Answer:
Step-by-step explanation:
The product of distances to the circle along a secant is the same for all secants intersecting a given point.
a. Secants SW and QT intersect at U. Thus ...
(UT)(UQ) = (US)(UW)
(1.5)(4) = (SU)(3)
SU = (4)(1.5)/3
SU = 2
__
b. Secants PT and PX intersect at P. Thus ...
(PQ)(PT) = (PR)(PX)
PX = (PQ)(PT)/PR) = (2.5)(2.5 +4 +1.5)/3 = 20/3
PX = 6 2/3
Answers:
- Distance = 20 meters
- Displacement = 4 meters North
=================================================
Explanation:
To find the distance traveled, we add the two values to get 8+12 = 20 meters.
------------
For the displacement, I recommend drawing a vertical number line. Mark the values 0, -8 and 4 on the number line. Going from 0 to -8 represents going 8 meters south. From -8, move up 12 units and you should arrive at 4 on the number line, which represents being 4 meters north of the original position 0. The displacement only cares about the start and end points, more specifically, the change between the two. The direction is also important for the displacement.
In other words, Michael started at 0, did a bunch of movements, and ended up at 4 on the number line. So we can simplify all those movements to one single movement of "move north 4 meters" to represent the displacement.
As you can see, it's possible to get a displacement of 0 meters, which is not the case for the distance traveled in the previous section.
Step-by-step explanation:
We start by applying the Pythagorean theorem to the ladder, with its length L as the hypotenuse:
where x is the vertical distance from the top of the ladder to the ground and y is the horizontal distance from the bottom of the ladder to the wall. Taking the derivative of the above expression with respect to time, we get
Solving for dx/dt, we get
We know that
when x = 6 ft. So the rate at which the top of the ladder is going down is
The negative sign means that the distance x is decreasing as y is increasing.
The answer is b this is the
Correct answer
Answer:
30 Cubic Inches would be your answer.
Step-by-step explanation:
