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
andre [41]
2 years ago
13

A car travels 10 km southeast and then 15 km in a direction 60° north of east. Find the magnitude of the car's resultant vector.

Mathematics
2 answers:
ra1l [238]2 years ago
5 0

Answer:

60×10 =600<u>÷</u><u>1</u><u>5</u><u>=</u><u>4</u><u>0</u>

Step-by-step explanation:

oh that's my answer

Inessa05 [86]2 years ago
5 0

Statement of the given problem,

A car travels 20 km due north and then 35 km in a direction 60° west of north. What is the magnitude and direction of the car’s resultant displacement?

Let

î & ĵ denote two unit vectors along East & North directions respectively.

D denotes the resultant displacement vector of the given car.

Hence from above data we get as follows,

D = 20*ĵ - 35*(sin 60°)*î + 35*(cos 60°)*ĵ

or D = - 35*(sin 60°)*î + [20 + 35*(cos 60°)]*ĵ

Therefore,

the required magnitude of the car’s resultant displacement

= | D |

= √[{- 35*(sin 60°)}^2 + {20 + 35*(cos 60°)}^2]

= √[(35*√3/2)^2 + (20 + 35/2)^2]

= √2325 = 48.218 (km) [Ans]

the required direction of the car’s resultant displacement

= arctan [{20 + 35*(cos 60°)}/{- 35*(sin 60°)}]

= arctan [(20 + 35/2)/(- 35*√3/2)]

= arctan (-1.237)

= 51.05° (North of West)

or (90° - 51.05° =) 38.95° (West of North) [Ans]

You might be interested in
A puppy ways 5 3/4 how many does the puppy way in ounces???<br><br> I NEED HELP ASAP!!
Anastasy [175]

Answer: 23 ounces

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find the value of x. (Type an integer or decimal.)
SOVA2 [1]

Answer:

70

Step-by-step explanation:

An angle formed by 2 tangent lines is equal to one half the measure of the major arc minus the measure of the minor arc.

we are given the minor arc ( 110 ) however we are not given the major arc.

Because circles make a 360 degree rotation we can find the major arc by subtracting the measure of the minor arc from 360

Thus, major arc = 360 - 110 = 250

Now that we have identified the major and minor arc we can find x

Recall that x = 1/2 ( major arc - minor arc )

Thus, x = 1/2 ( 250 - 110 )

250 - 110 = 140

140 / 2 = 70

Hence, x = 70

6 0
2 years ago
Find the inverse f(x)= 3x-5/2
dlinn [17]
I hope it helps you get it right

8 0
3 years ago
How much of each snack should hunter purchase to satisfy this senerio
bagirrra123 [75]
B is the correct answer
3 0
3 years ago
If the number of bacteria in a colony doubles every 210 minutes and the population is currently 8,000 bacteria, what will the po
Stells [14]

Answer:

D is the answer

64,000 exponential function  

Step-by-step explanation:

64,000 exponential function  

The number of bacteria in a colony doubles  every 210 minutes.

The population of bacteria = 8000

Determine how many times the population will double.

\frac{630}{210}

 = 3

Multiply the population by 2 a total of 3 times.

8000 × 2³ = 64,000

8 0
3 years ago
Other questions:
  • What is the price, in dollars, of 2 lbs of apples?
    10·1 answer
  • Lucia hit a golf ball 240 feet. How many yards did she hit the ball?
    10·1 answer
  • Graph the equation by translating y = |x|.
    11·1 answer
  • Help, Please!
    13·1 answer
  • A basketball player made 48% of the shots she attempted. If she made 36 baskets, how many shots did she attempt
    13·1 answer
  • The quotient of -4 and y​
    11·1 answer
  • traversal T intersects line K and J as shown. Which of the following relationships make J parellel to K
    6·1 answer
  • What mathematical relationship between variables is suggested by a graph showing a diagonal line from the lower left to the uppe
    12·2 answers
  • Please help! Math problem.<br><br><br>2x+4=0: Solve for x
    7·2 answers
  • Whats the answer to 3+2h=7
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!