Can someone help me with #19
1 answer:
9514 1404 393
Answer:
38
Step-by-step explanation:
The graph shows all of the sides of the figure aligned with the axes except side ST. Its length can be found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((7 -(-5))² +(-2 -3)²) = √(144 +25) = 13
Then the perimeter is the sum of the side lengths:
13 + 4 + 12 + 9 = 38
The perimeter of STUV is 38 units.
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First, lets note that 
. This leads us with the following problem:
Lets add sin on both sides, and we get:
Now if we divide with sin on both sides we get:
Now we can remember how cot is defined, it is (cos/sin). So we have:
Now take the inverse of cot and we get:
In general we have
, the reason we have to add pi times n, is because it is a function that has multiple answers, see the picture:
Lets add sin on both sides, and we get:
Now if we divide with sin on both sides we get:
Now we can remember how cot is defined, it is (cos/sin). So we have:
Now take the inverse of cot and we get:
In general we have