Answer:
B. 60cm^3
Step-by-step explanation:
The volume of a right triangular prism is
V = BH where B is the area of the triangle and H is height
B = 1/2 bh where b =5 and h =8
B = 1/2 *40 = 20
V = (20) * 3
V = 60 cm^3
We need to be careful to do the area of the triangle first
4600(.83)^x
4600(.83)^ 7 (7 is years from 16 to 23)
=approx 1248
If you are solving for "h" here you go.
Simplifying
3(2 + -0.9h) + (-1.3h + -4) = 0
(2 * 3 + -0.9h * 3) + (-1.3h + -4) = 0
(6 + -2.7h) + (-1.3h + -4) = 0
Reorder the terms:
6 + -2.7h + (-4 + -1.3h) = 0
Remove parenthesis around (-4 + -1.3h)
6 + -2.7h + -4 + -1.3h = 0
Reorder the terms:
6 + -4 + -2.7h + -1.3h = 0
Combine like terms: 6 + -4 = 2
2 + -2.7h + -1.3h = 0
Combine like terms: -2.7h + -1.3h = -4h
2 + -4h = 0
Solving
2 + -4h = 0
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -4h = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -4h = 0 + -2
-4h = 0 + -2
Combine like terms: 0 + -2 = -2
-4h = -2
Divide each side by '-4'.
h = 0.5
Simplifying
h = 0.5
You're welcome! C:
Lets solve our radical equation 
step by step.
Step 1 add 4 to both sides of the equation:
Step 2 square both sides of the equation:
Step 3 expand the binomial in the right hand side:
Step 4 simplify the expression:
Step 5 factor the expression:
Step 6 solve for each factor:
or 
or 
Now we are going to check both solutions in the original equation to prove if they are valid:
For
The solution 
is a valid solution of the rational equation .
For
Since -3 is not equal to -5, the solution is not a valid solution of the rational equation ; therefore, is an extraneous solution of the equation.
We can conclude that even all the algebraic procedures of Israel are correct, he did not check for extraneous solutions.
An extraneous solution of an equation is the solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation. Is worth pointing out that extraneous solutions are particularly frequent in rational equation.
