Aconvertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. how many complete revolutions do
the wheels make in one minute?
rev/min

w=15.7 rpm

Step-by-step explanation:

Lets remember the link between angular movement and linear movement.

w*R=S

Where S=Speed (Linear movement), w= Angular movement, R is the radio of the rotating object.

To make sense of what we are going to do, lets start by using the same system units, Ill go for inches.

S= 45 miles/h= 45*6330 in/h=284850 in/h.

Now lets use minutes instead of h for S.

S=284850 in/h= 284850 in/60 min=4747.5 in/min

It the diameter of the wheels is 48  in, then, the angular speed is:

4747.5 in/min= w* 48 IN.

Hence. w=98.9 rad/min.

To obtain the same value in rpm (revolutions per minutes) lets divide the above by 2pi

w=15.7 rpm

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.