anonymous
  • anonymous
Please help with these 2 questions! Picture attached :)
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Directrix
  • Directrix
17. If a secant segment and a tangent segment are drawn to a circle from an outside point, the length of the tangent segment is the geometric mean between the length of the entire secant segment and the portion of the secant segment lying in the exterior of the circle. AC is to AD as AD is to AB 12/AD = AD/ 3 (AD)^2 = 12*3 AD = 6
saifoo.khan
  • saifoo.khan
@Directrix , can u please draw it? i want to see. thanks

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anonymous
  • anonymous
18. If sin theta = 0.56, theta is in quadrant 1 for theta in quadrant 1, |dw:1333264980197:dw| the remaining side can be found by Pyth. thm. =sqrt(1^2 - 0.56 ^2)=0.828 cos theta = 0.828 / 1 = 0.83
Directrix
  • Directrix
anonymous
  • anonymous
also, theta can be in quadrant 3. |dw:1333265221787:dw| this time, cos is -ve so, cos theta = -0.828 / 1 = -0.83
anonymous
  • anonymous
looks like this is similar triangle problem
anonymous
  • anonymous
Thank you SO MUCH. These questions have been killing me, and that really helped a lot, so thanks guys!
saifoo.khan
  • saifoo.khan
How you found 12? @Directrix
Directrix
  • Directrix
@saifoo.khan AC = 9 + 3 Check out the Power of a Point Theorems http://www.cut-the-knot.org/pythagoras/PPower.shtml
saifoo.khan
  • saifoo.khan
Ah! Thanks.
anonymous
  • anonymous
|dw:1333265478125:dw| A.A.A theorem
Directrix
  • Directrix
@CoCoTsoi --> Wouldn't the angle theta have to be in Quadrants I and IV? Those are the Quads where sine is positive. Just asking.
anonymous
  • anonymous
(12/CD)=(CD/9), thus CD=sqrt(108) \[x ^{2}=12^{2}-cd ^{2}\] \[x ^{2}=144-108 x^2=36 x=6
anonymous
  • anonymous
If it is at quadrant IV, sin would be -ve. but it is given that sin is +ve. so it is not at quadrant 4

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