5sin(x)=-3cos(x)
sin(x)=-3/5 cos(x)
tan(x)=-3/5
x = arctan(-3/5)
Volume without holes = 3 x 6 x 11 = 198 cubic inches.
Calculate volume of one hole:
3.14 x 0.5^2 x 3 = 2.355 cubic inches
There are 3 holes: 3 x 2.355 = 7.065
Subtract volume of the holes from the brick:
198 - 7.065 = 190.935 cubic inches.
Rounded to the nearest tenth: 190.9 cubic inches.
Given two vectors

they are parallel if they are a multiple of each other:

You can easily test this by checking if

they are orthogonal if their dot product is null:

For example, in the first case, we have

So, they aren't parallel. Similarly, you have

So, they aren't orthogonal.
In the second case, we have

So, they aren't parallel, and

So, they are orthogonal.
Finally, we have

So, they are parallel (and thus can't be orthogonal)
$25.99x
Step-by-step explanation:
As, for 1 song = $0.99 + $25
So, 1 song = $25.99
So, x song = $25.99 multiplied by x
Which is = $25.99x
So answer = $25.99x
Answer: 5
Step-by-step explanation:
You see 2x2 = 4 right and since this is operation 2 / 10 = 5 and 6-5 = 1 so add 1 and that gives you 5
2x2 = 4 / 10/2 = 5 / 6-5 = 1 +4 = 5