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
sineoko [7]
3 years ago
8

A boat sails on a bearing of 038°anf then 5km on a bearing of 067°.

Mathematics
1 answer:
I am Lyosha [343]3 years ago
7 0

This question is not complete

Complete Question

A boat sails 4km on a bearing of 038 degree and then 5km on a bearing of 067 degree.(a)how far is the boat from its starting point.(b) calculate the bearing of the boat from its starting point

Answer:

a)8.717km

b) 54.146°

Step-by-step explanation:

(a)how far is the boat from its starting point.

We solve this question using resultant vectors

= (Rcos θ, Rsinθ + Rcos θ, Rsinθ)

Where

Rcos θ = x

Rsinθ = y

= (4cos38,4sin38) + (5cos67,5sin67)

= (3.152, 2.4626) + (1.9536, 4.6025)

= (5.1056, 7.065)

x = 5.1056

y = 7.065

Distance = √x² + y²

= √(5.1056²+ 7.065²)

= √75.98137636

= √8.7167296826

Approximately = 8.717 km

Therefore, the boat is 8.717km its starting point.

(b)calculate the bearing of the boat from its starting point.

The bearing of the boat is calculated using

tan θ = y/x

tan θ = 7.065/5.1056

θ = arc tan (7.065/5.1056)

= 54.145828196°

θ ≈ 54.146°

You might be interested in
How does -1.125 + 1.2 = 0.075 instead of 0.925?
kenny6666 [7]

Answer:

.0075 (hope this help; let me know if not)

Step-by-step explanation:

The operation is + and the signs of the numbers are opposite so we have to subtract. The bigger number has positive sign in front if so we do 1.2-1.125=1.200-1.125

I'm going to line up

1.200

-1.125

---------

If you have 200 and you take about 125... 75 should beleft

so

1.200

-1.125

---------

0.075

6 0
3 years ago
Your neighbor has decided to enlarge his garden. The garden is rectangular with width 6 feet and length 15 feet. The new garden
Nana76 [90]

Answer:

Original garden: 42 feet

Enlarged garden: 98 feet

Step-by-step explanation:

Perimeter = length (2) + width (2)

<u>Original perimeter:</u>

P = 15(2) + 6(2)

P = 30 + 12

P = 42 feet

In this problem, similar is proportional, so the new garden will be proportional to the old one.

If the original length was 15 and the new length is 35, then 15 would have had to have been multiplied by 2 1/3. That means you need to multiply 6 by 2 1/3, which is 14. That means the dimensions of the enlarged yard is 14 (width) × 35 (length).

<u>Enlarged perimeter</u>

P = 35(2) + 14(2)

P = 70 + 28

P = 98 feet

4 0
3 years ago
What would x equal( rounded to the nearest tenth)
masya89 [10]
You are given the opposite: 16 km
You need to find x (adjacent)
The angle measure: 28 degrees
With opposite and adjacent, use tangent
Tan(28) = 0.5317094317
Tan(28) = 16/x
x = 16/0.5317094317
x = 30.0916
Round to nearest tenth
Solution: x = 30.1 km
5 0
3 years ago
Read 2 more answers
Gianna used two refrigerators, each set to a different temperature, to cool two cups of hot liquid
ludmilkaskok [199]

Answer:

Whichever refrigerator has the HIGHEST temperature will make the hot liquid cool slower and whichever one has the LOWEST temperature will cool the hot liquid faster

Step-by-step explanation:

EXAMPLE: If one is 55 degrees and the other one is 5 degrees, the one that is 5 degrees will cool the hot liquid faster.

3 0
3 years ago
Read 2 more answers
Help me once more please
Damm [24]
The graph that Franco is Incorrect
It suppose to be from left to right
5 0
3 years ago
Other questions:
  • What is the length of segment AC?
    15·1 answer
  • 20 PTS!
    5·2 answers
  • Find the midpoint of the line segment with the given endpoints (-3,1 -2,8) (-4.92,-3.3)
    9·1 answer
  • 1: Look at the two inequalities above. What value of x makes both inequalities true?
    13·2 answers
  • The mass of one methane molecule is 2.7x10^-23gram. Find the mass of 90,000 molecules of methane. Express the answer in scientif
    6·1 answer
  • In a race, 27 out of the 50 bicyclists finished in less than 47 minutes. What percent of bicyclists
    9·1 answer
  • The sword maker in the cove ordered a special tape to wrap the sword handles with. He knew each sword would need 48 inches of ta
    13·1 answer
  • Amanda runs 10 miles in 56 minutes. how many miles does she run per minute
    8·1 answer
  • P+4&lt;10 <br> The solution of the inequality is
    8·1 answer
  • Peter hired two combine operators to harvest his 260 acres of wheat. He expected a yield of 50 bushels per acre. The first opera
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!