Decompose each velocity in its i and j - coordinates.
1) River's velocity
3.5 m/s, west fo east = 3.5i + 0j
2) Luke's velocity
5m/s, 60° east of north
5* sin(60°) i + 5*cos(60°) j = 4.33 i + 2.5 j
3) Resultant velocity
[3.5i + 0j] + [4.33i + 2.5j] = 7.83i + 2.5j
resultant speed = √[ (7.83)^2 + (2.5)^2 ] = 8.22 m/s
angle = arctan(2.5 / 7.83) = 17.7° north of east (equal to 72.3° east of north).
Answer: 20,532
Step-by-step explanation:
17,400(.02)=348
348(9)=3132
17,400+3132=20,532
Answer: $30,904.49
Step-by-step explanation:
I’m not sure if I did this right but it was the same was as the other question
cylinder:
V = πr²h
V = 3.14(2)² * 3
V = 3.14(4) * 3
V = 3.14(12)
V = 37.7m³
rectangular prism:
V = lwh
V = (2.4)(9)(5)
V = 108m³
the entirety of the sculpture:
V = volume of cylinder + volume of rectangular prism
V = 37.7 + 108
<u>V = 145.7m³</u>
First solve for g(1)
Plug in 1 for the equation g(x)
g(1) = -(1) + 4
g(1) = 3
Now plug 3 in for f(x)
f(3) = 3(3)^2 + 4(3) + 1
f(3) = 3(9) + 12 + 1
f(3) = 27 + 12 + 1
f(3) = 40
Solution: f(g(1)) = 40