The volume of triangular prism V = A * h.
So, V = 3.5*5 = 17.5 cubic inches
The 5s are in the tens and one
What is the solution (not answer) to (not too) x^2 - 3x + 5 = 0?
This is a quadratic equation. Two possible approches to solving it are
1) quadratic formula, and
2) completing the square.
Let's use the quadratic formula:
a=1, b= -3, c = 5
Then
-(-3) plus or minus sqrt( [-3]^2 - 4(1)(5) )
x = --------------------------------------------------------
2
3 plus or minus sqrt(9-20) 3 plus or minus i*sqrt(11)
= ------------------------------------- = ------------------------------------
2
Please note: These are complex roots, due to the " i ".
First convert the mixed numbers into fractions:
2 1/6 = 13/6
4 2/3 = 14/3
Now add the fractions:
13/6 + 14/3 = (13 + 14*2)/6 = (13+28)/6 = 41/6
Now convert it back to mixed number
41/6 = 6 5/6
thus 2 1/6 + 4 2/3 = 6 5/6
Hope it helps!