The angle between two vectors is given by:
cos (x) = (v1.v2) / (lv1l * lv2l)
We have then:
v1.v2 = (2, -5). (4, -3)
v1.v2 = (2 * 4) + (-5 * (- 3))
v1.v2 = 8 + 15
v1.v2 = 23
We look for the vector module:
lv1l = root ((2) ^ 2 + (-5) ^ 2)
lv1l = 5.385164807
lv2l = root ((4) ^ 2 + (-3) ^ 2)
lv2l = 5
Substituting values:
cos (x) = (23) / ((5.385164807) * (5))
x = acos ((23) / ((5.385164807) * (5)))
x = 31.33 degrees
Answer:
The angle between the two vectors is:
x = 31.33 degrees
A company has an annual electric bill of $495,000. Of that amount, 3/5 was billed during June, July, August, and September. On average, how much money was billed during each of those four months? A. $34,750 B. $74,250 C. $139,000 D. $417,000 so in conclusion just add up all those prices and you should get 7929$
He drank 420 cups of water in one month
For ever 4 inches, you have 25 miles. Therefore if you have only one, you multiply to find the other. Now, since you have miles, you need to find inches. Therefore, 120 divided by 4, because every 4 inches is equal to 25 miles. Your answer should be 30 inches
