Answer:
The height of the plank after the π/3 rotation motion is 8.464 ft
Step-by-step explanation:
The radius of the wheel = 4 ft
The elevation of the bottom of the wheel from the bottom = 1 foot
The angle to which the wheel is rolled = π/3 radians
The height of a rotating wheel is given by the following relation
f(t) = A·sin(B·t + C) + D
Where;
D = Mid line = 4 + 1 = 5 feet
B·t = π/3
C = 0
A = The amplitude = 4
Which gives;
f(t) = 4×sin(π/3) + 5 = 8.464 ft
The height of the plank after the π/3 rotation motion = 8.464 ft.
Answer:
4.79 g
Step-by-step explanation:
mass of salicylic acid = ??
Mass of polyethylene = 75 g
% w/w concentration = 6% w/w
Let the mass of salicylic acid be x
Let the mass of solution = 75 + x
from
% w/w = mass of solute/ mass of solution * 100
Hence concentration of salicylic is;
6 = (x/75 + x) * 100
6/100 = x/75 + x
0.06 (75 + x) = x
4.5 + 0.06x =x
4.5 = x-0.06x
x = 4.5/0.94
x= 4.79 g
Answer:
50 mph, 62 mph
Step-by-step explanation:
Their total speed is found from ...
speed = distance/time
speed = (364 mi)/(3.25 h) = 112 mi/h
If s is the speed of the slower car, then ...
s + (s+12) = 112 . . . . . their total speed is 112 mph
2s = 100 . . . . . . . . . . simplify, subtract 12
s = 50 . . . . . . . the speed of the slower car
s+12 = 62 . . . . the speed of the faster car
Answer:
Step-by-step explanation:
The first step is to determine the areas of the inner and the bigger circles.
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
Considering the inner circle,
diameter = 148.4 cm
Radius = 3 inches
Area = 3.14 × 3² = 28.26 inches²
Considering the bigger circle,
Radius = 7 inches
Area = 3.14 × 7² = 153.86 inches²
The area between the bigger and inner circles is
153.86 - 28.26 = 125.6 inches²
Probability = number of favourable outcome/number of total outcome.
the probability you land inside the bigger circle but outside smaller circle is
125.6/153.86 = 0.82
