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
yaroslaw [1]
3 years ago
7

Two ships leave the same port at the same time. Two hours later ship A has traveled 12 miles and ship B has traveled 8 miles.

Mathematics
1 answer:
MakcuM [25]3 years ago
4 0

Answer:

the angle between their paths is <em>100.8°</em>

Step-by-step explanation:

From the given information, you can construct a triangle, just like the one in the figure.

We will use the <em>Cosine Rule</em> which is:

c² = b² + a² - 2 b c cos(θ)

where

  • c = 16 miles
  • b = 8 miles
  • a = 12 miles

Therefore,

2 b c cos(θ) = b² + a² - c²

cos(θ) = (b² + a² - c²) / 2 b c

θ = cos⁻¹( (b² + a² - c²) / (2 b c) )

θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )

<em>θ = 100.8°</em>

<em></em>

Therefore, the angle between their paths is <em>100.8°</em>

You might be interested in
A function with an input of 1 has an output of 3. Which of the following could not be the function equation?
Nikolay [14]
I think it is y = x - 2 .
6 0
3 years ago
Read 2 more answers
The point (21,32) is on a line with slope 1.5.
Oxana [17]
We can use the equation: y=mx+b
x represents the x-value, y represents the y-value, m represents slope, and b represent the y-intercept.

We must plug in what we know in order to find the value of b.
32 = 1.5*21 + b
32 = 31.5 + b
So b = 0.5

Now we know our equation is y = 1.5x + 0.5

We can find any other point on the line by plugging in any x-value. Let's try 5.
y = 1.5*5 + 0.5
So y =8 and our point is (5,8)
7 0
3 years ago
Read the numbers and decide what the next number should be. 256 196 144 100 64 36 16
Tatiana [17]
340? TBD add the two numbers.
4 0
3 years ago
Read 2 more answers
What is the answer for -8(w-6=32
vladimir2022 [97]
The answer would be 2 because the problem(after rewriting it) is -8w+48=32. so then you subtract 48 from both sides and get -8w=-16. then divide both sides by -8 and you get 2
4 0
3 years ago
Find the zero of: f(x)=5x+195
monitta

Answer:

(x + 39) or x = -39

Step-by-step explanation:

Set f(x) to 0

0 = 5x + 195

5x = -195

x = -39

4 0
2 years ago
Other questions:
  • Which of the following is intended primarily to enhance a person's tax advantage and retirement income?
    8·2 answers
  • In this geometric sequence, what is the common ratio?
    8·1 answer
  • Distribute5x (3x + 7)
    13·1 answer
  • Find x to the nearest tenth.<br><br> Please answer quick
    10·2 answers
  • In Exercises 1-4, determine whether the dilated figure or the original figure is closer to the center of dilation. Use the given
    9·1 answer
  • Express as a trinomial ??<br><br> (2x-5)(2x-1)
    11·2 answers
  • Fake Question So It Doesn't Get Taken Down (What is the gemological answer for 5.87 x 7?) Real Question: Whats something i could
    10·2 answers
  • Can anyone please help explain what any of this means and how I could solve this? Many Thanks!
    8·1 answer
  • PLEASE HELP I AM DESPERATE I WILL GIVE THANKS, 5 STARS, AND THE BRAINLIEST!!!
    9·1 answer
  • How do you solve this?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!