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
MaRussiya [10]
3 years ago
7

Bob travels from Inglewood to anytown; a distance of 20 km.

Mathematics
1 answer:
Ganezh [65]3 years ago
7 0

Answer:

Total Distance = 20km = 20 × 1000 = 20,000 m

Distance walked = 800m

Distance travelled by cycle = 20,000 - 800 = 19,200m

Percentage of journey by cycle = (distance travelled by cycle ÷ total distance) × 100

Percentage of journey by cycle = (19200 / 20000) * 100

Percentage of journey by cycle = 96%

You might be interested in
the entire bag is about 800 calories. one serving is 1/5 of the bag. how many calories is in one serving?
Svetradugi [14.3K]

Answer: 160 calories

Step-by-step explanation:

6 0
3 years ago
Solve/answer the question and help me understand this question please
faltersainse [42]

Answer:

  5.25 m

Step-by-step explanation:

A diagram can help you understand the question, and can give you a clue as to how to find the answer. A diagram is attached. The problem can be described as finding the sum of two vectors whose magnitude and direction are known.

__

<h3>understanding the direction</h3>

In navigation problems, direction angles are specified a couple of different ways. A <em>bearing</em> is usually an angle in the range [0°, 360°), <em>measured clockwise from north</em>. In land surveying and some other applications, a bearing may be specified as an angle east or west of a north-south line. In this problem we are given the bearing of the second leg of the walk as ...

  N 35° E . . . . . . . 35° east of north

Occasionally, a non-standard bearing will be given in terms of an angle north or south of an east-west line. The same bearing could be specified as E 55° N, for example.

<h3>the two vectors</h3>

A vector is a mathematical object that has both magnitude and direction. It is sometimes expressed as an ordered pair: (magnitude; direction angle). It can also be expressed using some other notations;

  • magnitude∠direction
  • magnitude <em>cis</em> direction

In the latter case, "cis" is an abbreviation for the sum cos(θ)+i·sin(θ), where θ is the direction angle.

Sometimes a semicolon is used in the polar coordinate ordered pair to distinguish the coordinates from (x, y) rectangular coordinates.

__

The first leg of the walk is 3 meters due north. The angle from north is 0°, and the magnitude of the distance is 3 meters. We can express this vector in any of the ways described above. One convenient way is 3∠0°.

The second leg of the walk is 2.5 meters on a bearing 35° clockwise from north. This leg can be described by the vector 2.5∠35°.

<h3>vector sum</h3>

The final position is the sum of these two changes in position:

  3∠0° +2.5∠35°

Some calculators can compute this sum directly. The result from one such calculator is shown in the second attachment:

  = 5.24760∠15.8582°

This tells you the magnitude of the distance from the original position is about 5.25 meters. (This value is also shown in the first attachment.)

__

You may have noticed that adding two vectors often results in a triangle. The magnitude of the vector sum can also be found using the Law of Cosines to solve the triangle. For the triangle shown in the first attachment, the Law of Cosines formula can be written as ...

  a² = b² +o² -2bo·cos(A) . . . . where A is the internal angle at A, 145°

Using the values we know, this becomes ...

  a² = 3² +2.5² -2(3)(2.5)cos(145°) ≈ 27.5373

  a = √27.5373 = 5.24760 . . . . meters

The distance from the original position is about 5.25 meters.

_____

<em>Additional comment</em>

The vector sum can also be calculated in terms of rectangular coordinates. Position A has rectangular coordinates (0, 3). The change in coordinates from A to B can be represented as 2.5(sin(35°), cos(35°)) ≈ (1.434, 2.048). Then the coordinates of B are ...

  (0, 3) +(1.434, 2.048) = (1.434, 5.048)

The distance can be found using the Pythagorean theorem:

  OB = √(1.434² +5.048²) ≈ 5.248

7 0
1 year ago
Select the correct answer.
Alina [70]

Answer:

Incisive

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Hello, I need help with this math problem please
Marina86 [1]

Answer:

4c^2+7c-5=0

4c^2+7c=5

4c^2+7c=5

4c^2+7c-5=0\quad :\quad c=\frac{-7+\sqrt{129}}{8},\:c=\frac{-7-\sqrt{129}}{8}\quad \left(\mathrm{Decimal}:\quad c=0.54472\dots ,\:c=-2.29472\dots \right)

Hope This Helps!!!

4 0
2 years ago
Read 2 more answers
Which of the following is rational 9/12 or -64
natali 33 [55]
9/12 bc it is a fraction
3 0
2 years ago
Other questions:
  • A department store has a discount on shoes based on percentage of the price. Suppose one pair of shoes is marked down 70$ to 49$
    6·1 answer
  • How can you solve quadratic equations in one variable?
    7·1 answer
  • Correct Answers only please!
    10·1 answer
  • Pls someone pls help me with this question pls
    11·1 answer
  • 7 plus a number z is more than 5
    6·1 answer
  • Which system of linear inequalities is represented by
    5·1 answer
  • How long will it take for an investment to double in valve if it earns 12.25% compounded continuously ?
    9·1 answer
  • A. 292.6 <br> b. 235.7<br> c. 471.4<br> d. 625.8<br><br> pls help
    13·2 answers
  • What is the queuing theory and how to use it?
    14·2 answers
  • Robert gets a loan from his bank.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!