Answer:
<em>A = 144 cm^2</em>
Step-by-step explanation:
a.
The 3D shape shown in the image is a prism, known because it has two parallel faces called bases (the front and back triangles) and the other faces being parallelograms.
b.
To compute the total surface area, we must add the area of the five faces of the shape.
For the bases:
For the upper face
Where z is the hypotenuse of the triangle and w is the depth of the prism.
For the face-down surface
For the right face
The total area is
c.
Answer:
.
Step-by-step explanation:
Start by finding the slope of the line perpendicular to .
The slope of is
.
In a plane, if two lines are perpendicular to one another, the product of their slopes would be .
Let denote the slope of the line perpendicular to
. The expression
would denote the product of the slopes of these two lines.
Since these two lines are perpendicular to one another, . Solve for
:
.
The is a point on the requested line. (That is,
and
.) The slope of that line is found to be
. The equation of that line in the point-slope form would be:
.
Rewrite this point-slope form equation into the slope-intercept form:
.
