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>.
Start by making x the subject in the equation
take -6 to the left hand side of the equation
x = -3 + 6
-3 + 6 = 3
therefore the value of x = 3
Answer:
Step-by-step explanation: To write two triangles are congruent you need to draw three lines. So, (first triangle) an equals sign with one extra line underneath and then the last triangle.
Divide by the coefficient of y.
y = (45/9)x
y = 5x
The constant of proportionality is 5.
1. True: the absolute value works exactly in this way: it turns negative numbers into their positive counterpart (e.g.: |-3|=3), and it does nothing on positive numbers (e.g.: |10|=10). So, the absolute value of a negative number will always be a positive number.
2. True (see above)
3. False: for example, you can pick -100 and 30. Their absolute value is 100 and 30, and 100>30. So, the absolute value of a negative number is greater the absolute value of a positive number.