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
igor_vitrenko [27]
3 years ago
15

The velocity of the current in a river is C = 0.6i + 0.8j km/hr. A boat moves relative to the water with velocity v=7i km/hr. a.

What is the speed of the boat relative to the riverbed? b. What angle does the velocity of the boat relative to the riverbed make with the vector v? c. What does the angle from part b tell us in practical terms?
Mathematics
1 answer:
AnnyKZ [126]3 years ago
5 0

Answer:

  a. 7.64 km/h

  b. 6.0°

  c. see below

Step-by-step explanation:

a) The total velocity of the boat is ...

  7i +(0.6i +0.8j) = 7.6i +0.8j

The magnitude of this velocity is the speed of the boat, relative to land. That is given by the Pythagorean theorem.

  |7.6i +0.8j| = √(7.6² +0.8²) = √58.4 ≈ 7.642 . . . . km/h

__

b) The angle of the total velocity with respect to the "i" direction (the direction of vector v) is ...

  α = arctan(0.8/7.6) ≈ 6.009°

__

c) The boat is headed in a direction 6° different from its velocity relative to the water. That may need to be accounted for if the boat is traveling any significant distance.

You might be interested in
Does anyone know the fraction pairs for these? Please help ASAP!
pishuonlain [190]

Answer:

dividing denominators

Step-by-step explanation:

you say for example 12/5, means 12 divides 5 is going to give something 2.4, so as the answer is gonna be 2 hole number 4/5.

3 0
4 years ago
Find the simple interest $3600 at 2.75% for 6 years
Inga [223]

Answer: $594

Step-by-step explanation: the formula is PxRxT/100

P stands for Principal= $3600. R stands for Rate= 2.75%. T stands for Time= 6 years. We substitute the value in the formular. We have 3600x2.75x6/100=594

3 0
3 years ago
–7x + 10 = –20 or 10 = 7x – 20
marin [14]
It depends what the y intercept of the line is
6 0
3 years ago
Read 2 more answers
7r²+9=1 quadratic equation.
dezoksy [38]
<span>7r²+9=1 

</span><span>the equation is contradictory, just to prove

7r</span>² + 9 = 1

7r² + 9 -1 = 0

7r² + 8 = 0

<span>We write the equation in the form of products of
</span>
7 * (r² + 8/7) = 0

<span>the product is equal to 0 when one of the factors is zero
</span>
7≠0      ∨      (r² + 8/7) = 0
                     r² ≠ - 8/7
<span>any number squared is not negative.

</span><span>We proved that none of the factors is not equal to zero , so the right side of the equation is not equal to the left . The equation is contradictory</span>
7 0
3 years ago
6y-7=10y+5 help, please
nika2105 [10]

Answer: y= -3

Step-by-step explanation: some things you have to do alone my good man

8 0
3 years ago
Other questions:
  • 4. Rhombus QRST has diagonals intersecting at W. Point U is located on side QR and point V on diagonal RT
    13·1 answer
  • Evaluate ∫ e3x dx. ExplAin answers please
    11·1 answer
  • If f(x)=-8-5x, what is f(-4)?
    14·2 answers
  • How do you write 16x-44 in factored form. Plz help asap
    8·2 answers
  • Find the value of the variable. If the answer is not a whole number, round to the nearest tenth.
    7·1 answer
  • I need help with this
    7·1 answer
  • What numbers are a distance of 12 unit from 35 on a number line?
    10·1 answer
  • 18. At my son's birthday party, we had a piñata that we filled with 140 pieces of candy. If there were 42 Hershey
    7·2 answers
  • Help please with my algebra test !!!!
    5·1 answer
  • I know this is d u m b but I’m confused on how to describe the pattern
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!