Answer:
Step-by-step explanation:
The formula for the dot product of vectors is
u·v = |u||v|cosθ
where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.
which is 
which is 
I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.
We also need the angle, which of course has its own formula.
where uv has ITS own formula:
uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.
uv = 96.
To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:
which returns an angle measure of 30.7. Plugging that all into the dot product formula:
gives you a dot product of 96
.8= 8/10
8/10= 4/5 (reduced)
4 4/5= 24/5
hope this helps
Answer:
cubic blocks
Step-by-step explanation:
The given parameters are:
Required
Number of cubic blocks to fill the tank
To do this, we simply calculate the volume of the tank by:
This gives:
Simplify
Express as mixed numbers
3.25 you just subtract 3.75 from 7
Hope this helps!
Answer:
85 Necklaces and ----- Bracelets.
Step-by-step explanation:
500 Divided by 2 = 250, The 500 is the amount in total,The 250 is the amount of bracelets and necklaces needed for 500$ To be a accurate number for 'Sarah's ' Situation. Now 250 divided by 2 is 125. It was divided by 2 so it can be the amount the bracelets cost. Or instead of dividing to get 250, You can multiply and do 2x125=250, So them add Go on from there, Its not to hard but if you need more help I'm here!
Now for the necklace portion of it. 3x80=240, So she sold 80 necklaces. Than sold 3 more. Now you have a total of 250.
