Answer:
The correct answer is:

Step-by-step explanation:
By evaluating first, and then the mathematical calculation, we have:

Answer:
$31.8
Step-by-step explanation:
Assuming the 6% tax is separate from the $30, we can use this equation:
Total = Cost + Tax (pretty self explanatory)
Method 1
Total = $30 + (6% * $30)
Total = $30 + $1.8
Total = $31.8
Method 2
Total = $30 * 1.06 (The 1 is the original cost, the .06 is the 6% tax)
Total = $31.8
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Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.
a. 12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5 This is also know as a Pythagorean Triple 5-12-13
b. a^2 + 9^2 = 12^2
a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7
c. 6^2 + 9^2 = c^2
36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13