The plane flies a distance of approximately 10.536 kilometers in <em>straight</em> line and with a bearing of approximately 035°.
A plane that travels a distance 
, in kilometers, with a bearing of 
sexagesimal degrees can be represented in standard position by means of the following expression:
(1)
We can obtain the resulting vector (
) by the principle of superposition:
![\vec R = \Sigma_{i=1}^{n} [r_{i}\cdot (\sin \theta_{i}, \cos \theta_{i})]](https://tex.z-dn.net/?f=%5Cvec%20R%20%3D%20%5CSigma_%7Bi%3D1%7D%5E%7Bn%7D%20%5Br_%7Bi%7D%5Ccdot%20%28%5Csin%20%5Ctheta_%7Bi%7D%2C%20%5Ccos%20%5Ctheta_%7Bi%7D%29%5D)
(2)
If we know that 
, 
, 
, 
, 
and 
, then the resulting vector is:
![\vec R = (5\sqrt{3}, 6) \,[km]](https://tex.z-dn.net/?f=%5Cvec%20R%20%3D%20%285%5Csqrt%7B3%7D%2C%206%29%20%5C%2C%5Bkm%5D)
The magnitude of the resultant is found by Pythagorean theorem:
And the bearing is determined by the following <em>inverse</em> trigonometric relationship:
(3)
If we know that 
and 
, then the magnitude and the bearing of the resultant is:
The plane flies a distance of approximately 10.536 kilometers in <em>straight</em> line and with a bearing of approximately 035°.
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Answer:
One Solution
Step-by-step explanation:
Once you solve the equation, you get 0 which satisfies for X, therefore it has a solution.
Answer:
2) distance = 4 km
Displacement = 4 km east
3) distance = 35 km
Displacement = 5 km north
Step-by-step explanation:
2. He runs for 3 km in the east direction and then stops.. He now runs another 1 km in the same direction then stops.. Thus,
Total distance covered = 3 + 1 = 4 km
Total displacement is how far he is from his starting point = 3 + 1 = 4 km east
3) Runs 20km north and then runs 15 km back from starting point.
Thus;
Total distance covered = 20 + 15 = 35 km
Total displacement is distance from starting point = 20 - 15 = 5 km north
Subtracted because an opposite direction was taken after the 20km back to her starting point.
Answer:
17-2*3-8=3
Step-by-step explanation:
We have given:
17_2_3_8=3 insert + - × or ÷ symbols to make each statement true?
<u>Solution:</u>
We will insert multiplication sign between 2 and 3 and then subtract all the terms
<u>17-2*3-8=3</u>
We will solve it according to the DMAS rule:
DMAS rule is followed when multiple arithmetic operations are there in a given problem like addition, subtraction, multiplication and division. It tells they should be performed in order of Division, Multiplication, Addition and Subtraction. Without DMAS rule all mathematical equations will come up with different answers.
Lets solve the expression and check whether the L.H.S = R.H.S
17-2*3-8=3
17-6-8=3
11-8=3
3 =3
<em>Be sure to multiply first and then subtract</em>
⇒You can also insert addition sign in place of multiplication. It will give the same answer
Answer:
<h2>-1/5</h2>
Step-by-step explanation:
Starting at -3/5 you need to subtract -2/5.
When you subtract a negative number, the sign flips and you add instead. Often, you are taught that two similar signs means add and two opposite signs mean minus.
<em>+ + = +</em>
<em>- - = -</em>
<em>+ - = -</em>
<em>- + = -</em>
<em />
This means -3/5 - -2/5 becomes -3/5 + 2/5.
Because you are adding, you move two lines to the right on the number line.
You end at -1/5.
