Answer:
Step-by-step explanation:
a. Area is calculated by summing the areas of the prism's individual surfaces.
#First, calculate the areas of the right-angled surfaces:
#We then find the areas of the rectangular surfaces:
#We sum the areas to find the total surface areas:
Hence, the prism's surface area is 
b.Area is calculated by summing the areas of the prism's individual surfaces.
#First, calculate the areas of the right-angled surfaces:
#We then find the areas of the rectangular surfaces:
#We sum the areas to find the total surface areas:
Hence, the prism's surface area is 
the answer is:
C. -23 + 6 = x
Step-by-step explanation:
- (-6) = + 6
If it is perpendicular to the line 14x-7y=4, then we know our line has the opposite and inverse slope of that line. Solving for y of the first line, we get y=2x-(4/7). All we care about is the coefficient of the x term, because that will give us our slope. The slope of the first line is 2, so the slope of out line is the opposite and inverse of that slope, which -(1/2).
Plugging into our slope- point formula, where y1=(-9), x1=2, and m=(-1/2), then:
y-(-9)=(-1/2)(x-2)
y+9=(-1/2)x+1
y=(-1/2)x-8
Hope this helps!
Answer:
40 square units
Step-by-step explanation:
The question gives that both the large shape and the small missing shape are rectangles. The formula for the area of a rectangle is 
where "A" is the "Area", "b" is the "base" (bottom edge), and "h" is the height (side edge).
For rectangles, opposite sides (example: top & bottom) have the same length, so the top of the missing rectangle must also be 3.
To find the area of the figure, we must find the difference (subtraction) between the large rectangle (without a hole out of it) and the rectangular hole.
So, the area of the figure is 40 square units.
