Answer:
Therefore the work done is 640 ft pound.
Step-by-step explanation:
Given that, a heavy rope 40 ft long, weighs 0.8 lb/ft.
Force = weight.
Let we pull x ft. Then the remain rope = (40-x)ft.
(40-x) ft it is variable.
The weight of (40-x) ft is =(40-x)0.8 lb
∴ Force =(40-x)0.8 lb
Work done = Force × displacement
= (40-x)0.8 Δx [ displacement = Δx]
Therefore ΔW =(40-x)0.8 Δx
Since total rope is pulling up on the top of the building. Total displacement = 40 ft.
Total work done 
![=[32x-\frac{0.8x^2}{2}]_0^{40}](https://tex.z-dn.net/?f=%3D%5B32x-%5Cfrac%7B0.8x%5E2%7D%7B2%7D%5D_0%5E%7B40%7D)
![=[(32\times 40)-0.4(40)^2]](https://tex.z-dn.net/?f=%3D%5B%2832%5Ctimes%2040%29-0.4%2840%29%5E2%5D)
=640 ft pound.
Therefore the work done is 640 ft pound.
Answer:40 min
Step-by-step explanation:
5+.10x=3+.15x
-.10. -.10
5= 3+.05x
-3. -3
2=.05x
Divide by .05
X=40
Answer:5/5 then 10-7 then 6/2
Step-by-sanation:
Answer: Approximately 30.4 degrees
=========================================================
Work Shown:
324 - 1.6 = 322.4 is the height of the right triangle. This is the opposite side compared to the angle theta.
The adjacent side is 550 since it is the leg closest to the angle theta.
We'll use the tangent rule to connect the two sides
tan(angle) = opposite/adjacent
tan(theta) = 322.4/550
theta = arctan(322.4/550)
theta = 30.3780566013696
theta = 30.4
Your teacher didn't provide any rounding instructions, but I rounded to one decimal place since the value 1.6 is to one decimal place.
Answer:
if we take the total cost of the grapes, and divide by the number of pounds of grapes we can conclude that each pound of grapes costs $3. so 5 pounds of grapes multiplied by $3 per pound, gives us $15 for 5 pounds of grapes.
