Answer:
The distance between the ships is changing at 42.720 kilometers per hour at 4:00 PM.
Step-by-step explanation:
Vectorially speaking, let assume that ship A is located at the origin and the relative distance of ship B with regard to ship A at noon is:
Where and are the distances of ships A and B with respect to origin.
By supposing that both ships are travelling at constant speed. The equations of absolute position are described below:
Then,
The rate of change of the distance between the ship is constructed by deriving the previous expression:
Its magnitude is determined by means of the Pythagorean Theorem:
The distance between the ships is changing at 42.720 kilometers per hour at 4:00 PM.
Answer:
112 candies
Step-by-step explanation:
Start from the end.
Joe gave 25% of the remaining candies to his sister and has 21 candies left. Then
Write a proportion:
Joe gave 7 candies to his sister, so before this he had 21 + 7 = 28 candies.
He gave 4/6 of what he had left to his brother when he went home, so 2/6 of all his candies left ot him. Hence,
Write a proportion:
Joe gave 56 candies to his brother, so Joe had 28 + 56 = 84 candies when he went home.
Joe gave 1/4 of his total candies to his classmates, so 3/4 of his candies left to him. So,
Write a proportion:
Therefore, initially, Joe had 28 + 84 = 112 candies.
64, 71, 70, 68, 71, 75, 66, 65, 71, 68, 60<br>Range:
tatuchka [14]
Answer:
11
Step-by-step explanation:
71-60=11
Answer:
3 groups of 5 sopranos and 12 altos
Step-by-step explanation: