Answer:
30°
Step-by-step explanation:
Remember, all the interior angles of a triangle add up to 180 degrees. Therefore, we can find the value of x by subtracting the values of the other angles from 180:
Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return tr
2 answers:
Answer:
Step-by-step explanation:
Given: Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return trip, it takes 5 hours.
Clearly , it can be seen that when boat travels with current , it takes competitively less time.
i.e. the speed of the boat would increased by the current.
If x = the rate of the boat in still water and y = the rate of the current, then the expressions represents the rate of the boat going with the current will be :-
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Answer:
y²=4√2.x
Step-by-step explanation:
The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.
The distance between the focus and the directrix of the parabola P is
=
{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by }
Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax
{Since the parabola has vertical directrix}
Hence, the distance between focus and the directrix is 2a = , {Two parabolas are congruent when the distances between their focus and the directrix are same}
⇒ a=√2
Therefore, the equation of the parabola is y²=4√2.x (Answer)
Answer:
Average speed = 4 mph
Step-by-step explanation:
Given as
Total distance to travel = 6 mile
now, for first 2 mile the avg speed = 6 mph
for next 2 mile the avg speed = 4 mph
and for rest 2 mile the avg speed = 3 mph
so, the average speed of the Richard =
Total Avg speed =
Or, = ×12
= 4
So the total Average speed = 4 mph (Answer)