Answer:
four, two
Step-by-step explanation:
1/2 of 4/3 is half of four thirds. Half of four is two, so it would be two thirds
<em>I hope this helps! :) </em>
Answer:

Step-by-step explanation:
combine by putting together
The coordinates of the rectangle are (-3,-1), (1,3), (3,1) and (-1,-3).
Draw the given rectangle as shown in the figure below.
Calculate the length of the rectangle as
a = √(4² + 4²) = 4√2
Calculate the width of the rectangle as
b = √(2² + (-2)²) = 2√2
Calculate the area of the rectangle as
A = a*b = (4√2) * (2√2) = 16
Answer: 16
Answer:
Perimeter = 42 cm.
Step-by-step explanation:
The 2 legs are equal in length as it is an isosceles trapezoid.
Area of trapezoid = (h/2)(a + b) where a and b are the parallel bases.
So
(5/2) (a + b) = 45
a + b = 45 * 2/5 = 18 cm.
We are given that the length of a leg (L) is 2/3 * sum of the bases, so:
L = 2/3(a + b)
= 2/3 * 18
= 12 cm.
The perimeter = a + b + 2L
= 18 * 2*12
= 42 cm.
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.