Answer:6060 foot-pounds
Step-by-step explanation:
Given
Weight of cable(w')=0.6 pound per foot
depth of well=60 foot
weight of wrench=7 Pound
Now work done in raising monkey with wrench
foot-pounds
Now work done in raising rope
robot rises by climbing up the cable with one end of the cable still attached thus robot support half the weight of cable so work done
foot-pounds
foot-pounds
9514 1404 393
Answer:
a) V = 4w²h
b) SA = 4w² +10wh
c) SA = 4w² +37.5/w
d) C = 40w² +225/w
Step-by-step explanation:
The relevant formulas are ...
V = LWH
base area = LW
lateral area = H(2(L+W))
__
a) The length is 4 times the width, so the volume is ...
V = (4w)(w)(h)
V = 4w²h
__
b) The total surface area is the sum of the base area and the lateral area:
SA = base area + lateral area
SA = (4w)(w) + 2h(4w +w)
SA = 4w² +10wh
__
c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...
15 = 4w²h
h = 15/(4w²)
Then the surface area is ...
SA = 4w² +10w(15/(4w²))
SA = 4w² +37.5/w
__
d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:
C = 10(4w²) +6(37.5/w)
C = 40w² +225/w
Answer: x = 1
Step-by-step explanation:
5 ( 2x - 8 ) + 15 = -15 (write the equation)
5 ( 2x - 8 ) = -30 (subtract by 15 on both sides)
2x - 8 = -6 (divide by 5 on both sides)
2x = 2 (add 8 to both sides)
x = 1 (divide by 2 on both sides)
Answer:
EF = 
≈ 5.83
Step-by-step explanation:
Calculate EF using the distance formula
d = 
with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)
EF = 
= 
= 
= ≈ 5.83 ( to 2 dec. places )
