Answer:
5sqrt(2)
Step-by-step explanation:
Z - Y
-i+5j+3k - (-6i+2j-k)
-i + 6i + 5j - 2j + 3k + k
5i + 3j + 4k
Magnitude:
sqrt(5² + 3² + 4²)
sqrt(50)
5sqrt(2)
His new position is 3.75 meters 12.25 - 8.5 = 3.75.
Her new position is 20 ft 9 1/2 + 10 1/2 = 20.
Answer:
$ 0.34 or 34 cents
Step-by-step explanation:
Bill amount = $31.18
sales tax = 6% of $31.18
= 0.06 ($31.18)
= $1.8708
Bill with tax = $31.18+$1.8708
= $33.0508
value of tip = 20% of 33.0508
= 6.61016
Total payment = 33.0508+ 6.61016
= $39.66096
or $39.66
We get change of $40 - $39.66
= $ 0.34
We shall get back in cents that will be 34 cents
3 reds in the 10 remaining cards
so that is 30% are red
We can use the sum of an aritmetic sequence
the sum from n=1 to n=r when the first term is a1 and the nth term is an is

first term is 1
last term is 100
there are 100 terms so n=100
so the sum is


S=5050
now you want us to divide by 10
5050/10=505
fun fact, gauss (famous math guy) did this when he was younger, legend has it that he was assigned this as an in class assigment to kill time but gauss found a neat pattern, he noticed that adding the end terms wer giving the same sum, example, 100+1=101, 2+99=101, etc, so he just needed to find al the pairs and add them all up
answer is 505
the result is 505