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. If a right triangle has one leg that is 2 cm long and another leg that is 3 cm long, the area of the
triangle is 3 cm2
2. All rectangles with the same perimeter have the same area.
3. All parallelograms with the same area have the same perimeter.
4. The perimeter of a 3" by 1" rectangle is 8 sq.in.
5. The area of a right triangle with legs a and b is one-half the area of a rectangle with dimensions a and b.
1. T
2. F: There are many counterexamples
3. F: There are many counterexamples
4. F—The perimeter = 8 inches.
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Solve the problem.Gloria collected 35 fantail and comet goldfish. There were 3 fewer fantails than comets. How many comets did Gloria have?
A. 32 comets B. 11 comets C. 19 comets D. 16 comets
Solve the problem.Mark can remember only the first 5 digits of his friend's phone number. He also knows that the number has 7 digits and that the last digit is not a 0. If Mark were to dial all of the possible numbers and if it takes him 17 seconds to try each one, how long would it take to try every possibility?
A. 25.5 min B. 2.8 min C. 28.3 min D. 5.7 min
Solve the problem.Andy has 12 coins made up of quarters and half dollars, and their total value is $5.25. How many quarters does he have?
A. 9 quarters B. 11 quarters C. 8 quarters D. 3 quarters
Find the inverse of the function.f(x) = 
+ 1
A. f-1(x) = (x + 1)3
B. f-1(x) = x3 - 1
C. f-1(x) = (x - 1)3
D. f-1(x) = 
- 1