Draw a Venn diagram for the given sets. In words, explain why you drew one set as a subset of the other, disjoint sets, or overlapping sets.astronauts and fathers
What will be an ideal response?
The sets are overlapping. It is possible for a person to be both an astronaut and a father, but not all astronauts are fathers and certainly not all fathers are astronauts.
Mathematics
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Provide an appropriate response.Derive a formula for the area of a circumscribed regular n-sided polygon for a circle of radius r.
What will be an ideal response?
Mathematics
The triangles are similar. Find the missing length x and the missing angles A, B, C.
A. x = 24; A = 25; B = 5; C = 150 B. x = 12; A = 25; B = 5; C = 150 C. x = 24; A = 5; B = 25; C = 150 D. x = 12; A = 150; B = 5; C = 25
Mathematics
Evaluate the exponential expression.-103
A. -1000 B. 1000 C. 30 D. -30
Mathematics
Use a double-angle identity to evaluate the expression.cos 
, x > 0
A. 1 + 
B. 1 - 2x2
C. 
D. 1 + 
Mathematics