Answer:
The vector that describes their hike from their starting position to their final destination is ![\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r%20%3D%207%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
.
Step-by-step explanation:
In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:
(i) <em>A group of hikers walks 3 miles east and then 1 mile north:</em>
![\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r_%7BA%7D%20%3D%203%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
(ii) <em>After taking a break, they then hike 4 miles east to their final destination:</em>
![\vec r_{B} = 4\,\hat{i}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r_%7BB%7D%20%3D%204%5C%2C%5Chat%7Bi%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:
(1)
![\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi]](https://tex.z-dn.net/?f=%5Cvec%20r%20%3D%20%283%5C%2C%5Chat%7Bi%7D%2B1%5C%2C%5Chat%7Bj%7D%29%2B4%5C%2C%5Chat%7Bi%7D%5C%2C%5C%2C%5C%2C%5Bmi%5D)
The vector that describes their hike from their starting position to their final destination is .
Answer:
(-2)*3= -6
Step-by-step explanation:
adding -2 three times is the same as multiplying by three
44 moths 176 butterflies 220/5 x 4 = 176
176 + 44 = 220
Answer:
The 25,000 adult American pine trees in the forest.
Step-by-step explanation:
Consider the provided information.
It is given that the forest contains 25,000 adult American pines. The study involves collecting heights from 250 randomly selected adult American pine trees and analyzing the results.
A population is the set of data which includes all of the elements. If one or more observations are drawn form the population then it called a sample.
Here the population is 25,000 adult American pines.
Thus, the required answer is: The 25,000 adult American pine trees in the forest.
Answer:
Step-by-step explanation:
complementary angles, when added, equal 90 degrees
so if 1 angle is x, then the other angle, its complement, is 90 - x.
x - 18 = 90 - x
x + x = 90 + 18
2x = 108
x = 108/2
x = 54
90 - x = 90 - 54 = 36
so one angle is 54 and its compliment is 36
