Which describes how square S could be transformed to square S' in two steps? Assume that the center of dilation is the origin.
2 answers:
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Answer:
cos(θ) = 3/5
Step-by-step explanation:
We can think of this situation as a triangle rectangle (you can see it in the image below).
Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.
Here we want to find cos(θ).
You should remember:
cos(θ) = (adjacent cathetus)/(hypotenuse)
We already know that the adjacent cathetus is equal to 3.
And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:
3^2 + 4^2 = H^2
We can solve this for H, to get:
H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5
The hypotenuse is 5 units long.
Then we have:
cos(θ) = (adjacent cathetus)/(hypotenuse)
cos(θ) = 3/5
Bar model<span>. Visual representation of a number using unit cubes, lines (of 10 cubes), sheets (of 100 cubes) and boxes (of 1000 cubes). Used in pictorial approach to solving addition and subtraction problems.</span>
has divergence
Then by the divergence theorem, the flux of across
is equal to the integral of
over the interior of
. In cylindrical coordinates, this integral is