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   What non-zero integer must be placed in the square so that     

   the simplified product of these two binomials is a binomial     

   If you put a 12 in that box you get  (3x + 2) (18x – 12)     

   which will simplify to                       (3x + 2) (  3x –   2) (6)     

                                                           (9x² – 4) (6)     

                                                            54x² – 24     

   _.     

   WHAT IS THE SURFACE AREA OF A SQUARE BASED PYRAMID WHOSE LATERAL FACES ARE

   ISOSCELES TRIANGLES WITH BASE LENGTH 10 INCHES AND LATERAL HEIGHT 8 INCHES.     

   Area_F  =  (1/2)(10 in)(8 in)     =    40 in²         Area of a single face     

                              4 • 40 in²     =  160 in²         Area of all four faces     

   Area_B  =  (10 in)(10 in)           =  100 in²         Area of base     

   the surfaces added together  =  260 in²         Area of entire pyramid     

   _.     

   10 to the power of 30     

   10³⁰ is a 1 followed by 30 zeros.     

   The number is most commonly called a nonillion     

   in the U.S. and the U.K., according to the internet.     

   _.     

   How do I put in the inverse of sin on this calculator?     

   Using the calculator in this forum, click the 2nd button.     

   The sin button changes to asin which stands for arcsin,     

   which is just another way to designate sin^–1.     

   _.     

The answers are -18, 2, and 10.

The answers are 4, -7, and 12.

The answer is 14, 20, -5, 2.

The answer is 4/5, -3/10, 1/20.

The answer is -1/7, 3/14.

The answers are -7, 5, 10, 30, -11, -18.

   The area of the playground needs to be 256 square yards . . . The playground will be rectangular.     

   In a different plan, the sides can be of any length as long as the rectangular area rem     

   Assuming integer sides,

   the playground can be      1  x  256     

                                             2  x  128     

                                             4  x    64     

                                             8  x    32     

                                    or    16  x    16     

   _.     

Linda, Miah, and Noah are all wearing hats with numbers on them. Each person adds the two numbers on the other two hats, and they come up with the totals 11, 17, and 28. What is the largest number that is on a hat?     

   a + b = 11     —>  b = 11 – a     

   a + c = 17     —>  c = 17 – a     

   b + c = 28     —>  (11 – a) + (17 – a)  =  28     

                                –2a + 28  =  28     

                                –2a          =  0     

   therefore     a = 0     

                      b = 11     

                      c = 17     largest     

   _.     

   which of the following is rational but is not also an integer?     

   A. square root of 25           =  5              rational, and integer     

   B. cube root of 9                =  2.08 • • •   neither rational nor integer     

   C. square root of 0.64       =  0.8           rational, but not an integer     

   D. cube root of -8              =  –2            rational, and integer     

   _.     

   A family spends 20% of its monthly income on food, 23% on rent, and 42% on other expenses and saves the balance.     

   If the family saves $360 per month, what is its monthly income?     

   20% + 23% + 42% = 85%     

   100% – 85% = 15% saved     

   15% • MI  = $360     

    0.15 • MI = $360     —>     MI  =  $360 / 0.15     

                                              MI  =  $2400     

   .     

   Jim's retirement party will cost $10.50 if he invites 7 guests.     

   If there are 10 guests, how much will Jim's retirement party cost?     

   Assume the relationship is directly proportional.     

   (10.50 $) / (7 guests)  =  1.50 $/guest     

   (1.50 $/guest) • 10 guests  =  15.00 $     

   _.     

   what is angle if opposite is 20 and hypotenuse 770?     

   angle "a"  =  sin^–1(²⁰/₇₇₀)     

                   =  sin^–1(0.025974)     

                   =  1.488^o     

   _.