A slide 4.4 m long makes an angle of 33 with the ground. How high is the top of the slide above the ground
1 answer:
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Answer:
Step-by-step explanation:
A 6 sided die has 6 outcomes.
Your sister picks from a 13 - slice plate meaning the fact that there are 13 outcomes.
There are 4 yellow slices so picking a yellow slice has a chance
You need to mutiply both displayed values to solve this problem.
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