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.
Volume of water will it take to fill in the well is 4710 cubic feet
<h3><u>
Solution:</u></h3>
Given that a cylindrical well has a radius of 10 feet
Height of cylindrical well = 15 feet
To find: volume of water will it take to fill in the well
Since, the well is in the form of cylinder, This means that we need to find the volume of cylindrical well
<em><u>The volume of cylinder is given as:</u></em>

Where "r" is the radius and "h" is the height of cylinder
Substituting the given values we get,


Hence, the amount of water that can be stored in the well is 4710 cubic feet
249 children and 394 adults swam at the public pool.
Step-by-step explanation:
Number of people swam at pool = 643
Receipts = $1161.50
Cost for one child = $1.50
Cost for one adult = $2.00
Let,
x be the number of children
y be the number of adults
According to given statement;
x+y=643 Eqn 1
1.50x+2.00y = 1161.50 Eqn 2
Multiplying Eqn 1 by 2

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 0.5

Putting x=249 in Eqn 1

249 children and 394 adults swam at the public pool.
Keywords: linear equation, subtraction
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