Answer:
the answer is 3/8
Step-by-step explanation:
multiply 9/10 by 5/12 then you get the answer 3/8
Answer:
280.19 ft³
Step-by-step explanation:
1. put value of "pie".
2.put value of r.
3. 4³=64
4. multiply all the upper number=5632
5. multiply denominator/ LCM= 21
6. 5632÷21= 268.19 ft³
1. Harriet Tubman had escaped from Slavery but wanted to help her family members escape as well, after she helped her family, she continued to help bring other African American slaves to Pennsylvania (the north) where they would be free as well.
(Sorry this is only one that I'm sure of!! Good luck :-)!!! )
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