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
mihalych1998 [28]
3 years ago
15

ANSWER PLEASE LORD ANSWER

Mathematics
2 answers:
sesenic [268]3 years ago
5 0

Answer:

< 2.11, 4.53 >, < -3.03, -1.75 >, <2.93 cos 108.26, 2.93 sin 108.26 >

Step-by-step explanation:

First, let's decompose Bruce's velocity along the x- and y- direction. Bruce is moving 5 m/s at 25 degrees east of north, so its angle with respect to the positive x-direction is actually 90 - 25 = 65 degrees. So its components are

b_x = (5 m/s) cos 65^{\circ} =2.11 m/s\\b_y = (5 m/s) sin 65^{\circ} =4.53 m/s

So, Bruce's vector is

< 2.11, 4.53 >

The current is moving 3.5 m/s at an angle 60 degrees west of south, which means an overall angle of 210 degrees, measured counterclockwise from the positive x-axis. So, the components of the current's velocity are

c_x = (3.5 m/s) cos 210^{\circ}=-3.03 m/s\\c_y = (3.5 m/s) sin 210^{\circ}=-1.75 m/s

So, the current's vector is

< -3.03, -1.75 >

Finally, we can add the components of the two vectors to find Bruce's actual velocity:

v_x = b_x + c_x = 2.11 + (-3.03)=-0.92 m/s\\v_y = b_y + c_y = 4.53+(-1.75)=2.78 m/s

So, Bruce's actual velocity is

< -0.92, 2.78 >

The magnitude is

v=\sqrt{(-0.92)^2+(2.78)^2}=2.93 m/s

And the direction is

\theta=180^{\circ} - tan^{-1} (\frac{v_y}{v_x})=180^{\circ} - tan^{-1}(\frac{2.78}{-0.92})=180^{\circ}-71.7^{\circ}=108.3^{\circ}

ohaa [14]3 years ago
5 0

< 2.11, 4.53 >, < -3.03, -1.75 >, <2.93 cos 108.26, 2.93 sin 108.26 >

You might be interested in
The point (-2, -1) satisfies which of the following inequalities?
satela [25.4K]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
38/58 in it's simplest form
Ainat [17]
19/29

Find the common factor which in this case is 2. Divide numerator and denominator by common factor. You’re left with 19/29. Since 19 and 29 don’t have any common factors it is in its simplest form.
6 0
3 years ago
PLEASE HELP ASAP! WILL GIVE BRAINLEIST!<br> Find the area of the shaded region. Use pi = 3.14
Semmy [17]

Answer:

Step-by-step explanation:

Square

The side length of the square = 8 cm

The area of the square = s^2

The area of the square = 8^2 = 64

Circle

r = d/2

r = 8/2

r = 4

Area of the circle = pi r^2

Area of the circle = 3.14 * 16

Area of the circle = 50.24

Shaded Area

Area of the Shaded area = area Square - Area Circle

                                          = 64 - 40.24

                                          = 23.76

4 0
3 years ago
Let a and b be real numbers were a≠ b ≠ 0. Which of the following functions could represent the graph below?
wlad13 [49]

Answer:

A

Step-by-step explanation:

where the graph

WHERE THE GRAPH???

8 0
2 years ago
When you buy a new car it is a depreciating asset. Which means the moment you purchase your car it begins losing value. If you
Arturiano [62]

I can't see the graph but I'll try anyway

Answer:

x      y

0     $20,000

1      $18,000

2     $16,200

3     $14,580

4     $13,122

5     $11,809.80

4 0
2 years ago
Other questions:
  • A heap of grain is shaped as a cone ADCF with height 5 m and base radius 2 m, as shown on the diagram. A and C are points on the
    7·1 answer
  • You invest $34,100 at a 4% interest rate. What is your balance after 36 months?
    5·1 answer
  • Solve for x.<br><br> 2x/3 + 1 = 3<br><br> x = 1 <br> x = 2 <br> x = 3<br> x = 6
    5·2 answers
  • Indicate the equation of the given line in standard form. The line containing the longer diagonal of a quadrilateral whose verti
    6·1 answer
  • Write 15/45 as unit rate
    14·1 answer
  • Chinedu sat down to do his homework, which included 30 math problems. He solved 2 problems each minute. Let f(n) be the number o
    11·1 answer
  • 2) A square and a rectangle have the same perimeter. The square has a side length of 6 x units. The
    6·1 answer
  • Help me please come on please.
    11·1 answer
  • Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenarlo?​
    11·1 answer
  • There are 10 red, 10 black, 10 white, and 10 gray marbles in a jar. If all the marbles are identical, what is the least number o
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!