Answer:
v = 15/7, or 2.14
Step-by-step explanation:
Find a common denominator, or multiply both denominators by each other, and well as the numerator.
v/5 = 3/7 can be written as 7v/35 = 15/35
multiplying both sides with 35, we are left with 7v = 15
v = 15/7, or 2.14
Answer:
look at the picture above
let L = length and let W = width.
Use the equations 2L + 2W = 2750
and L = 5W + 15
Then do the steps as follows -
1. Plug the equation for what L equals into the first equation
2(5W+15) + 2W = 2750
2. Then distribute the 2
10W + 30 + 2W = 2750
3. Then add like terms
12W + 30 = 2750
4. Then subtract 30 from both sides
12W = 2720
5. Divide by 12 on both sides
W = 226.67
6. Then plug that into the second equation
L = 5(226.67) + 15
L = 1148.35 should be the answer
3y + 7y = 11y - 4y = 7y -6
Answer: 7y - 6
:) I think this may be correct
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>