Answer:
The unit vector u is (-5/√29) i - (2/√29) j
Step-by-step explanation:
* Lets revise the meaning of unit vector
- The unit vector is the vector ÷ the magnitude of the vector
- If the vector w = xi + yj
- Its magnitude IwI = √(x² + y²) ⇒ the length of the vector w
- The unit vector u in the direction of w is u = w/IwI
- The unit vector u = (xi + yj)/√(x² + y²)
- The unit vector u = [x/√(x² + y²)] i + [y/√(x² + y²)] j
* Now lets solve the problem
∵ v = -5i - 2j
∴ IvI = √[(-5)² +(-2)²] = √[25 + 4] = √29
- The unit vector u = v/IvI
∴ u = (-5i - 2j)/√29 ⇒ spilt the terms
∴ u = (-5/√29) i - (2/√29) j
* The unit vector u is (-5/√29) i - (2/√29) j
6x+2x=222, which means 8x=222. Thus, x=222/8, which is 27.75.
Answer:
<h2>
Step-by-step explanation:</h2>
First we have to found all the clothes that the manufacturer produces in 8 hours,
As given 120 clothes = produce in 1 hour
X clothes = produce in 8 hour
By cross multiplication, we get
X= 120*8
X= 960 total clothes produced in 8 hours
As also given that in each hour 5 clothes damaged ,so we can write as
5 clothes = damaged in 1 hour
Y clothes = Damaged in 8 hour
By cross multiplication we get
Y= 40 clothes damaged in 8 hour
So the total clothes that manufacturer produce with out damage clothe will be ,
Total normal clothes = X-Y = 960 - 40 = 920 clothes
Answer:
<u>The answer is option C. 6a-7</u>
Step-by-step explanation:
Given that
5(3a-1)-2(3a-2)=3(a+2)+v
Solve for v
∴ v = 5(3a-1)-2(3a-2) - 3(a+2)
∴ v = 15a - 5 - 6a + 4 - 3a - 6
∴ v = 15a - 6a - 3a - 5 + 4 - 6
∴ v = 6a - 7
<u>So the answer is option C. 6a-7</u>
Answer:
0
Step-by-step explanation:
no number of tanks will hold the same amount of fish. 83 is a prime number, no numbers can be equally divided into it
