12. Calculator
Let m be any non-zero rational number. Let n be any irrational number.
Which value(s) is (are) irrational?
A
Only the product of in and n, mn, is irrational.
B.
Only the sum of m and n, m+n, is irrational.
C.
Neither the sum, m_n, nor the product, mn, of m and n is irrational.
D.
Both the sum, men, and the product, mn, of m and n are irrational.

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

146

step-by-step explanation:

ending amount = beginning amount / (2^n)

where "n" = number of half-lives (or elapsed time / half-life)

ending amount = 50 mg / (2 ^10 / 5.3)

ending amount = 50 mg / (2 ^ 1.8867924528)

ending amount = 50 m / 3.6981210597

ending amount = 13.5203794557 mg

or about 13.5 mg remain

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