Geometry
All possible diagonals of a convex polygon are drawn. There are nine diagonals drawn from any one of the vertices. How many sides does this polygon have?
12
What is the base 10 value of the base 3 numeral 100110 ?
255
60 + 51 + 42 + 33 + 24 + 15
66
What are the two values of N that make this absolute value equation true?
|N-7| = 12
-5
19
The product of two consecutive whole numbers is 552. What is their sum?
47
How many inches long is a rectangle whose diagonal is 20 inches and whose width is 12 inches?
16
Using the symbol X as a sign of multiplication, what is the value of the following expression? Expression your answer in scientific notation.
(6x108) x (7x10-5) x (5x100) x (4x1012)
8.4 x 1017
Express your answer to the following as a decimal.
8-1 + 2-4 - 5-2 - 4-3
0.131875
Solve this inequality: - 4 ( 3C - 5 ) < 92
C > -6
or
-6 < C
A basic recipe for a delicious "punch" drink has the following ingredients: 1/2 gallon of apple juice 3 cups of lemon-lime soda 64 fluid ounces of pineapple juice 2 quarts of water 1 cup of lemon juice 1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces. How many quarts of punch will this recipe make ?
7 quarts of punch
How many centimeters are in the perimeter of triangle SLE ? All measurements are in centimeters. AS = 4, SM = 5, and LE = 9.
36 cm
Express the answer to the calculation below in scientific notation:
1.5 x 10-4 /75 x 102
2 x 10-8
If 72 +(square root of N-3) = 78, then what is the value of N2 - 17
1504
The graph represents the solution set of the inequality.*add graph*
-3|X+6|-17 >(or equal to) -86
What is the value of A + B ?
-12
If F:]G means F+G/F-G , then what is the value of ( 6:] 4 ) :]3 ?
4
Triangle ABC is equilateral. AB = 10 inches. The area of right triangle BCD is 120 square inches. How many inches are in the perimeter of quadrilateral ABDC ?
70
10110 is a base three numeral. What is its value in base 10 ?
93
Cubed Root of (212/(0.1)-6)
0.16
The graph below represents all values of A that make the accompanying absolute value inequality true. What is the absolute value of the difference B - C ?
53
Marlene walked her bike 360 meters from the bottom of a hill to the top in two minutes. She slid down the hill six times faster than she walked up the hill. How many seconds did it take her to slide down the hill?
20 seconds
An empty rectangular box has dimensions 12 cm by 9 cm by 36 cm as shown in the diagram (not drawn to scale). A bee trapped inside flew in a straight path from M to H. How many centimeters less did the bee fly than the spider that walked in straight paths from M to A to T to H ?
18 cm
The decimal (base 10) numeral 427.608 means
(4x102)+(2x101)+(7x100)+(6x1-1 )+(0x10-2)+(8x10-3).
The base 4 numeral 213.23 means
(2x42) + (1x41) + (3x40) + (2x4-1) + (3x4-2)
For each numeral, the "point" separates the whole number part from the fractional part.
Express the base 8 numeral 53.21 as a base 2 numeral, including the point.
101011.010001
What is the value of [(square root of the cubed root of 26) *(square root of 34) * (6th root of 14)]3
5832
Solve the following inequality for C:
5(C + 2) - 4(2C - 3) + 7(3C - 8) < - 6(0.5C - 9) - 64
Express your answer as a common fraction.
8/7
The ratio of A:B is 18 to 26.4. If A and B are whole numbers that are relatively prime (their greatest common factor is 1), then what is the sum of A + B ?
37