Answer:
H=5.0 (to the nearest 10th)
Step-by-step explanation:


 ≈4.99846
≈4.99846 
 
        
             
        
        
        
Lets assume the whole pie is 1, that is all fractions added together have to sum 1.
If Victor eats 1/6 out of 5/6, then the rest is 4/6 of the pie, that is the subtraction of those fractions.
        
                    
             
        
        
        
Answer: 21
Step-by-step explanation: 84/4 = 21
 
        
             
        
        
        
Answer:
486 mm
Step-by-step explanation:
solve each side on it's own first
First 2 rectangles: 288 mm all together
2 rectangle: 144 mm
Triangles: 54 mm
Then add rectangles and triangles:
288 mm + 144 mm + 54 mm = 486 mm
 
        
             
        
        
        
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 
 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:
 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:
 which returns an angle measure of 30.7. Plugging that all into the dot product formula:
 gives you a dot product of 96
 gives you a dot product of 96