Answer:
The length of AC is 222 units.
Step-by-step explanation:
Given AC and AE are common external tangents of G and D.
BC= 123 , GB=20 and AG=101.
We have to find the measure of AC.
As, a straight line joined from the center i.e radius is perpendicular to tangent drawn. Therefore,
In ΔABG, by Pythagoras theorem

⇒ 
⇒ 
⇒ AB=99 units.
Hence, AC=AB+BC=99+123=222 units.
The length of AC is 222 units.
Answer:
c = –13
Step-by-step explanation:
by property of tangent line, equation
x² – x – 12 = x + c
x² – 2x – 12 – c = 0
has only one solution, which mean
– 12 – c = 1
c = –13
Answer:
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
Step-by-step explanation:
Given;
diameter of the hemisphere, d = 14 cm
radius of the hemisphere, r = d/2 = 14/2 = 7 cm
The volume of the hemisphere is calculated as;

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
Answer:
0.5152
Step-by-step explanation: