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>
Answer:
500 and 5,000
Step-by-step explanation:
The value of the first 5 is five hundred (500)
The value of the second is five thousand (5,000)
Answer:
First type of fruit drinks: 48 pints
Second type of fruit drinks: 32 pints
Step-by-step explanation:
Let's call A the amount of first type of fruit drinks. 55% pure fruit juice
Let's call B the amount of second type of fruit drinks. 80% pure fruit juice
The resulting mixture should have 65% pure fruit juice and 80 pints.
Then we know that the total amount of mixture will be:
Then the total amount of pure fruit juice in the mixture will be:
Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:
+
--------------------------------------
We substitute the value of A into one of the two equations and solve for B.
Answer:
18/5
Step-by-step explanation:
Answer:
Then the answer is C
Step-by-step explanation:
1) Set a linear equation
2) Cross multiply
3) Multiple the right side
4) Divide both side by 2
5) Solving the linear equation
The answer is (C)
