Answer:
Explanation:
12 + 22 + 11 = 45
There are 45 atoms, and there are three elements: C, H, and O.
Answer: B. A light in a swimming pool comes on after dark to prevent
accidents in the water.
Horizontal component:
x(t) = 5t + 6t²
x(5) = 25 + 6(25) = 175 m
Vertical component:
y(t) = 7 - 3t³
y(5) = 7 - 3(125) = -368 m
Components combined:
r(5) = (175 m) i - (368 m) j
Taken relative to the point r(0) = (0 i + 7 j) m ,
the displacement vector when t=5 is
(175 m) i - (375 m) j .
Its magnitude is √(175² + 375²)
= √(30,625 + 140,625)
= √171,250 = 413.823... m (rounded)
Its direction is tan⁻¹(-375/175) = tan⁻¹(-2.14285...) = - 64.98°
Answer:
315 mi is the answer.
Explanation:
speed (s) = 70mph
time (t) = 4.5 hours
distance (d) = speed × time
d = 70 × 4.5
d = 315
∴ distance will be 315 mi.
Answer:
The magnitude and direction are
7.638×10-4m
80.01°
Explanation:
We know that the coefficient of linear expansion for copper = 16.6×10^-6 m/m-C
ΔT = 40.2 - 18.0 = 28.5 C°
The expansion of horizontal pipe length can be calculated as
= (0.28)(16.6×10^-6)(28.5) = 13247×10^-8
= 0.0001325 m
The expansion of vertical pipe length = (1.28)(16.6×10^-6)(28.5) = 60557×10^-8 = 0.000752229 m
horizontal displacement = 0.1325 mm
= 1.356×10^-4m
vertical displacement = 0.75223mm
=7.5223×10-4m
size of total displacement can be calculated as
√(x²+y²)
Where x and y are vertical and horizontal displacement respectively
= √(0.1325)²+(0.75223)² =
= 0.7638 mm
= 7.638×10-4m
Angle below horizontal = arctan Θ
= 0.75223/0.1325
=5.6772
= arctan (5.6772)
= 80.01°
Therefore, the the magnitude and direction of the displacement of the pipe elbow when the water flow is turned at (7.638×10-4m) 0.7638 mm and 80.01°