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
Burka [1]
3 years ago
13

a river flows due south at 1.2 miles per hour. A swimmer attempting to cross the river heads due east swiming at 3 miles per hou

r relative to the water. In what direction should the swimmer head in order to arrive at a landing spot due east of his starting point
Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

Answer:

The swimmer must move in the direction 338.2°

Step-by-step explanation:

Since the river flows due south at 1.2 miles per hour and the swimmer swims 3 miles per hour due east of the river, since their directions are perpendicular,  the resultant speed is the hypotenuse of the triangle formed by the two perpendicular directions.

The direction of the resultant speed is thus θ = tan⁻¹( vertical component/horizontal component) where vertical component = 1.2 mph due south = -1.2 mph and horizontal component = 3 mph due east = + 3 mph

So, θ = tan⁻¹(-1.2 mph/+ 3mph)

θ = tan⁻¹(-1.2/3)

θ = tan⁻¹(-0.4)

θ = -21.8°

θ = -21.8° + 360° (since we are in the fourth quadrant- between east and south)

θ = 338.2°

So, <u>the swimmer must move in the direction 338.2°</u>.

You might be interested in
Can someone help me plzz
andriy [413]
In an equilateral triangle (all sides and anges are equal)
angles are 60 degrees each
6 0
3 years ago
What is the speed of the bullet in metres per minute?
ANEK [815]

Answer:

896 metres per minute

Step-by-step explanation:

not for much sure

8 0
2 years ago
Read 2 more answers
Which statement are true based on the diagram? Select 2 options
Step2247 [10]

Answer:

second and last are true

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
One-half of the sum of a number and 6 is less than 25. What is the number
Leno4ka [110]

Answer:

44

Step-by-step explanation:

1/2(n + 6) < 25         Distribute

1/2n + 3 < 25

       - 3     - 3           Subtract 3 from both sides

1/2n < 22                  Multiply both sides by 2 or divide by 1/2

n < 44

If this answer is correct, please make me Brainliest!

4 0
3 years ago
A Galapagos tortoise can 1/5 mile in an hour. How many hours would it take the tortoise to walk 1/6?
polet [3.4K]

Answer:

5/6 hours

Step-by-step explanation:

Create a proportion where x is the number of hours it will take to walk 1/6 of a mile:

\frac{1/5}{1} = \frac{1/6}{x}

Cross multiply and solve for x:

1/5x = 1/6

x = 5/6

So, it will take the tortoise 5/6 hours to walk 1/6 of a mile

8 0
3 years ago
Other questions:
  • Juana tiene en su tienda un costal con 28 libras de azucar.Hizo seis paquetes de 2,5 kg cada uno,de los cuales vendio cinco.¿Cua
    8·1 answer
  • Find the area of a sector with a central angle of 170° and a diameter of 9.1 cm. Round to the nearest tenth.
    5·2 answers
  • HELP ASAP PLEASE!!
    10·1 answer
  • True or false
    8·1 answer
  • Twice a number, minus 13
    15·2 answers
  • Circle O has a circumference of 36 cm.
    15·2 answers
  • Which of these show a set of equivalent expressions ? select all that apply
    8·1 answer
  • Ruby frosted 8 cookies in 20 minutes. At this rate how<br> many cookies could she frost in 2 hours?
    6·1 answer
  • The length, l, of the shadow cast by an object varies directly as the height, h, of the object. If k is the constant of variatio
    12·2 answers
  • Express graph in slope intercept form
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!