Answer: v = 793.77 mph
Step-by-step explanation: Linear speed of a circular movement is calculated by using the formula:
v = ω.r
where
ω is angular velocity
r is radius of the path
<u>Angular</u> <u>velocity</u> is the rate of change of the angular position of an object with respect of time, i.e., is how fast an object changes its angular position with time:

The Earth takes 24 hours to complete a rotation, then angular velocity:

0.262 rad/h
At a location 40° north, radius is 3033.5 miles, so:
v = 0.262*3033.5
v = 793.77
<u>At latitude of 40°north, linear speed is </u><u>793.77mph</u>.
Answer:
A Subtract 6 from 27 then divide by 3
Step-by-step explanation:
3B + 6 = 27
3B = 21
B = 7
so you subtract 6 from 27, then divide by 3
Answer:
(x, y) = (-6, -4)
Step-by-step explanation:
The solution can be found quickly using a graphing calculator. It is the point of intersection of the two lines.
_____
If you like, you can solve the system algebraically. The second equation can be rewritten to give ...
y = x +2
Substituting this into the first equation gives ...
5/3x -2(x +2) = -2
-1/3x -4 = -2
Adding 4 and multiplying by -3 gives ...
x = -3(-2+4) = -6
Then our equation for y tells us ...
y = -6 +2 = -4
The solution is (x, y) = (-6, -4).
There is a formula for this. (see attached)
Time = 3 * 4 / (3+4)
Time = 12 / 7
Time = <span>
1.714286
</span>
Time = <span>
1.7 (rounded)
</span>