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
MrMuchimi
3 years ago
12

A ship travels 200 miles due west, then adjusts its course 30° north of west. The ship continues on this course for 30 miles. Ap

proximately how far is the ship from where it began?
Mathematics
2 answers:
VARVARA [1.3K]3 years ago
7 0

Answer:

Approximately the ship is 174.67 m far from where it began

Step-by-step explanation:

Let positive x axis represent east and positive y axis represent north.

A ship travels 200 miles due west.

Displacement, s₁ = -200 i

Then adjusts its course 30° north of west. The ship continues on this course for 30 miles.

Displacement, s₂ = 30 cos 30 i + 30 sin 30 j = 25.98 i + 15 j

Total displacement = s₁ + s₂ = -200 i +25.98 i + 15 j = -174.02 i + 15 j

\texttt{Magnitude =}\sqrt{(-174.02)^2+(15)^2}=174.67m

Approximately the ship is 174.67 m far from where it began

Marta_Voda [28]3 years ago
6 0

Answer:

174.66\ mi  or 175\ mi

Step-by-step explanation:

we know that

Applying the law of cosines

c^{2}=a^{2}+b^{2}-2(a)(b)cos(C)

In this problem we have

a=200\ mi

b=30\ mi

C=30\°

substitute the values

c^{2}=200^{2}+30^{2}-2(200)(30)cos(30\°)

c^{2}=30,507.695

c=174.66\ mi

You might be interested in
How can the area of this triangle be determined by forming a rectangle?
m_a_m_a [10]

Step-by-step explanation:

Copy and rotate the triangle and place it next to the existing triangle to form a rectangle.

8 0
2 years ago
Read 2 more answers
Which ratio is equivalent to 9: 180? А 5 200 B. 12 : 240 C 10 400 D 8 560​
pshichka [43]

Answer:

B. 12:240

Step-by-step explanation:

- 9:180

⇒ 1:20

Optiona (A) 5 : 200 it is not  multiple of 1:20, Eliminate.

Option (B) 12:240, it is multiple of 1:20 ( x 12) , quality

Option (C) 10:400 , Eliminate

Option (D) 8:560 , Eliminate

Hence, 12:240 is equivalent to 9:180.

6 0
2 years ago
The sum of two integers is five the different is three what are the two integers
Elza [17]
Think about it for a minute and take a deep breath. you’ll be ok. i’m solving it rn please give me a minute
5 0
3 years ago
PLEASE HELP!!!! CUMULATIVE EXAM!!!! 50 POINTS
timurjin [86]

Answer:

10

Step-by-step explanation:

My guy just plug in the number for x it's not that hard

8 0
2 years ago
It took Fred 12 hours to travel over pack ice from one town to another town 360 miles away. During the return journey it took hi
Minchanka [31]

Step-by-step explanation:

what is your question please

6 0
3 years ago
Other questions:
  • The sum of 5 consecutive integers is 100. What is the first number in this sequence?
    5·1 answer
  • 60 60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity. 18 18 boys chose biking and 2
    15·2 answers
  • The data set shows how many points Mark scored in each basketball game he played this season.
    13·1 answer
  • Explain how you know whether to add or subtract when you use the distributive property to multiply
    12·1 answer
  • Mya's lunchbox is shown. What is the volume of the lunchbox? Round to the nearest tenth if necessary.
    7·1 answer
  • For any linear function f(x) = mx + b, when does 5f(x) = f(5x)?
    11·1 answer
  • Hello i give points!
    5·1 answer
  • What is the answer for this question
    9·1 answer
  • Guys... Whats 2+2 :DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
    12·2 answers
  • 7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!