Bosco

   44/48 = n/36     

    44         n     

   –––  =  –––     

    48        36     

   cross multiply     

   36 • 44  =  48 • n     

         48n  =  1584     

             n  =  1584 / 48     

             n  =  33     

   _.     

   Fill in the blanks to make the equation true.     

   (___)^{-1/3} = (___)^{-1/2}     

    -72 -45 -9 -4 -18 -27 -64 -16 -25     

   Okay, the cube root of 64 is 4     

   and the square root of 16 is 4     

   but I can't make the square root of –16 work     

   with the negative sign inside the parentheses.     

   .     

   Fill in the blanks to make the equation true.     

   sqrt(___) + sqrt(___) = sqrt(___)     

   12 28 42 60 4 9 18 27 56 8 16 50 25 40 1 44     

   One solution is sqrt(4) + sqrt(9) = sqrt(25)     

   There might be other solutions.     

    I stopped looking when I found one.  

   edited to add another:  sqrt(1) + sqrt(16) = sqrt(25)     

_.     

The formula for the area of a trapezoid is A=1/2h(b1+b2) if teh area of the trapezoid is 847 square centimeters and it's height is 60.5 centimeters. Which of the following could be the length of one of the bases?     

A  26 cm        B  29 cm        C  32 cm        D  35 cm     

Area  =  (¹/₂) • h • (b₁ + b₂)     

  847  =  (¹/₂) • 60.5 • (b₁ + b₂)     

  847  =  (30.25) • (b₁ + b₂)     

(b₁ + b₂)  =  847 / (30.25)     

(b₁ + b₂)  =  28     

The answer has to be A because     

all the other answers are too large     

to add the other base to.     

check answer     

Area  =  (¹/₂) • h • (b₁ + b₂)     

          =  (¹/₂) • 60.5 • (26 + 2)     

          =  (¹/₂) • 60.5 • (28)     

          =  847   True     

   _.     

   How do I do the perimeter of a rectangle which has square roots in the length and width, for example:     

   Length = 8 + sqr(3) and Width = sqr(6).     

   The same as the usual way.  Don't let funny looking numbers scare you.     

   P  =  2L + 2W     

   P  =  (2 • (8 + sqrt(3) ) )  +  (2 • sqrt(6) )     

   P  =  16 + 2sqrt(3) + 2sqrt(6)     

   P  =  16 + (2 • (sqrt(3) + sqrt(6) )     

   Or you can use the square root function on a calculator to get the values.     

   P  =  (2 • (8 + 1.732) )  + (2 • 2.449)     

   P  =  (2 • 9.732) + (2 • 2.449)     

   P  =  19.464 + 4.898     

   P  =  24.362     

   _.     

25 squared plus 15 squared     

easy peasy . . . 625 + 225  =  850     

Do you know the quick way to find the square of a number that ends with a 5?     

Let "n" represent an integer:  To square n5     

set the 5 off to the side and change it to 25,        n                 25     

add 1 to n, and multiply them together,                n (n+1)        25     

bring the 25 back to the product n (n+1).     

example:           square 35                                    3           25     

                                                                              3 • 4      25     

                                                                              1225     

                           square 85                                    8           25     

                                                                               8 • 9      25     

                                                                               7225     

_.     

   elizibeth needs 3.4 metres of material to make her costume for the school play,     

   the material costs £3.20 per meter. how much does she have to pay?     

   3.4 ^meter/₁  •  3.20 ^£/_meter  =  

   cancel units ; cancel "meter"     

   3.4 • 3.20 £  =  10.88 £     

   _.     

   How do you find the area of an octagon?     

   You could divide it into sections (e.g., eight triangles) and figure it up that way.     

   Or, the formula for the area of a regular octogon is:  A  =  2 • ( 1 + sqrt(2) ) • a²     

                                                                                              where a = one side     

   _.     

   Whats the rate of change     

   6y=8x-40     

   6y  =  8x – 40     

     y  =  ( ⁸/₆ ) x + a constant     

     ^dy/_dx  =  ⁸/₆     

  _.     

   4 to the power of 4 = 16     

   No it doesn't.  4⁴  =  4 • 4 • 4 • 4  =  256     

_.     

   how do you answer this question     

   (-1 2/3) to the 3rd power     

   I wouldn't try to juggle it as a mixed number.     

   I'd convert it to a fraction for the calculation.     

      – 1 ²/₃  =  – ⁵/₃     

     (– ⁵/₃ )³  =  – ¹²⁵/₂₇  =  – 4 ¹⁷/₂₇     

 _.     

   what is -4 and 2/7 is it a rational or irrational     

   –4       rational.  It can be expressed as a ratio: –4/1 or 4/–1     

   2/7      rational.  It can be expressed as a ratio:  2/7     

   –4²/₇   rational.  It can be expressed as a ratio:  –30/7 or 30/–7     

 _.     

   whats pie     

   Actually spelled "pi", the English spelling of the lowershift Greek letter,     

   π is a mathematical constant used for calculations involving circles or     

   circular functions.  It is the ratio of the circumference of a circle to its     

   diameter.  The quotient of the circumference divided by the diameter is     

   always approximately 3.14159 and this is true for any and every circle,     

   no matter which circle is used.  You can get a slightly different wording     

   of the definition if you look up "pi math definition" on the internet.     

_.