Answer: 8.73 ft/s
Step-by-step explanation:
We have the following equation that models the motion of the rock:
Where 
is the height of the rock at a time 
.
Now, if 
we can find and then the velocity of the rock at that height:
Rearranging the equation:
Multiplying the equation by -1:
Solving with the quadratic formula 
, where 
, 
, 
.
Choosing the positive result of the equation:
Since velocity 
is defined as the traveled distance in a given time , we have:
This is the velocity of the rock at the height of 48 feet
Answer:
1. 167.55
2. 10.77
Step-by-step explanation:
For #1 use the formula for volume of cone: 
, and for #2 use the Pythagorean Theorem: 
-2x+9. just distribute a -1
Answer:
1. The volume of the pile is 4,399.7719 m^3
2. The number of sanders to be filled from a pile is 638
Step-by-step explanation:
Here, we firstly would calculate the volume of the pile
Mathematically, that will be;
V = 1/3 * pi * r^2 * h
from the question, h = 14.2
Mathematically, r = d/2
r = 34.4/2 = 17.2 m
So the volume will be:
V = 1/3 * 3.142 * 17.2^2 * 14.2
V = 4,399.7719 m^3
To find the number of sanders to be filled,
we simply divide the volume obtained by the volume a sander can take
That will be;
4,399.7719/6.9
= 637.6 which is 638
Answer:
x= -120
Step-by-step explanation:
-x/6+6+6=32
- Use -a/b=a/-b= -a/-b to rewrite the fraction.
- -x/-6+6+6=32
- Add the two 6's then you get 12
- -x/-6+12=32
- Multiply both sides with the equation by 6
- -x+72=192
- Move the constant to the right-hand side and change its side
- -x=192+72
- Subtract the numbers, -x=192-72
- -x=120
- Change the signs on both sides of the equation
- You have your answer it is x= -120
