3. 28 Quarters and 5 dimes.
Take the vector u = <ux, uy> = <4, 3>.
Find the magnitude of u:
||u|| = sqrt[ (ux)^2 + (uy)^2]
||u|| = sqrt[ 4^2 + 3^2 ]
||u|| = sqrt[ 16 + 9 ]
||u|| = sqrt[ 25 ]
||u|| = 5
To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is
u/||u||
u * (1/||u||)
= <4, 3> * (1/5)
= <4/5, 3/5>
and there it is.
Writing it in component form:
= (4/5) * i + (3/5) * j
I hope this helps. =)
Answer:
We know that the kite with the tail is 15 feet and 6 inches. While 6 inches is 0,50 foot, it's 15,5 feet. If the lenght of the kite is x, then:
15,5 = x + 1,5 + 2x
15,5 = 3x + 1,5 / - 1,5 (both sides)
14 = 3x / : 3 (both sides)
x ≈ 4,66
The kite is approx .4,66 feet long. It means that the tail is about 15,5 - 4,66 = 10,84 feet long.
Answer:
A. (-1,-2)
Step-by-step explanation:
hope this helps :) and can i ask is that a leg next to the screen?
