Answer:
Step-by-step explanation:
The formula to find the angle between 2 vectors is
which is the dot product of u*v over the (magnitude of u times the magnitude of v). We also know that θ = 
. Filling in that formula requires us to find the dot product of u and v, which is
u·v = (2×(-6)) + (a×8) so
u·v = -12 + 8a. Then we need the magnitudes of both u and v:
and
Putting all of together looks like this:
. Cross multiply to get
which is tricky to simplify. You really need to know the rules for multiplying radicals to do this correctly. The simplification is
and we need to solve for a. Begin by squaring both sides to get rid of the square root to get:
100(8 + 2a²) = 256a² - 768a +576 and simplify some more by distributing through the parenthesis to get
800 + 200a² = 256a² -768a + 576. Combine like terms to come up with
0 = 56a² - 768a - 224 and we need to factor that. Assuming since you're this far in math (pre-calc or maybe late algebra 2) you know how to factor, when you do, you get values for a of - .285714... and 14.
Therefore, the value for a is 14. I checked it...it works
Answer:
In the table:
<u>select 7 pumpkins for Reagan.</u>
<u>select 6 pumpkins for Miles </u>
<u>and select 3 pumpkins for Norma.</u>
Step-by-step explanation:
Have a nice day! :-)
You are paying $1,583.45 extra. I don't think it's worth it.
Answer:
$271.00. Remember to put it in the right format
Step-by-step explanation:
So since its 35 dollars per day, we can first do 35*4 to get 140. So just for having the car, it costs 125 dollars.
Now to find the amount of money for the miles, we can do 730*0.20=146
Now we add those two amounts so we do 125+146=271.
So $271.00
Volume of a cylinder = π (radius)² (H)
Radius = 1/2 of the diameter = 1 inch
Volume = π (1)² (6) = 6 π = <u>18.8 cubic inches</u> (rounded)
But have you ever seen a soda can that's only 2 inches in diameter ? ?
