Answer:In general, if the pyramid has 'x' sides, then it will have 'x' lateral faces. Total Number of Faces = Number of Base Faces + Number of Lateral Faces. Total Number of Faces = 2 + x. So the formula is F=x%2B2 where "x" is the number of sides that the pyramid has and "F" is the total number of faces.
Step-by-step explanation:
Answer:
the rate of precession is 0.041 rad/s
Step-by-step explanation:
given information:
radius, R = 50 cm= 0.5 m
disk length, d = 11 cm, r = 5.5 cm = 0.055
angle, θ = 30°
angular velocity of the disk, ω = 1000 rev/min = 1000 2π/60 =
rate precession, Ω
Ω = m g r / I ω
where
m = mass
g = gravitational force
r = the radius of the center disk
I = inertia
ω = angular veocity
I =
Ω = (m g r )/ ( ω)
= 2 g r / ( ω)
= 2 x 9.8 x 0.055 / ( 104.7)
= 0.041 rad/s
Answer:
10a^2b^3−8a^3b^3+12a^2b^5−8ab^4
Step-by-step explanation:
Answer:
Option A: 12
Step-by-step explanation:
From the image of the triangle given, we can see that:
XM = ZM
We are given that:
XM = 2x + 2 and ZM = 4x - 8
Thus;
2x + 2 = 4x - 8
Rearrange to get;
4x - 2x = 8 + 2
2x = 10
x = 10/2
x = 5
Thus, XM = 2(5) + 2
XM = 12
Answer:
Third option is correct.
Step-by-step explanation:
The given model is
Where, h(t) is heigth of rock after time t (in seconds).
The initial height of rock is 124 ft.
The leading coefficient is negative. It means it is a downward parabola.
First we have to the x-intercepts of the function.
Using quadratic formula, we get
and
It means rock remains in the air between .
The value of t can not be negative, therefore rock remains in the air between .
Third option is correct.