Answer:
<em>Direction of the boat is 43.05° and the speed is 21.66 knot</em>
<em></em>
Step-by-step explanation:
yacht speed = 20 knots
yacht bearing = 185° = 85° below the negative horizontal x-axis
wind speed = 15 knots
wind bearing = 290° = 20° above the negative horizontal x-axis
we find the x and y components of the boat velocities
for yacht,
x component = -20 cos 85° = -1.74 knots
y component = -20 sin 85° = -19.92 knots
for the wind,
x component = -15 cos 20° = -14.09 knots
y component = 15 sin 20° = 5.13 knots
total x component Vx = -1.74 + (-14.09) = -15.83 knots
total y component Vy = -19.92 + 5.13 = -14.79 knots
Resultant speed of the boat = 
==> 
= <em>21.66 knot</em>
<em></em>
direction of boat = 
==> 
= <em>43.05°</em>
A similar because all triangles add up to 180 ,
they both have 80 so leaves 100 degrees left..
and they both have the same #'s 80, 60, & 40 degrees equal to 180 degrees
We always start from right side in order of operation in any equation
we can set up equation as
step-1:
x divided by three
we can write as
step-2:
six more than x divided by three
so, we get
step-3:
y is six more than x divided by three
so, we get
and this is in y=mx+b form
so, we have
...............Answer
Answer:
Dalton spent 6 years and 11 months in high school.
Step-by-step explanation:
Dalton were in high school at the age = 11 years and 3 months He left high school at the age = 18 years and 2 months
Time spent by Dalton in high school = 18 years 2 months - 11 years and 3 months
= (18 - 11) years and (2 - 3) months
= 7 years - 1 month
= (6 + 1) years - 1 month
= 6 years + 1 year - 1 month
= 6years + 12 months - 1 month
= 6 years + 11 months
Therefore, Dalton spent 6 years and 11 months in high school.
