Answer: 108 degrees
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Explanation:
Angle ABC is given to be 90 degrees. By the converse of Thales Theorem, we know that AC is a diameter of the circle.
If we draw a line from A to C, it will pass through the center of the circle.
Therefore, arc AC is 180 degrees as this is half the distance around the circle.
minor arc AD = 72
minor arc CD = x
(minor arc AD) + (minor arc CD) = arc AC
72+x = 180
72+x-72 = 180-72
x = 108
minor arc CD is 108 degrees
w = 13
x = 9
y = 1.9
z = 0.5
w + x + y Plug in the numbers for each variable
13 + 9 + 1.9
22 + 1.9
23.9 The third option is your answer
Slant height is about 8.544.
Lateral area is about 96.93.
Surface area is about 144.93.
Volume is 96^3.
P(first 2 rolls = 6 and rest not 6) = 1/6 * 1/6 * (5/6)^6 = 0.00930272
there are 8C2 ways of obtaining exactly 2 6's in 8 throws = 28 ways
so required probability is 0.00930272 * 28 = 0.26 to nearest hundredth