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Which is the general form of the equation of the circle shown?

A
x squared plus y squared minus 4 x plus 2 y minus 4 is equal to 0
B
x squared plus y squared minus 4 x plus 2 y plus 2 is equal to 0
C
x squared plus y squared plus 4 x minus 2 y plus 2 is equal to 0
D
x squared plus y squared plus 4 x minus 2 y minus 4 is equal to 0
43

The measure of central angle QRS is 8 pi over 9 radians. What is the area of the shaded sector?

A
144 pi units squared
B
324 pi units squared
C
72 pi units squared
D
36 pi units squared
45

Which equation can be used to find m overarc MN ?

A
m overarc MN minus 150 is equal to 360
B
m overarc MN plus 150 is equal to 180
C
m overarc MN minus 150 is equal to 180
D
m overarc MN plus 150 is equal to 360
46

Which statement is true about whether cap A and cap b are independent events?

A
cap A and cap b are independent events because cap p times open paren cap A divides cap b close paren is equal to cap p times cap A is equal to 0 point 4 .
B
cap A and cap b are independent events because cap p times open paren cap A divides cap b close paren is equal to cap p times cap A is equal to 0 point 1 8 .
C
cap A and cap b are not independent events because cap p times open paren cap A divides cap b close paren is equal to 0 point 1 8 and cap p times cap A is equal to 0 point 4 .
D
cap A and cap b are not independent events because cap p times open paren cap A divides cap b close paren is equal to 0 point 4 and cap p times cap A is equal to 0 point 1 8 .
47

In the given diagram, tangent theta is equal to square root of 3 What is the value of m ?

A
the fraction with numerator square root of 3 and denominator 2
B
the fraction with numerator square root of 3 and denominator 3
C
2 square root of 3
D
square root of 3
48

What is the measure, in radians, of central angle POQ ?

A
4 pi over 3 radians
B
2 pi over 3 radians
C
3 pi over 2 radians
D
3 pi over 4 centimeters
49

Which angle is congruent to angle BAD ?

A
angle ACD
B
angle CAB
C
angle BCD
D
angle DBC
50

Which expression represents the volume of the prism?

A
15 x squared cubic units
B
30 x squared cubic units
C
20 x cubed cubic units
D
10 x cubed cubic units

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