Measure of angle 8 is 135°
Answer:
608 ft²
Step-by-step explanation:
<u>1) Find the area of the bases</u>
where b is the base length and h is the height
Plug in b and h
Multiply the answer by 2 (because there are 2 bases)
A=96
Therefore, the area of the two bases is 96 ft².
<u>2) Find the area of the two sides facing up</u>
where l is the length and w is the width
Plug in l and w
Multiply the answer by 2 (because there are 2 sides)
A=320
Therefore, the area of these two sides is 320 ft².
<u>3) Find the area of the bottom side</u>
where l is the length and w is the width
Plug in l and w
Therefore, the area of this side is 192 ft².
<u>4) Add all the areas together</u>
96 ft² + 320 ft² + 192 ft²
= 608 ft²
Therefore, the surface area of the triangular prism is 608 ft².
I hope this helps!
Answer:
Using Geometry to answer the question would be the simplest:
Step-by-step explanation:
Remembering the formula for the area of a triangle which is 
. One can then tackle the question by doing the following:
Step 1 Find the y-intercepts
The y-intercepts are found by substituting in 
.
Which gives you this when you plug it into both equations:
So the y-intercepts for the graphs are 
, and 
respectively.
Now one has to use elimination to solve the problems by adding up the equations we get:
Now to solve for the y component substitute:
Therefore, the graphs intersect at the following:
Now we have our triangle which is accompanied by the graph.
now to solve it we must figure out how long the base is:
The height must also be accounted for which is the following:
Now the formula can be used:
