In general, you're calculating the magnitude of average velocity. In fact, speed is a vector, and as such it also has a direction and orientation.
So, if you compute the average speed, you're assuming that you went directly from point A to point B, which is basically never the case.
If, instead, you actually moved on a straight line from point A to point B, then the two quantities are the same.
Answer: D:{8,-6,2,0}: R:{5,-9,5,-8}
Explanation:
The domain is x and the range is y, so I'll go through each coordinate;
(8,5) domain=8; range=5
(-6,-9) domain=-6; range=-9
(2,5) domain=2; range=5
(0,-8) domain=0; range=-8
So the answer is D:{8,-6,2,0}: R:{5,-9,5,-8}
Wow this is a doozy! First you have to figure out what is it you are looking for? If you make a dot in the center of the triangle (which is also the center of the circle) and draw a line from the center to one of the vertices of the triangle you have the radius of the triangle and also of the circle. If you draw all 3 radii from the triangle's center to its vertices, you see you have created 3 triangles within that one triangle. The trick here is to figure out what your triangle measures are as far as angles go. If we take the interior measures of those 3 triangles, we get that each one has a measure of 120 (360/3=120). So that's one of your angles, the one across from the side measuring 6. Because of the Isosceles Triangle theorem, we know that the 2 base angles have the same measure because the sides are the same. Subtracting 120 from 180 gives you 60 which, divided in half, makes each of those remaining angles measure 30 degrees. So if we extract that one triangle from the big one, we have a triangle with angles that measure 30-30-120, with the base measuring 6 and each of the other sides measuring 5. If we then split that triangle into 2 right triangles, we have one right triangle with measures 30-60-90. Dropping that altitude to create 2 right triangles not only split the 120 degree angle at the top in half, it also split the base side of 6 in half. So our right triangle has a base of 3 and we are looking for the hypotenuse of that right triangle. WE have to use right triangle trig for that. Since we have the top angle of 60 and the base of 3, we can use sin60=3/x. Solving for x we have x=3/sin60 which gives us an x value of 3.5 inches rounded from 3.464. I'm not sure what you mean by a mixed number unless you mean a decimal, but that's the radius of that circle.
There would be 41 1/4 turns in 2 1/2 inches of threads.
Given, number of turns a bolt has = 16 1/2 turns per inch.
per inch bolt turns = 16 1/2 =33/2
how many turns would be there in 2 1/2 inches of threads = ?
Threads Per Inch, or TPI, is a measure of how many threads are found in one inch along a fastener's length. American fasteners are the only ones that employ TPI. Typically, the thread count is higher for smaller fasteners since they have finer threads. Just as the name implies, the Threads Per Inch (TPI) refers to the number of threads that run the length of a screw for one inch. The TPI of a screw can be easily calculated by simply counting the threads and dividing the total length.
so, 5/2 inches bolt turns =33/2 x 5/2
=165/4
hence 41 1/4 turns
Therefore, 2 1/2 inches of threads have 41 1/2 turns.
Learn more about Conversions here:
brainly.com/question/16851332
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