Solve the problem.The minute hand of a clock is 6 inches long. How far does the tip of the minute hand move in 35 minutes? If necessary, round the answer to two decimal places.
A. 24.5 in.
B. 20.25 in.
C. 23.22 in.
D. 21.99 in.
Answer: D
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Use an Euler diagram to determine whether the syllogism is valid or invalid.All businessmen wear suits.Aaron wears a suit. ? Aaron is a businessman.
A. Valid B. Invalid
Translate the sentence into an equation. Use x to represent the unknown number. Do not solve.If 42 is increased by a number, the result is two-thirds of the number.
A. 42x = 
x
B. 42x = 
+ x
C. 42 + x = 
x
D. 42 + x = 
+ x
Simplify. 63 ÷ 12 - 9
A. 213 B. 72 C. 9 D. 8
Solve the problem.A boat crosses a river w feet wide along a straight path as depicted in the figure.
The boat travels a distance D, where 
Rewrite this expression using a reciprocal identity, and graph D(?) over 
with 
Interpret the plot, and determine D to the nearest foot for
src="https://sciemce.com/media/4/ppg__rre0509191659__f1q297g5.jpg" alt="" style="vertical-align: -4.0px;" />
A. D = w sec ? ; 307 feet
The shortest distance D is 100 feet and if ? = 90° , then the boat will not reach the other side of the river.
D
B. D = w sin ? ; 95 feet
The shortest distance D is 0 feet and the longest is 100 feet.
D
C. D = w csc ? ; 106 feet
The shortest distance D is 100 feet and if ? = 0° , then the boat will not reach the other side of the river.
D
D. D = 
; 33 feet
The shortest distance D is 0 feet and the longest is 100 feet.
D
