AB^2 + BC^2 = AC^2
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117
Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9

Therefore AB is 9 cms.
Answer:
$31.80
Step-by-step explanation:
The ball will cost 100% of its price plus 6% of its price for a total of 106%.
To use percentages as a factor and multiply, they must be divide by 100, making the multiplication factor version of 106% 1.06.
Multiply the cost of the ball by your multiplication factor:
30 x 1.06 = 31.8
Money is written to two decimal places, making your answer $31.80
He can buy 12 flags, the remainder represents his left over money
When you graph the three lines, the first two overlap. The third is parallel to those two.
Answer:
1. The graph of the inequality, y > -3·x - 2, created with MS Excel is attached showing the following characteristics;
Linear
Shade is above the line
2. The graph of the inequality, y ≤ │x│ - 3, created with MS Excel is attached showing the following characteristics
Linear
Shade is below the line
3. The graph of the inequality, y < x² - 4, created with MS Excel s attached showing the following characteristics;
Quadratic
Shade below the line
Step-by-step explanation: