Answer:
- The other leg is 82 units
------------------------
Given:
- a = 19,
- c =
, - b = ?
Find the missing leg, using Pythagorean:
- a² + b² = c²
- 19² + b² = 7085
- 361 + b² = 7085
- b² = 7085 - 361
- b² = 6724
- b =

- b = 82
Answer and Step-by-step explanation: <u>Law</u> <u>of</u> <u>deduction</u> is a mathematical logic that states the following:
1) If p happens, then q happens;
2) p is true;
Then, a there is a third statement that is
3) q is also true.
In this question,
If a polynomial is prime, then it cannot be factored.
Statement p is that 5x + 13y is a polynomial and is prime, i.e., p is true.
Statement q is that "it cannot be factored"
Therefore, 5x + 13y cannot be factored.
706.5 cubic feet of water should be put in the pool.
Step-by-step explanation:
Given,
The circumference of swimming pool = 157 feet.
The depth of the pool = 6 feet.
For safety purpose
th of its height water is there.
To find the amount of the water should be there.
Formula
The volume of the pool = circumference×height
Now,
The height(h) of the water is = 6×
ft =
ft
So, the volume of the pool = 157×
cubic feet
=
cubic feet = 706.5 cubic feet.
Hence,
706.5 cubic feet of water should be put in the pool.