The angle between the two tangents drawn from an external point to a circle and the angle subtended by the line segment joining the points of the contact at the Centre are supplymentary,
So,
15.) let the unknown angle be x
=》x + 55° = 180°
=》x = 180° - 55°
=》
16. let the unknown angle be n
=》n + 80° = 180°
=》n = 180° - 80°
=》
Answer:
The volume increases at a rate of
Step-by-step explanation:
The rate of change of the radius with respect to time is 4 mm / s.
So:
Now we must find a relationship between the volume of a sphere and its radius.
The equation of the volume of a sphere is:
So:
The diameter of the sphere is 100 mm. Therefore its radius is 100/2 = 50 mm.
So:
The volume increases at a rate of :
40000 π mm ^ 3 / s = 125663.71 mm^3/s
For this case we have by definition, if "y" varies directly with "x", then it is true that:
Where:
k: It is the constant of proportionality
We have the following equation:
So, as mentioned above we have to:
Answer:
Option B