Answer:
5√3 miles per hour
Step-by-step explanation:
Throughout their journey, the component of velocity of rowboat B to the east is the same as that of rowboat A:
(10 mph)(cos(π/3)) = 5 mph
Meanwhile, the component of velocity of rowboat B to the north is ...
(10 mph)(sin(π/3)) = 5√3 mph
Since rowboat A is always traveling in a direction that is at right angles to the direction between the boats, it contributes nothing to their relative speed. Since rowboat B is always directly north of rowboat A, its speed to the north is their relative speed.
The distance between the rowboats is increasing at 5√3 mph ≈ 8.66 mph.
Answer & Explanation:
A transversal is a line that intersects two or more coplanar lines at different points. Two angles are corresponding angles if they occupy corresponding angles. Two angles are alternate exterior angles if they lie outside the two lines on opposite sides of the transversal.
Answer:
First, two lines are perpendicular if one has slope m, and the other has slope -1/m (Not 1m as Alan says)
That is the first error of Alan.
Now, there is another error.
If m = 0, then -1/m tends to minus infinity (in this case we would have a vertical line).
But we can not really divide by zero, so we should state that:
m can not be zero, if a line is horizontal, the perpendicular line must be vertical.
• The ball is at the same height as the building between 8 and 10 seconds after it is thrown. TRUE - the height is zero somewhere in that interval, hence the ball is the same height from which it was thrown, the height of the roof of the building.
• The height of the ball decreases and then increases. FALSE - at t=2, the height is greater than at t=0.
• The ball reaches its maximum height about 4 seconds after it is thrown. TRUE - the largest number in the table corresponds to t=4.
• The ball hits the ground between 8 and 10 seconds after it is thrown. FALSE - see statement 1.
• The height of the building is 81.6 meters. FALSE - the maximum height above the building is 81.6 meters. Since the ball continues its travel to a distance 225.6 meters below the roof of the building, the building is at least that high.
1. TRUE
2. False
3. TRUE
4. False
5. False