A function f on [a, b] is called a step function if there exists a partition P = {a = u0 < u1 < ··· < cm = b} of [a, b]
1 answer:
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Answer:
14.86 knots.
Step-by-step explanation:
<em>Given that:</em>
The boats leave the port at noon.
Speed of boat 1 = 12 knots due east
Speed of boat 2 = 8 knots due south
At 2 pm:
Distance traveled by boat 1 = 24 units due east
Distance traveled by boat 2 = 16 units due south
Now, speed of boat 1 changes to 9 knots:
At 3 pm:
Distance traveled by boat 1 = 24 + 9= 33 units due east
Distance traveled by boat 2 = 16+8 = 24 units due south
Now, speed of boat 1 changes to 8+7 = 15 knots
At 5 pm:
Distance traveled by boat 1 = 33 + 2 9= 51 units due east
Distance traveled by boat 2 = 24 + 2 15 = 54 units due south
Now, the situation of distance traveled can be seen by the attached right angled .
O is the port and A is the location of boat 1
B is the location of boat 2.
Using pythagorean theorem:
so, the total distance between the two boats is 74.28 units.
Change in distance per hour =
Answer:
Step-by-step explanation:
Let, the number of cans collected by Shane = x.
So, the number of cans collected by Abha = x + 178.
Since, at least 2000 cans are required to be collected.
Thus, we have the inequality,
Number of cans by Shane + Number of cans by Abha ≥ 2000.
i.e.
i.e.
Thus, the required inequality is .