Rationalize the equation, then use it to solve the problem.The time T in seconds required for a pendulum of length L feet to make one swing is given by 
How long is a pendulum (to nearest hundredth of a foot) if it makes one swing in 3 seconds? Use 3.14 for ?.
What will be an ideal response?
T = 
; 7.30 ft
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Decide whether the statement is true or false.The circle with equation (x - 5)2 + (y - 1)2 = 49 has center at (-5, -1).
A. True B. False
Solve the problem. Round answers to the nearest tenth if necessary.An alien observer on Planet X can approximate distances in the sky by using his "hand" at arm's length. An outstretched hand is about 35 arc degrees, a clenched fist is about 25 arc degrees, and a thumb corresponds to about 1 arc degree. (i) If one clenched fist plus one outstretched hand covers the distance between two stars, about how far apart in arc degrees are the stars? (ii) The apparent size of Moon X as observed from Planet X is about 21 arc minutes. Approximately what part of an observer's thumb would cover Moon X?
A. (i) 50 arc degrees; (ii) approximately 
of a thumb
B. (i) 61 arc degrees; (ii) approximately 
of a thumb
C. (i) 26 arc degrees; (ii) approximately 
of a thumb
D. (i) 60 arc degrees; (ii) approximately 
of a thumb
Simplify the expression.
? 
A. 
B. 
C. 
D. 
Solve the problem.The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 100 seconds are required to make a 5-by-4 enlargement, find the time required for a 
enlargement.
A. 144 sec B. 216 sec C. 252 sec D. 180 sec