This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³
OR VOLUME = 5612 ft³
Answer:
Alvin: 49
Elga: 40
Step-by-step explanation:
- The equation is 89 = x + (x-9).
- Remove the parenthesis and combine the like terms. 89 = 2x - 9
- Add 9 on both sides. 98 = 2x
- Divide by 2 on both sides. x = 49
- 49 is the age of Alvin. (49-9) 40 is the age of Elga.
Answer: C
ABCD may or may not be a parellolgram. Line BD bisects line AC, however we cant figure out if line AC bisects line BD.
Answer:
f^-1(x) = x - 2
Step-by-step explanation:
To find the inverse of a function in terms of x and y, you would sway x and y in the function. We can rewrite f(x) = x + 2 as y = x + 2, since f(x) is basically y in a function. The inverse of y = x + 2 would be x = y + 2. Now, solve for y.
x = y + 2
-2 both sides.
x - 2 = y
y = x - 2
The inverse of y = x + 2 would be y = x - 2, so the inverse of f(x) = x + 2 would be f^-1(x) = x - 2 (f^-1(x) means the inverse of f(x)).
f^-1(x) = x - 2
I hope you find this helpful. :)
<span><span><span>6+<span>14r</span></span>−<span>12r</span></span>+3
</span><span>=<span><span><span><span>6+<span>14r</span></span>+</span>−<span>12r</span></span>+3
</span></span>Combine Like Terms:
<span>=<span><span><span>6+<span>14r</span></span>+<span>−<span>12r</span></span></span>+3
</span></span><span>=<span><span>(<span><span>14r</span>+<span>−<span>12r</span></span></span>)</span>+<span>(<span>6+3</span>)
Your answer would be:
</span></span></span><span><span><span>
2r</span>+<span>9
~Good Luck~</span></span></span>
