length = 8ft
height = 4 in
width = w ft --> u looking for this
convert in to ft for the height:
4 in (1 ft / 12 in) = 1/3 ft
You know that:
1 cubic yard = $ 98
? cubic yard = $58.07
Solve for ? cubic yard:
? cubic yard = 58.07/98 = 0.592551
convert this in cubic feet:
1 yard = 3 feet
0.59255 cubic yard (27 cubic ft/1 cubic yard) = 15.99887755 cubic ft
Now solve for the width:
length x width x height = ? cubic ft.
width = ? cubic ft / (length x height) =15.99887755 cubic ft/[(8ft)(1/3 ft )] = 5.999579082 ft
approx 6 ft
<h3>
Answer: x = 25</h3>
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Work Shown:
We'll use the pythagorean theorem
a^2 + b^2 = c^2
7^2 + 24^2 = x^2
49 + 576 = x^2
625 = x^2
x^2 = 625
x = sqrt(625)
x = 25
The hypotenuse is 25 units long.
Note: the value of c is always the hypotenuse, while the order of 'a' and b doesn't matter.
Positive, since the negative signs cancel out.
Given:
Equation of line 
.
To find:
The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.
Solution:
The given equation of line can be written as
Slope of line is
Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is
![[\because m_1=\dfrac{7}{4}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20m_1%3D%5Cdfrac%7B7%7D%7B4%7D%5D)
Now, the slope of perpendicular line is 
and it goes through (-21,2). So, the equation of line is
Therefore, the required equation in slope intercept form is .
