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°.
To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/21925479
6/7 because 48 divided by 8 is 6 and 56 divided by 8 is 7
Answer:
59.4 times greater to the nearest tenth.
Step-by-step explanation:
5,028,000,000,000,000,000,000,000
= 5.028 * 10^24
So the required ratio = 5.028 * 10^24 / 8.46 * 10^22
= 0.594326 * 10^2
= 5.94326 * 10
= 59.4326.
Answer:
C (The third one)
Step-by-step explanation:
Light bends when it goes through water
Refracts when hits a specific glass thing
and reflects when it goes off a mirror
(a-b)^2 = a^2-2ab+b^2
(8-5i)^2 = 8^2-2(8)(5i)+(5i)^2
= 64-80i+25i^2
i^2=-1
So
= 64-80i+25(-1)
=64-25-80i
= <em><u>39 - 80i</u></em>
which is your answer :)
