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
faltersainse [42]
3 years ago
6

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:
sashaice [31]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
I will give you brainliest if you answer correctly. Ted bikes 3 miles to the store and 3 miles back, The wind is blowing in his
Rudik [331]
It should be 4 miles if im not mistaken
3 0
2 years ago
I need help on these questions please
Paraphin [41]

Answer:

Step-by-step explanation:

1). In ΔABC,

   For angle A as a reference angle,

   Opposite side of ∠A → BC

   Adjacent side of ∠A → AC

   Hypotenuse → AB

2). By using tangent ratio in ΔYWZ,

    tan(72°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

    tan(72°) = \frac{12}{x}

    x = \frac{12}{\text{tan}(72)}

    x = 3.899

    x ≈ 3.9

3). By using sine rule in ΔKNM,

    tan(x°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

    tan(x) = \frac{20}{58}

    x = \text{tan}^{-1}(\frac{20}{58} )

    x = 19.03

    x ≈ 19.0°

4). By applying cosine ratio in ΔJKF,

    tan(70°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

    tan(70) = \frac{60}{x}

    x = \frac{60}{\text{tan}(70)}

    x = 21.838

    x ≈ 21.8

7 0
3 years ago
Pls help, will mark brainliest if right
Tanya [424]

Answer:

D

Step-by-step explanation:

I just did this lol

6 0
3 years ago
Austin borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 5% the total interest
Reika [66]

Given:

Rate of simple interest = 5%

Time = 4 years

Total interest = $160

To find:

The amount borrowed by Austin from a credit union.

Solution:

The formula for simple interest is:

I=\dfrac{P\times r\times t}{100}

Where, P is principal, r is the rate of interest and t is the number of years.

Putting I=160,r=5,t=4 in the above formula, we get

160=\dfrac{P\times 5\times 4}{100}

160=\dfrac{20P}{100}

160=\dfrac{P}{5}

Multiply both sides by 5.

800=P

Therefore, Austin borrowed $800 from a credit union for 4 years.

8 0
2 years ago
How to factor out 7x^6
Nataly_w [17]

Answer:

42

Step-by-step explanation:

so you do 7 times 6 and you should get 42

8 0
2 years ago
Other questions:
  • PLEASEEEEE HELP ASAP WILL MARK BRAINIEST
    7·1 answer
  • Which figures are similar?
    7·1 answer
  • For every pizza Eric's family ate, eric ate2 of the 8 pieces. If Eric's family bought 2 pizzas, write the ratio of the total num
    14·1 answer
  • What does a monster say when introduced?
    10·1 answer
  • During a football game, the team lost 6 yards and then another 3 yards. How many yards behind the line of scrimmage are they?
    15·1 answer
  • A Japanese beetle has length between 0.3 and 0.5 inches.Find two lengths that are within the given span. Write them as fraction
    9·1 answer
  • Trina borrowed $460 from a friend. Her friend charged her 5% simple annual interest.
    14·2 answers
  • F(x) = -6x + 4<br> f (x) = 28
    11·1 answer
  • Which expression is equivalent to 4+5i•(2-7i)?
    12·1 answer
  • If we graph a circle whose center is at (1, -3), the center is located at the __________ quadrant
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!