Answer:
$39.15
Step-by-step explanation:
87 x .55 = 47.85
87-47.85= 39.15
This equation is not factor-able, so we can use the quadratic formula.
x=(-11+square root(11^2-4(-12*-3)))/(2*-12)
x=(-11+square root(-23))/(-24)
Since we have the square root of a negative in this equation, there are no real roots for the quadratic.
Answer:
The equation of the line that passes through the point (4,7) and has a slope of 0 will be:
Step-by-step explanation:
As we know the equation of a line in a slope-intercept form of an equation is
Here,
so
substituting the point (4,7) and slope m=0
Therefore, the equation of the line that passes through the point (4,7) and has a slope of 0 will be:
Your answer would be x = 12.41
6.15 (x - 8.86) = 21.83
*6.15 * 6.15
6.15x - 54.49 = 21.83
+ 54.49 + 54.49
6.15x = 76.32
/6.15 /6.15
x = 12.41
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
