Solve the problem. Round to the nearest tenth if necessary.A 22-foot ladder is leaning against a house with the base of the ladder 6 feet from the house. How high up the house does the ladder reach? If necessary, round to the nearest tenth foot.
A. 21.8 ft
B. 16 ft
C. 22.8 ft
D. 21.2 ft
Answer: D
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Given a group of students: 
or 
list and count the different ways of choosing the following officers or representatives for student congress. Assume that no one can hold more than one office.Three representatives, if two must be male and one must be female
A. ACB, ACD, AEB, AED, CEB, CED, DEC, BEC, DEA, BEA, DCA, BCA; 12 B. ACB, ACD, AEB, AED; 4 C. ACB, ACD, AEB, AED, CEB, CED; 6 D. ABC, CDE; 2
Solve the indicated equation analytically.The output voltage for an AC generator is approximated by 
Find the smallest positive value of t for which the output is 149 volts.
A. t = 0.0082 B. t = 0.0036 C. t = 0.0026 D. t = 0.0072
Factor.(x + 5)2x2 - (x + 5)12x
A. (2x2 - 12x)(x - 5) B. 2x(x + 6)(x + 5) C. 2x(x - 6)(x + 5) D. (2x2 + 12x)(x + 5)
Provide an appropriate response.Consider the sample space of 36 equally likely outcomes to the experiment in which a pair of dice is rolled. Determine whether the events E and F are mutually exclusive.E: One of the numbers is four.F: The sum is greater than 12.
A. Yes B. No