Angle θ between two vectors is given by,

; where

;

and

.
Therefore,
Answer:
240 visitors
Step-by-step explanation:
We are given the following in the question:
Percentage of visitors that are student to art museum = 60%
Total number of students to museum = 144
We have to find the total number of visitors to the museum.
Let x be the total number of visitors to the museum.
Thus, we can write the equation:

Thus, there were 240 visitors to the art museum on that day.
We have to a for its value 6, then multiply by its coefficient to then subtract.

<h2>Therefore, the expression is equivalent to 44.</h2>
Answer:
(2, -6)
Step-by-step explanation:
Because each equation is equal to y, you can plug the y equal to each other. Because one y is equal to -2x-2 and the other is 7x-20, you can set them equal to each other. So you should have
-2x - 2 = 7x - 20
The next step is to solve for x, which mean that x is 2, then plug 2 into one of the original equations ( it doesn't matter which one) and solve for y, and when you do that, you will get -6
Hi there! So the toy car was on sale for 20%, and the sale price is $64. To find the original price of the toy car, we can write and solve a proportion. Set it up like this:
64/x = 80/100
This is because 64 is part of the whole, which is the original price, and although you get a 20% discount, you still have to pay 80% of the original price, which is why 80 is over the 100, in stead of 20. Let's cross multiply the values. 64 * 100 is 6,400 and 80 * x is 80x. That leaves 6,400 = 80x. Now, divide each side by 80 to isolate the x. 80x/80 cancels out. 6,400/80 is 80. We found the number, but let's check it. 80 * 80% (0.8) is 64. There. x = 80. The regular price of the toy car was $80.