Tony is installing a new doorway to his back yard. He cuts a hole into his back wall, but it must
2 answers:
Answer:
Yes, Tony did succeed in cutting a rectangle with right angle corners.
Step-by-step explanation:
If the cut rectangle has right angle corners, then the Pythagorean theorem would work.
Verify using the Pythagorean theorem.
72.25 = 72.25
The two sides of the equations are equal, so the Pythagorean theorem works.
Therefore, Tony did succeed in cutting a rectangle with right angle corners.
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Answer:
7 reservoirs
Step-by-step explanation:
1 yards = 3 feet => 3.5 yards = 10.5 feet
To determine how many numbers of reservoirs to reserve 90000, we first need to determine the capacity of each reservoirs (how much liquid one reservoir can contain) - which is equal to the volume.
The formula to calculate the volume of a circular cylinder is:
- <em>Volume of cylinder = Area of base x Height </em>
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The base of this cylinder is a circle with radius equal to 4 feet. ()
=> The are of the base is = = 3.14 x 4^2 = 50.24 feet square
=> The volume of cylinder = Area of base x Height
=> The volume of one cylinder = 50.24 x 10.5 = 527.52 Cubic foot
We have: 1 cubic foot = 28.317 liters
=> 1 liter = 1/28.317 cubic foot
=> 90000 liters equal to: 90000/28.317 = 3,178.303 cubic foot
The number of reservoirs needed to contain 90000 liters of liquid is:
3,178.303/527.52 = 6.025
=> So that it needs 7 reservoirs to store all 90000 liters of liquid.