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:
Every point on a horizontal line has the same y-value. Use the y-value of the point to find the equation of the horizontal line.
y=4
Answer:
The slope of the two points is 2.
Hey there!
2(x - 3) / y = 5
2(x - 3) / 5 = 5
2(x) + 2(-3) / 5 = 5
(2x - 6) 5 = 5
MULTPLY 5 to BOTH SIDES
(2x - 6)/5 * 5 = 5 * 5
SIMPLIFY IT!
2x - 6 = 5 * 5
2x - 6 = 25
ADD 6 to BOTH SIDES
2x - 6 + 6 = 25 + 6
SIMPLIFY IT!
2x = 25 + 6
2x = 31
DIVIDE 2 to BOTH SIDES
2x/2 = 31/2
SIMPLIFY IT!
x = 31/2
x = 15 1/2
Therefore, the answer should be:
x = 15 1/2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Sn=A1(1-r^n)/(1-r)
Sum of a finite geometric series formula
We know the sum, number of terms and rate, so you plug those in.
-255=A1(1-(-4)^4))/(1-(-4)
-255=A1(1-256)/5
-255=A1(-255)/5
-1275=A1(-255)
5=A1
Hope this helped! Let me know if you have any questions.