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
25t means "25 times t" where t is some unknown number. It is a placeholder for a number.
To find what the number is, we undo what is happening to t. So we divide both sides by 25 to undo the operation "multiply by 25"
----------
25*t = 1125
25*t/25 = 1125/25 divide both sides by 25
t = 45
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<h3>Answer: 45</h3>
As a check, we can plug t = 45 into the equation and we should get the same value on both sides
25*t = 1125
25*45 = 1125 replace every t with 45
1125 = 1125 the answer is confirmed
<h3>Answer: Step-by-step explanation:
You have to make an addition with the individual times: 56.25+59.89+58.55+55.4=230.17 seconds. Now you should to convert it into a minutes and seconds. 1 minute= 60 seconds
2 minute= 120 seconds
3minute= 180 seconds
4minute= 240 seconds
In this way you they have 3 minutes and the remainder is 50 seconds.
So, the time for the team is 3 minutes and 50.17 seconds.</h3>
Answer:
12.8
Step-by-step explanation:
Here multiplication is done before addition.
Given
4.8 × 2 + 3.2 ← perform multiplication
= 9.6 + 3.2 ← perform addition
= 12.8
