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
Alexxandr [17]
3 years ago
11

A luxury liner leaves a port on a bearing of 110 degrees and travels 8.8 miles. It then turns due west and travels 2.4 miles. Ho

w far is the liner from the port, and what is its bearing from the port?
Mathematics
1 answer:
myrzilka [38]3 years ago
8 0

Answer:

Distance= 6.6 miles

Bearing= N 62.854°W

Step-by-step explanation:

Let's determine angle b first

Angle b=20° (alternate angles)

Using cosine rule

Let the distance between the liner and the port be x

X² =8.8²+2.4²-2(8.8)(2.4)cos20

X²= 77.44 + 5.76-(39.69)

X²= 43.51

X= √43.51

X= 6.596

X= 6.6 miles

Let's determine the angles within the triangle using sine rule

2.4/sin b = 6.6/sin20

(2.4*sin20)/6.6= sin b

0.1244 = sin b

7.146= b°

Angle c= 180-20-7.146

Angle c= 152.854°

For the bearing

110+7.146= 117.146

180-117.146= 62.854°

Bearing= N 62.854°W

You might be interested in
Please please help I’m begging you to help
Ilia_Sergeevich [38]

Answer:

for every 1 vote cast on candidate d there is 4 votes cast on candidate c.

Step-by-step explanation:

44 divided by 11 is 4

7 0
4 years ago
Read 2 more answers
If 2 is a factor of a number, is that number a prime number? <br><br> ___________ explain
Nataliya [291]
Yes it is. It is the only even number that is prime that is multiplied by 1.
4 0
3 years ago
Michael has two more apples than Ann does. Together, Michael and Ann have no more than 9 apples. If Ann has at least one apple,
fiasKO [112]

Answer:

ann has 1 apple and Michael has 8 apples

6 0
3 years ago
Evaluate the expression if a = -1 and b = 1/2.<br> 3+a/2 - 6b
Anna [14]
3+a/2-6b in a couple weeks ago I have a couple things to say I don’t have a problem I just saw you I don’t know how to say hi I don’t have any money for that I just don’t know how to get a hold of me because I’m going out of the house to do a job I have a couple things to go and then I’m gonna be there for you and then you have a couple things that you want me to go out with your dad if not I’m done I just don’t do that you know that I’m going out of my money to do it I just want you know what
8 0
3 years ago
Help no links please
Ludmilka [50]

Answer:

180

Step-by-step explanation:

The difference between 68 and 23 is 45. The company charging 23$ has to be 45$ more for the amount of hours. When you multiply 180 by .4 you get 72, and when you multiply 180 by .65 you get 117. The difference is 45.

Sorry that I didn't show my work, I don't really know how to do this other than plugging in random numbers and 180 fits so...

Hope this helps!

3 0
3 years ago
Other questions:
  • Mika has completed 5 birdhouses that is 25% of the number of birdhouses she wants to build
    11·1 answer
  • What the answer for 4 5 6 7 8
    13·1 answer
  • I need help with this problem
    9·2 answers
  • 198 is 33% of what number?<br> Please show work<br> Can Robtobey help me and others :) ...?
    6·1 answer
  • What causes the curved movement of air or water
    12·2 answers
  • Ratio as a reduced form for 250 to 1,000?
    10·1 answer
  • The amount of money in dollars in a na account after t years is given
    15·1 answer
  • I need help on math can u guys pick 6 random ones and help give me the answer plz
    8·1 answer
  • in order to receive a b on an essay, the grade must be no lower then 82% and no higher than an 89%.write a compound inequality t
    10·1 answer
  • Written as a simplified polynomial in standard form, what is the result when (3x-1)^2 is subtracted from 4?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!