1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fiesta28 [93]
3 years ago
13

5. A yacht is cruising at 20 knots at bearing of 185° when a 15 knot wind starts to blow at a bearing of 290°. Find the directio

n and speed of the boat.
Mathematics
1 answer:
kicyunya [14]3 years ago
3 0

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 = \sqrt{Vx^{2} + Vy^{2}  }

==> \sqrt{15.83^{2} + 14.79^{2}  } = <em>21.66 knot</em>

<em></em>

direction of boat = tan^{-1} \frac{Vy}{Vx}

==> tan^{-1} \frac{14.79}{15.83} = <em>43.05°</em>

You might be interested in
How to do all these shown
klasskru [66]

Answer:

\frac{5\pi} {18} =50degrees

40 degrees to radians is 0.698132rads

Step-by-step explanation:

7 0
3 years ago
Mars has m moons. The number of moons of Pluto is one more than twice the number of moons of Mars. The number of moons of Neptun
tigry1 [53]

Answer:

Neptune has 2 more than 6 times the number of moons on mars

Explanation:

neptune = 6m+2

mars has 'm' moons

pluto has one more than twice that of mars, = 2m+1

neptune is one less than thrice of pluto

= 3(2m+1) -1

= 6m+3 -1

= 6m+2

6 0
2 years ago
HELP DUE TODAY!!!!!!
larisa [96]

Answer:

x° is 66°  

Step-by-step explanation:

From the given diagram, we have;

∠JIH = 105° Given

∠IDJ = 39° Given

Therefore, we have;

∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line

∴ ∠JID + ∠JIH = 180° by definition of supplementary angles

∠JID + 105° = 180° by substitution property

∠JID = 180° - 105° = 75° by angle subtraction postulate

∠JID = 75°

∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle

∠IJD = 180° - (∠IDJ + ∠JID)  = 180° - (39° + 75°) = 66° angle subtraction postulate

∠IJD = 66°

∠x° ≅ ∠IJD, by vertically opposite angles

∴ ∠x° = ∠IJD = 66° by the definition of congruency

∠x° = 66°  

7 0
2 years ago
Read 2 more answers
Evaluated to square ​
denis-greek [22]

Step-by-step explanation:

The square root of a number is a number that you can square to get it, that is, a number that you can multiply by itself to get the number. So, 2 is a square root of 4, because 2 x 2 = 4, and 3 is a square root of 9, because 3 x 2 = 9.

3 0
3 years ago
I want to know how to solve multi step equation
Anastasy [175]

We are given:

4x+10=7x+16

Our goal in solving for any variable, in this case is x, we need to isolate x on one side of the variable. Let's start by subtracting 7x from both sides, which will cancel the +7x on the right side. We are then left with:

-3x+10=16

Now, we want to move that +10 to the other side so our x is all by itself. Let's subtract 10 from both sides, which will cancel the +10 on the right leaving us with:

-3x=6

Since we cannot have a coefficient when solving for x, we need to divide both sides by -3.

\frac{-3x}{-3}={\frac{6}{-3}

When we divide, our answer is:

x=-2

5 0
3 years ago
Read 2 more answers
Other questions:
  • A unit rate is a comparison of two _____ ? measures where the denominator is__?
    14·1 answer
  • 8 plates cost 48 dollars, how much do 20 plates cost?
    14·1 answer
  • How do you make 3ln2+2ln4 a single logarithm?
    12·2 answers
  • Find the x and y intercepts of the graph of the equation 1. 3x-4y=24 2. -6x+3y=12
    13·1 answer
  • How to get the base of a parallelogram that has a area of 26 1/2 and a height of 6 5/8?
    15·2 answers
  • Kale works in a packaging factory that has 900 employees. By the end of each day, they manage to 3.2*10
    6·1 answer
  • Which could be the measures of angle POS and angle POQ
    14·2 answers
  • What is an equation of the line that passes through the point (-2, 2) and is parallel to the line 2x + y = 1?​
    7·2 answers
  • A group of friends wants to go to the amusement park. They have no more than $505
    13·1 answer
  • Help me please help me quick!!!!!!!!!!!!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!