Answer:
A, C, B, respectively
Step-by-step explanation:
science(density and buoyancy)
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)
![=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)
![\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)
Therefore the angle between the 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)
Its c 33 degrees this is because all triangles have a sum of 180 and if you subtract the other angles from 180 you get 33
Answer:
v = -1
Step-by-step explanation:
-4 (-3 + 7v) = -7v + 33
12 -28v = -7v + 33
-12 -12
-28v = -7v + 21
-28v + 7v = 21
-21v = 21
-21÷-21 = 21÷-21
v = -1
Answer:
There are 1419.5 ml in 3 pints
Step-by-step explanation:
The pint is a unit used to measure volume. When measuring many cups of liquid all put together we might want to use quarts.
A quart (qt) is the same thing as 4 cups or 2 pints.
1 quart = 2 pints = 4 cups
Now we have to find how many ml in 3 pints.
1 pint = 473.17647 ml
Now multiply the quantity of pint given in the question by 473.17647 ml.
3 * 473.17647
= 1419.52941 ml
By rounding off we get:
=1419.5 ml
Thus there are 1419.5 ml in 3 pints....