Three times a certain number is added to 5 and the result is 20? What's the number?
2 answers:
Answer:
The number is 5
Step-by-step explanation:
First of all we have to convert the given scenario in mathematical or algebraic expression.
Let x be the number
Then according to given statement, the equation will be:
"Three times a certain number"
"is added to 5"
"the result is 20"
Using Subtraction property of Equality
Using division property of equality
Hence,
The number is 5
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Answer:
Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel
And the anfle is approximately
Step-by-step explanation:
For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.
a=[1,2,-2], b=[4,0,-3,]
The dot product on this case is:
Since the dot product is not equal to zero then the two vectors are not orthogonal.
Now we can calculate the magnitude of each vector like this:
And finally we can calculate the angle between the vectors like this:
And the angle is given by:
If we replace we got:
Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel
And the anfle is approximately