0.003 is 1/10 of 0.03.
Just multiply the 0.003 by 10 and you'll get the answer.
U . v = |u| . |v| cos 60 = 10 * 8 * 0.5 = 40 This is called the scalar (or dot) product.
You can easily find this answer by thinking 1.6-1.2 and since they both have 1 whole you just minus 6-2.
In point slope form, required equation is given by (y - y1) = m(x - x1); where m = (y2 - y1)/(x2 - x1) = (4 + 1)/(8 - 2) = 5/6
Required equation is y + 1 = 5/6 (x - 2)
In standard form, 6y + 6 = 5x - 10 => 5x - 6y = 6 + 10 => 5x - 6y = 16
Answer:
These two triangles are <em>similar triangles. </em>This means that their side lengths are proportional to each other.
Thus, making line segment EC equal to "x", and BC equal to "y" we can write:
8/y = 28/(10+y)
The next step is to get rid of the fractions, which can be done by cross multiplying.
So we have:
8(10+y) = 28(y)
After distribution and some simplification, you should get the value of y.
80+8y = 28y
80 = 20y
80/20 = 20y/20
4 = y
y = 4
Knowing that y = BC, and y = 4, it is clear that BC = 4.
Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.
Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)
In our case, a and b are 8 and 4 (the order doesn't really matter here).
So we have: 8^2 + 4^2 = c^2
64 + 16 = c^2
80 = c^2
c = sqrt 80
c = 4 sqrt 5
And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.
Hope this helps!
