By definition, the unit vector of v = (a,b) is
Therefore,
The unit vector of v₁ = (3,5) in the direction of |v₁| s
(3,5)/√[3² + 5²]
= (3,5)/√34
The unit vector of v₂ in the direction of |v₂| is
(-4,7)/√[(-4)² + 7²]
= (-4,7)/√65
Answer:
The unit vector of v₁ in the direction of |v₁} is
The unit vector of v₂ in the directin of |v₂| is
To do this, we first want to see how many participants there are in total by adding both males and females.
Now we know that there were 220 total participants, but only 121 were females.
This allows us to set up the fraction 121/220= the percent female.
or 55%
Answer:
Height of the building = 115.4 ft.
Step-by-step explanation:
Height of building = AB + 46.4 + CD + 30.5
By applying Pythagoras theorem in ΔABP,
(26)² = (10)²+ (AB)²
676 - 100 = AB²
AB² = 576
AB = 24 ft
By applying sine rule in ΔCDE,
cos(60°) = 
CD = CE × 
CD = 
CD = 14.5 ft
Total Height = 24 + 46.4 + 14.5 + 30.5
= 115.4 ft
Answer:
The answer to 75 - ( 8 + 45 ÷ 3 ) × 2= 29
Solution
- 89 gallons contains 40 gallons twice such that:
- This means that we can find at least 200% of 40 gallons in 89 gallons. This gives us what to expect.
- To get the percentage we are looking for, we should use the formula:
New, in this case, is 89 gallons, Old is 40 gallons.
- Thus, we can calculate the percentage as follows:
Thus, the answer is 222.5%
