Let x represent the length of the shorter leg.
Longer leg: 5x +19
Hypotenuse: 5x +20
Pythagorean theorem:
.. x^2 +(5x +19)^2 = (5x +20)^2
.. x^2 +25x^2 +190x +19^2 = 25x^2 +200x +20^2 . . . . . . eliminate parentheses
.. x^2 -10x -39 = 0
.. (x -13)(x +3) = 0
.. x = 13 . . . . . . . . . . leg lengths must be positive
The side length of the triangle are 13, 84, 85 feet.
Answer:
$22.22
Step-by-step explanation:
just divide 50 by 2.25
22.2222...
rounded to $22.22 or any other digits in your answer
Answer:
Step-by-step explanation:
Remember:
Answer:
10
Step-by-step explanation:
its 5+5
Answer:
RPM 1388.889
Horsepower 366.802
Step-by-step explanation:
We do not need to solve the equation for y = 0, which is nice. We can go directly to finding the maximum.
The maximum or minimum of ax^2+bx+c is always at x=-b/2a
with b = 25/45 and a = -1/5000 we get
x = -25/45 / (-2/5000) = 5/9 * 2500 = 12500/9 ≈ 1388.889
Now we only need to put that x into the equation (ideally in form of 12500/9 for accuracy) and we get the horsepower of ~366.802