Solve.The longest diagonal of a regular octagon (an eight-sided figure with all sides and angles equal) is directly proportional to the length of a side. If a regular octagon with sides 16 cm has a diagonal of length -16.22 cm, how long is the diagonal of an octagon with side 11 cm?
A. -23.59 cm
B. -10.85 cm
C. -0.11 cm
D. -11.15 cm
Answer: D
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Solve the problem.Joe invested $3000 at 7% compounded semiannually. In how many years will Joe's investment have tripled? Round your answer to the nearest tenth of a year.
A. 16 years B. 5.8 years C. 15.7 years D. 2.0 years
Rationalize the denominator. Assume all variables represent positive real numbers.
A. 9
+ 10
B. 7
- 6
C. 8
- 10
D. 8
- 6
Classify the system as either consistent or inconsistent.
A. Consistent B. Inconsistent
Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.
1. An “exercise” can be solved by simply applying a routine procedure, but a “problem” is not routine and requires a well-thought-out plan of attack. 2. If there are infinitely many numbers involved in a problem, the Guess and Test problem-solving strategy is indicated. 3. If 12 coins are arranged in the shape of an equilateral triangle, then there are 5 coins along each side. 4. If the fourth phase of problem solving,“Looking Back,” we should look for other ways to solve the problem even if we got the ‘right’ answer.