Answer:
About 6 months
Step-by-step explanation:
1. Find X (5x=15000)
2. Log15000/log5=x
3. X=5.9
4. Round to 6
Answer:
you need to explain what the question is
Step-by-step explanation:
Answer:
Pls attach table
Step-by-step explanation:
Answer:
2x - y = 8
Step-by-step explanation:
2x - y = 8 does not belong with the other equations because C. the equation is in standard form
The direction of Beatriz relative to the <em>starting</em> point of her trip is approximately
.
<h3>How to find the position of Beatriz relative to the starting point of her trip</h3>
After a careful reading of the statement, we find that <em>final</em> position (
) by the end of the second day is found by means of this vector sum:
(1)
Where:
- Vector distance of the first day relative to starting point, in kilometers.
- Vector distance of the second day relative to the final point of
, in kilometers.
If we know that
and
, then final position of Beatriz relative to origin is:
![\vec r = (200\,km\cdot \cos 300^{\circ}, 200\,km\cdot \sin 300^{\circ})+(150\,km \cdot \cos 250^{\circ}, 150\,km\cdot \sin 250^{\circ})](https://tex.z-dn.net/?f=%5Cvec%20r%20%3D%20%28200%5C%2Ckm%5Ccdot%20%5Ccos%20300%5E%7B%5Ccirc%7D%2C%20200%5C%2Ckm%5Ccdot%20%5Csin%20300%5E%7B%5Ccirc%7D%29%2B%28150%5C%2Ckm%20%5Ccdot%20%5Ccos%20250%5E%7B%5Ccirc%7D%2C%20150%5C%2Ckm%5Ccdot%20%5Csin%20250%5E%7B%5Ccirc%7D%29)
![\vec r = (48.670, -314.159)\,[km]](https://tex.z-dn.net/?f=%5Cvec%20r%20%3D%20%2848.670%2C%20-314.159%29%5C%2C%5Bkm%5D)
And the direction <em>relative to</em> the <em>starting</em> point (
), in degrees, is found by following inverse <em>trigonometric</em> relation:
(2)
If we know that
and
, then the direction of Beatriz relative to the starting point of her trip is:
![\theta = \tan^{-1} \left(\frac{-314.159\,km}{48.670\,km} \right)](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Ctan%5E%7B-1%7D%20%5Cleft%28%5Cfrac%7B-314.159%5C%2Ckm%7D%7B48.670%5C%2Ckm%7D%20%5Cright%29)
![\theta \approx 278.806^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%20%5Capprox%20278.806%5E%7B%5Ccirc%7D)
The direction of Beatriz relative to the <em>starting</em> point of her trip is approximately
. ![\blacksquare](https://tex.z-dn.net/?f=%5Cblacksquare)
To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/21925479