Answer:
The angle between the given vectors u and v is ![\theta=cos^{-1}\left[\frac{3}{\sqrt{10}}\right]](https://tex.z-dn.net/?f=%5Ctheta%3Dcos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B3%7D%7B%5Csqrt%7B10%7D%7D%5Cright%5D)
Step-by-step explanation:
Given vectors are 
and 
Now compute the dot product of u and v:
Now find the magnitude of u and v:
To find the angle between the given vectors
![\theta=cos^{-1}\left[\frac{\overrightarrow{u}.\overrightarrow{v}}{|\overrightarrow{u}|\overrightarrow{v}|}\right]](https://tex.z-dn.net/?f=%5Ctheta%3Dcos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B%5Coverrightarrow%7Bu%7D.%5Coverrightarrow%7Bv%7D%7D%7B%7C%5Coverrightarrow%7Bu%7D%7C%5Coverrightarrow%7Bv%7D%7C%7D%5Cright%5D)
![=cos^{-1}\left[\frac{15}{5\times \sqrt{10}}\right]](https://tex.z-dn.net/?f=%3Dcos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B15%7D%7B5%5Ctimes%20%5Csqrt%7B10%7D%7D%5Cright%5D)
Therefore the angle between the vectors u and v is
Answer:
1.5 million
Step-by-step explanation:
To find this you need to find 60% of the 2.5 million people. To do this, multiply 2.5 million by .6, which is 60% in decimal form, and then you'd get 1.5 million.
B. 55,000,000 from 54,860,000
Answer:
$3.61
Step-by-step explanation:
let p represent pizza and d represent drink, then
8p + 6d = 39.5 → (1)
5p + 7d = 30.44 → (2)
Multiplying (1) by 7 and (2) by - 6 and adding will eliminate d
56p + 42d = 276.5 → (3)
- 30p - 42d = - 182.64 → (4)
Add (3) and (4) term by term
(56p - 30p) + (42d- 42d) = (276.5 - 182.64), that is
26p = 93.86 ( divide both sides by 26 )
p = 3.61
That is a slice of pizza costs $3.61
