The figure of the prism is attached below.
The total surface area of the prism equals the sum of areas of two triangles and the three rectangles.
Surface Area of Prism = Area of 2 Triangles + Area of 3 Rectangles.Area of a Triangle = 0.5 x Base x Height
Area of a Triangle = 0.5 x 3 x 4 = 6 square units
There are 3 rectangles. From the figure we can see that the bottom most rectangle has the dimensions 4 by 6. The left most rectangle has the dimensions 3 x 6 and the right most rectangle has the dimensions 5 by 6.
So, the Area of 3 rectangles will be = (4 x 6) + (3 x 6) + (5 x 6) = 72 square units
The Surface Area of the prism will be:
Surface Area = 2 (4) + 72 = 84 square units
Thus the correct answer is option A
Answer:
wdym
Step-by-step explanation:
To solve for X in this equation, you would subtract both sides by 14 because our goal is to get X on its own. If we write it out, we see that
X + 14 - 14 = 56 - 14
X=42
Because we have a positive 14, a negative 14 will average out to be 0, but what you do to one side, you must do to the other.
If you have any more questions, feel free to ask!
Answer:
-8(-7r-7)+8=-272
We move all terms to the left:
-8(-7r-7)+8-(-272)=0
We add all the numbers together, and all the variables
-8(-7r-7)+280=0
We multiply parentheses
56r+56+280=0
We add all the numbers together, and all the variables
56r+336=0
We move all terms containing r to the left, all other terms to the right
56r=-336
r=-336/56
r=-6
Let's just quickly note that the area of a triangle is base*height/2
So let's use XY as the base and use Z for the height
The base, or length of XY is 9 because the x values are the same(-5) and the y values are 9 apart(-1-(-10)=9)
Thus we now know our base is 9.
Now let's figure out the height.
In the graph, draw a perpendicular line from Z to line XY. You will find that the length of the line drawn is actually the change in X from Z to X or Y.
Thus, the change of X between -9 and -5 is 4 because -5-(-9)=4.
Before I continue, I want to note that it could be -9-(-5)=-4 but it really doesn't matter because we are trying to find the distance between the tho points and distance can't be negative.
Now to continue:
We have the height, which is 4 units, and we have the length, which is 9 units. Thus we plug this into our formula to get A=H*B/2=4*9/2=18 units^2