Answer:
Step-by-step explanation:
We can write the following system of equations:
Adding both equations together, we isolate 
and get:
Plugging 
in any of the equations, we can solve for 
:
Verify that the solution pair 
works 
Therefore, the two numbers are 
.
Answer:
h = 60 ; x = 25
Step-by-step explanation:
You are going to want to use Pythagorean Theorem to solve these.
Pythagorean Theorem: a² + b² = c²
h² + 144² = 156²
h² + 20736 = 24336
h² = 3600
h = 60
x² + 60² = 65²
x² + 3600 = 4225
x² = 625
x = 25
$995.9....................... (ignore the dots)
Answer:
2580 ft-lb
Step-by-step explanation:
Water leaks out of the bucket at a rate of 
Work done required to pull the bucket to the top of the well is given by integral
Here, function 
is the total weight of the bucket and water feet above the bottom of the well. That is,
is the initial height and 
is the maximum height of well. That is,
Find the work done as,
![&\left.=46x-0.05 x^{2}\right]_{0}^{60}](https://tex.z-dn.net/?f=%26%5Cleft.%3D46x-0.05%20x%5E%7B2%7D%5Cright%5D_%7B0%7D%5E%7B60%7D)
Hence, the work done required to pull the bucket to the top of the well is 
9514 1404 393
Answer:
b. -150
Step-by-step explanation:
We usually take elevation to be positive above sea level, and negative below sea level. If the elevation is below sea level, it is negative. If it is within 200 ft of sea level, the magnitude of the negative number is 200 or less. That is, the elevation must satisfy ...
-200 ≤ elevation < 0
The only answer choice in that range is -150.
Ethan's elevation in feet could be -150.
