Answer:
Angle = Ф =
(0) = 0
Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.
Step-by-step explanation:
Given vector r(t) = 
As we know that,
velocity vector = v = 
Implies that
velocity vector = 
As acceleration is velocity over time so:
acceleration vector = a = 
Implies that
vector a =

vector a = 
Now scalar product of position vector r and acceleration vector a:
r. a = 
r.a = 
r.a = 0
Now, for angle between position vector r and acceleration vector a is given by:
cosФ =
= 
Ф =
(0) = 0
Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.
I believe x is 30 degrees.
The equilateral triangle has each angle equal to 60 degrees. So the small arc near x is also 60. The angle x is half the arc so would be 30.
This also makes sense because the triangle it forms with angle x and the center has center angle of 60 and angle formed by tangent and radius of 90. So it is a 30-60-90 triangle, making angle x 30.
Answer:
Length = 14.6667
Width = 9.33333
Step-by-step explanation:
let the length be x
Width = (x/2)+2
Perimeter = 2(L+W)
Perimeter = 2(x+(x/2+2)) =48
2[(3/2)x + 2] =48
3x+4= 48
3x = 44
x =14.666667
width = (14.666667/2)+2
Width = 9.333333
<em>PLEASE RATE BRAINLIEST</em>
Step-by-step explanation:
- A(2,4)=A'(-4,-2)
- B(-3,-5)=B'(5,3)
- C(2,-3)=C'(3,-2)
- D(-4,9)=D'(-9,4)
- E(10,4)=E'(-4,-10)
- F(-1,-7)=F'(7,1)
- G(-4,8)=G'(-8,4)
- H(-4,-5)=H'(5,4)
- J(-7,-2)=J'(2,7)
- K(0,9)=K'(-9,0)
- L(0,-3)=L'(3,0)
- M(-5,0)=M'(0,5)
- l(1,-8)=l'(8,-1)
- N(2,0)=N'(0,-2)
<h2>stay safe healthy and happy.</h2>
The answer is 43.2 Hope this helps!