Well, check the picture below, that's a triangular prism
so.. if you notice, is really just 2 triangles and 3 rectangles stacked up to each other at the edges
so.. if you just find the area of the 3 rectangles, and the two triangles, sum all five areas up, and you're golden
in your picture, notice the tickmarks, that triangle has all sides equal to each other, so.. if one is 6 units, so are the other sides as well
now.. to get the area of a triangle is 1/2bh as you'd know... so.. what the dickens is the "h" or height of the triangle anyway, well

that's the altitude or height, you already know the base, notice the tickmark
so, get the area of those 2 triangles, and the 3 rectangles and sum them up, and that's the surface area of the triangular prism
Answer: 3 inches wide (estimated orignially it came up to 2.65)
2 inches length
Step-by-step explanation:
Answer:
x<15
Step-by-step explanation:
-(x - 1) + 20 <-3(x - 3)
-x + 1 + 20 <-3x + 9
-x + 21 < -3 + 9
-x < -3 + 9 - 21
-x÷ -1 < -15 ÷ -1
x > 15
Answer:
A. 4x-10
Step-by-step explanation:
We see that this is a rectangle. To find the perimeter, we do L+W+L+W. So in this case, we can do (x+2)+(x-7)+(x+2)+(x-7). We can also simplify this to 2(x+2)+2(x-7)
Combine like terms now.
Simplify this to:
2x+4+2x-14
Simplify further:
4x-10
D = sq.root of((x2 - x1)^2 + (y2 - y1)^2)
sq.root of 13 = sq.root of((x - (-2))^2 + (1 - 3)^2)
= sq.root of((x + 2)^2 + (-2)^2)
= sq.root of (x^2 + 4x + 4 + 4)
= sq.root of (x^2 + 4x + 8)
Now if we square both sides:
x^2 + 4x + 8 = 13
x^2 + 4x - 5 = 0
(x + 5)(x - 1) = 0
x = -5 or x = 1