Answer:
The directional bearing of the boat is N 30º E
Step-by-step explanation:
Let 
, where 
is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat (
), measured in sexagesimal degrees, is determined by trigonometrical means:
(1)
If we know that 
and 
, then the directional bearing of the boat is:
In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).
Answer:
D
Step-by-step explanation:
Answer:
3.33 miles per hour
Step-by-step explanation:
3.33 miles per hour
Consider this option:
1. rule: Circle is the locus of the points which are on the same distance from the given point. Common view of the equation is: (x-a)²+(y-b)²=r², where r - the distance from the given point to the described locus, a&b - coordinates of the given point.
2. using item 1:
(x+2)²+(y-1)²=3² or (x+2)²+(y-1)²=9.
We are given : Cost of a gallon of milk = $2.50.
Cost of a cup of yogurt = $1.20.
Total money Monica has = $20.
Number of cups of yogurt Monica can buy = x.
And inequality made is also correct
1.20x + 2.5 ≤ 20.
Now, we need to solve it for x.
Subtracting 2.5 from both sides, we get
1.20x + 2.5 -2.5 ≤ 20 - 2.5.
1.20x ≤ 17.5
Dividing both sides by 1.20, we get
1.20x/1.20 ≤ 17.5/1.20.
x ≤ 14.5833...
Because it's less than 15, so final answer is : 14 is greatest number of cups of yogurt Monica can buy.
