-1/2
(2,-5) (4,-6) =-6+5/4-2=
-1/2
<span>The simplest method to do this is with the vector dot
product. Let the vector A = <9i + 5j> with magnitude √106 be the base
diagonal, and B = <5j + 3k> be the diagonal vector on the side, with
magnitude √34. Then cos θ = (A dot B) divided by the product of the magnitudes.
A dot B =30, so
cos θ = 30 / √(34 x 106)</span>
<span> = 0.4997 ==></span>
<span> θ = 49.19° is the
answer</span>
Answer:
x (6v+7) x (3v+2)
Step-by-step explanation:
18v^9 + 33v^8 +14v^7
Factor out v^7 from the expression
v^7 x (18v^2+33v+14)
write 33v as a sum
v^7 x (18v^2+21v+12v+14) *like this 21v+12v
Factor out 3v from the expression
v^7 x (3v x (6v+7)+12v+14)
Factor out 2 from the expression
c^7 x (3v x (6v+7)+2(6v+7)
Factor out 6v+7 from the expression
v^7 x (6v+7) x (3v+2)
Answer:
Volume = 200.96 cubic feet
Step-by-step explanation:
Volume of a cone is given by the formula 
Where r is the radius and h is the height
Given r = 4 and height is 3 times that. So height is 4*3 = 12
Plugging these into the formula we get:
Volume of Cone = 
Thus, Volume = 200.96 cubic feet