Answer:
Width of the rectangular prism
It is given to us that the volume of the rectangular prism is calculated by the given formula :-
v = lwh
Where,
v = volume
l = length
w = width
h = height
Now,
In the question we are given :-
v = 138.24 cubic inches
h = 9.6 inches
l = 3.2 inches
w = ?
Substitute these values in the volume formula given :-
138.24 = 3.2 * w * 9.6
138.24 = 30.72 * w
w = 138.24/30.72
w = 4.5
⇒ The width of the rectangular prism is 4.5 inches.
<h2>
Answer:</h2>
The average speed of car is:
0.75 miles per minutes.
The equation of line is:

<h2>
Step-by-step solution:</h2>
The table that describes the time and number of miles marked is given by:
Time Miles
0 0
4 3
8 6
Clearly we could observe that with the increase in time by every 4 minutes the number of mile increases by 3.
i.e. the average speed is calculated as the ratio of change in miles to the change in time.
Hence,

Hence, the average speed=0.75 miles per minutes.
Also we will find the equation of the lines that related the miles and time by using the two-point formula.
i.e. any line passing through (a,b) and (c,d) is calculated by using the formula:

Here (a,b)=(0,0) and (c,d)=(4,3)
i.e. the equation is given by:
Answer:
D. StartFraction negative 1 + StartRoot 3 EndRoot Over 2 EndFraction
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator. Then the denominator is the difference of squares, which will be rational. This simplification is called "rationalizing the denominator."

Answer:
all of the sides are 18 units
Step-by-step explanation: