I think that the right answer for this question is 6
Recall that for 3 vectors
, all in
, the vector triple product

So

Also recall the scalar triple product,

which gives the signed volume of the parallelipiped generated by the three vectors
. When either
or
, the parallelipepid is degenerate and has 0 volume, so

and the above reduces to

so that
![(u\times v)\cdot[(v\times w)\times(w\times u)]=(u\times v)\cdot((v\times w)\cdot u)w](https://tex.z-dn.net/?f=%28u%5Ctimes%20v%29%5Ccdot%5B%28v%5Ctimes%20w%29%5Ctimes%28w%5Ctimes%20u%29%5D%3D%28u%5Ctimes%20v%29%5Ccdot%28%28v%5Ctimes%20w%29%5Ccdot%20u%29w)
The scalar triple product has the following property:

Since
is a scalar, we can factor it out to get

and by the property above we have

and so we end up with
![[u\cdot(v\times w)]^2](https://tex.z-dn.net/?f=%5Bu%5Ccdot%28v%5Ctimes%20w%29%5D%5E2)
as required.
Since you are solving for diameter, and the equation is given to you, just isolate the variable for diameter (d).
(C)/π = (πd)/π
d = C/π is your formula you will use.
Plug in 56 for C
d = 56/π
d = ~17.825
~
Answer and Step-by-step explanation:
<u>You should pick Spinner A.</u> There is a high chance of getting red since there are three pieces of the spinner that has red on it, while Spinner B only has 2 instances of red.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
Step-by-step explanation:
just simplify the LHS first.
You can either multiply 1/5 by (x+3) and then solve
or
multiply both sides by 5 to get rid of 1/5 on LHS
I will multiply by 5
(x+3)= -10x-15 ( 5*1/5(x+3)= -5(2x+3)
now rearrange the equation
x+3=-10x-15
-10x-15-x-3=0
-11x-17=0
-11x=17
x= -17/11