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
DerKrebs [107]
3 years ago
6

A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E. The captain then turns the boat 90° and travels

another 15 miles in the direction S 47° E. At that time, how far is the boat from the harbor entrance, and what is the bearing of the boat from the harbor entrance?
Mathematics
1 answer:
Serga [27]3 years ago
3 0

Answer:

Step-by-step explanation:

A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.

Displacement in vector form

= 28 cos43 i + 28sin43j

= 20.47 i + 19.1 j

The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E

Displacement

= 15 cos47 i - 15 sin47 j

= 10.22 i - 10.97 j

Total displacement

= 20.47 i + 19.1 j + 10.22 i - 10.97 j

= 30.69 i - 8.13 j

Magnitude of displacement

= 31.75 miles

Angle with east direction

TanФ = - 8.13 / 30.69

Ф = 15 degree  south of east.

You might be interested in
All the information given in the photo, no idea how to solve <br>​
frosja888 [35]

Answer:

I think you need to find the angle of fde. which b and c look like 45 degree angles.and so does fde, if you know how to solve the problem now, I would do that, because everything there number wise was a VERY rough estimate.

Step-by-step explanation:

3 0
3 years ago
The price of an item has been reduced by 95%. The original price was $93.
mixas84 [53]

Answer:

4.65

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLEASE HELP!!<br> Factor <br> 6x^2-42x-54<br><br> Please show work!
skad [1K]

first, rewrite 54 as 6•9

next, rewrite 42 as 6•7

then, that gets you 6x^2 -6•7x- 6•9

lastly, factor out the common term (6)

and then you get 6(x^2-7x-9)

<u>please mark as brainliet <3</u>

6 0
3 years ago
Simplify: StartRoot StartFraction 576 Over 64 EndFraction EndRoot The prime factorization of 576 is. The prime factorization of
riadik2000 [5.3K]

The prime factor of the 576 is 2^6 * 3^2 and the prime factor of the 64 is 2^6. And the expression \sqrt{\dfrac{576}{64}} is equal to 3.

<h3>What is simplification?</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The expression is \sqrt{\dfrac{576}{64}}

The prime factor of the 576 will be

576 = 2^6 * 3^2

The prime factor of the 64 will be

64 = 2^6

Then the expression will be

\sqrt{\dfrac{576}{64}} = \sqrt{\dfrac{2^6 * 3^2}{2^6}}\\\\\sqrt{\dfrac{576}{64}} = \sqrt{3^2}\\\\\sqrt{\dfrac{576}{64}} = 3

More about the simplification link is given below.

brainly.com/question/12616840

5 0
2 years ago
Using the change-of-base formula, which of the following is equivalent to the
Otrada [13]

Given:

The logarithmic expression is:

\log_718

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

\log_ba=\dfrac{\log_ca}{\log_cb}

The given expression is:

\log_718

Using the change-of-base formula, we get

\log_718=\dfrac{\log_c18}{\log_c7}

Where, is a constant and c>0.

Let c=10, then

\log_718=\dfrac{\log_{10}18}{\log_{10}7}

Therefore, the correct option is a.

3 0
2 years ago
Other questions:
  • Write an equation for the work necessary to stretch the spring from the relaxed state to distance x1
    14·1 answer
  • A function is created to represent the miles per gallon your car gets. What restrictions would be made to the domain?. a. The do
    9·2 answers
  • What addds to 14 and multiplies to 8
    8·1 answer
  • Andrew is buying three different colors of tiles for his kitchen floor. he is buying 50 more purple tiles than black tiles, and
    9·1 answer
  • The price of an item has been reduced by $3.45. The new price is $22.36. What was the original price?
    7·1 answer
  • Farmer brown has ostriches and llamas. Altogether she counts 98 feet and 33 heads. How many ostriches does she have?
    5·1 answer
  • Question 9 of 10 What is the slope of the line shown below? A. 4 B.-1/4 C.1/4 D.-4​
    8·1 answer
  • Jason flips a coin 100 times and lands on heads 59 times. He states that the theoretical probability of flipping a coin and gett
    13·1 answer
  • How many two-digit numbers can be made from the following cards?
    7·1 answer
  • URGENT I NEED HELP FIRST PERSON WHO ANSWERS I'LL GIVE BRAINLYEST
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!