Answer:
The other legs are 9 and 9√3
Step-by-step explanation:
The longer side of a 30-60-90 degree rectangle is 18.
The other legs will be

and

Where x is the longest side, which is given as 18.
Therefore one leg will be:

and the other leg will be:

Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The formula of a slope:

We have the points (5, -5) and (-4, -2).
Substiute:

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

<em>add 5/3 to both sides</em>

Finally we have the equation of a line in the slope-intercept form:

Convert to the standard form <em>(Ax + By = C)</em>:
<em>multiply both sides by 3</em>
<em>add x to both sides</em>

Answer:
$11,714
Step-by-step explanation:
C(x) = 0.7x² - 462x + 87,944
this is a quadratic equation that opens up
the vertex will be the minimum
From the quadratic formula the x coordinate of the vertex is
x = -b/2a
x = 462/(2 * 0.7)
x = 330
Plug in
c(330) = 0.7(330²) - 462(330) + 87,944
c(330) = 11,714
$11,714