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:
Glass A
Step-by-step explanation:
Volume = п r ² h
п = 3.14 aprox.
r = radius = diameter/2
h = tall
volume = 3.14 * (84/2)² * 175
volume = 3.14 * 42² * 175
volume = 3.14 * 1764 * 175
volume = 969318mm³
volume = 3.14 * (96/2)² * 125
volume = 3.14* 48² * 125
volume = 3.14 * 2304 * 125
volume = 904320mm³
Answer:
969318 > 904320
then:
Glass A holds more liquid
Answer:
y=2
Step-by-step explanation:
7y-1=13
+1 +1
7y=14
/7 /7
y=2
Answer: 2.325 meters
Step-by-step explanation:
The roof of a lean-to-garden shed has a gradient of 0.35.find the height....they have given the base as 1.5m and a shorter height 1.8m its like a house
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It sounds like you have a right triangle with base = 1.5,
----
Use a proportion to get:
(height of that triangle)/1.5 = 35/100
height of that triangle = 1.5*0.35 = 0.5250
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greater height of the lean-to = 1.8 + 0.5250 = 2.325 meters
Answer:
you just add the top numbers and then if its over the denominator you simplify
Step-by-step explanation:
7/9 + 4/9
10/9
1-1/9
