides by sin(60)




Rationalize



✔️Find f:
Reference angle = 60°
Opposite = 9
Adjacent = f
Therefore, using trigonometric ratio, we have:

Multiply both sides by f

Divide both sides by tan(60)


Rationalize



For #1. Step 1: Set the equations equal to one another: (3x + 20) = (2x + 40)
Step 2: Subtract 2x on both sides of the equal sign: (3x-2x + 20) = (2x-2x + 40)
x + 20=40
Step 3: Subtract 20 on both sides of the equal sign: x + 20-20= 40-20
x=20
Step 4: plug in 20 for x: 3(20) + 20= 80 & 2(20) + 40= 80
Answer:
J) -4.5
Step-by-step explanation:
-12x=54
x=54÷(-12)
x=-4.5
Answer:
x = 162
Step-by-step explanation:
The equation editor lets you properly write exponents, so we have to assume that your equation is supposed to be equivalent to ...
27 = x/6
27·6 = x = 162 . . . . multiply by 6
_____
On the off chance you intend ...

you can solve this by taking logarithms and dividing by the coefficient of x. Using base 3 for the logarithm may be easiest.

This version of the equation has solution x = -6.