Answer:
The value is
Step-by-step explanation:
From the question we are told that
The weight of the bucket is
The depth of the well is
The weight of the water is
The rate at which the bucket with water is pulled is
The rate of the leak is
Generally the workdone is mathematically represented as
]
Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as
Here I is the rate of water loss in lb/ft mathematically represented as
=>
=>
So
=>
So
]
=>
=>
=>
It is both equations are equal to -0.076.
123 x 47 equals 5781. 123 x .47 equals 57.81. The difference is the decimal is moved to the tenth place in the second equation
1. 2*0.8 = 1.6 PQ = 1.6
2. arctan(14/12) = 49.4 degrees
3. 15 * cos(70) = 5.1 feet
4. x = 30 * cos(40) = 22.9813 = 23.0 miles
y = 30 *sin(40) = 19.2836 = 19.3 miles