9514 1404 393
Answer:
6.9
Step-by-step explanation:
The relevant relation is ...
Sin = Opposite/Hypotenuse
Substituting given values, we have ...
sin(35°) = x/12
x = 12·sin(35°) ≈ 6.883
The value of x is about 6.9.
Step-by-step explanation:
- 5x+12=6x+7 (opposite sides of a parallelogram are equal)
- 12=x+7 (subtract 5x from both sides)
- x=5 (subtract 7 from both sides)
- Now put x in any of the equations-- 5(5)+12=37 or 6(5) +7=37
We can say that:
8x = -2ax
8 = -2a
a = -4
22y = - 2by
22 = -2b
b = -11
37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10
With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10
P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0
Here is the answer from SparkNotes
http://www.sparknotes.com/math/algebra2/operationsonfunctions/section3.rhtml
