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tan A =  y /x = - 4 /-1  =  4

cot A =  x /y  = -1 /-4 =  1/4

The answer is 2/5.

The answer is 20.

A rectangular cow pasture is enclosed on three sides by a fence and the fourth side is part of the side of a barn that is 400 feet long. The fence costs $5 per foot, and $1200 altogether. To the nearest foot, find the length of the side parallel to the barn that will maximize the area of the pasture.     

For any quadrilateral, the greatest ratio of area to perimeter is when the quadrilateral is a square.     

The total length of fence which will form the three sides is 240 ft . . . obtained by (1200 $) / (5 $ / ft)     

Each of the fence sides will be 80 ft (1/3 of 240), the side of the fence parallel to the barn will be 80 ft     

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   If I put 60$ in an account that gets 7% and I add 15$ per year     

   Jan 1              Balance        Dec 31     EOY Balance     

   deposit 60         60.00           x1.07            64.20     

   add      15         79.20           x1.07            84.74     

   add      15         99.74           x1.07          106.73     

   add      15       121.73           x1.07          130.25     

   add      15       145.25           x1.07          139.37     

   You can keep the table going as long as you want.     

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The answer is (2 + 1/2)/2 = 5/4.

The possible values of k are 5/2 and -7/3.

     What is 12/9 divide by 2/3     

           ¹²/₉ / ²/₃     

      To divide by a fraction, invert the divisor and multiply.     

           ¹²/₉  x  ³/₂  =  ³⁶/₁₈     

                             =  2     

_.     

   Use the Distributive Property to solve the equation.     

   three fourths​(12a+8​)=31.2     

    (³/₄)(12a + 8)  =  31.2     

              9a + 6   =  31.2     

              9a         =  31.2 – 6     

                     9a  =  25.2     

                       a  =  2.8     

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   (x-5) (x+5) as quadratic in standard form     

   (x – 5)(x + 5)     

   multiply each term in one by each term in the other     

   (x – 5)(x + 5)  =  x² + 5x – 5x – 25          

                          =  x² – 25     

.     

   A:B=5:4 and A:C=6:5 then what is C:B=?     

   A/C = 6/5    —>    C/A = 5/6    —>    C = 5A/6     

   A/B = 5/4    —>    B/A = 4/5    —>    B = 4A/5     

                                                                           ^5A/₆            5A         5     

                                                             C/B  =  ––––––  =   –––– x ––––     

                                                                           ^4A/₅              6         4A    

   the A's cancel                                    C:B  =  25:24     

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   the voltage across a buzzer is 3v when the current through it is 2mA. what is the resistance     

   E = I • R     —>     R  =  E / I     

                                R  =  3 / 0.002     

                                R  =  1500 Ω     

_.     

The answer is 15/4.

What is the measure of an exterior angle in a regular polygon with 13 sides?     

Write your answer as an integer or as a decimal rounded to the nearest tenth.     

The sum of the exterior angles of any regular polygon is 360^o.     

Since a polygon that has 13 sides likewise has 13 angles, the     

value of any one of those exterior angles is 360^o / 13  =  27.7^o.     

_.     

   is 9 to the power of 1/2= square root of 9? also, what is 9 to the power of negative 1/2     

   is 9 to the power of 1/2= square root of 9?        9^(1/₂)  =  + 3     

   also, what is 9 to the power of negative 1/2      9^(–1/₂)  =  + 0.33333 • • •     

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   equation to standard form     

   y-5=5(x+3)     

   y – 5 = 5 (x + 3)     

   y – 5 = 5x + 15     

         y = 5x + 20     

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   what is (7x+8)° in a degree is it 95° 94° 93°or 92°?     

   consider 95 – 8 = 87   not evenly divisible by 7     

                 94 – 8 = 86   not evenly divisible by 7     

                 93 – 8 = 85   not evenly divisible by 7     

                 92 – 8 = 84   divided by 7, exactly 12     

   The only way to obtain an integer value is when x = 12.     

   So, assuming no rounding, the answer can only be 92^o.     

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   I need sum help     

   6 x + y =140 what is y if x is -2     

   6x + y  =  140     

   (6)(–2) + y  =  140     

   –12 + y  =  140     

             y  =  140 + 12     

             y  =  152     

_.     

Find the measure of the angle to the nearest degree. Sin = 15/40     

                    sin(x)  =  15/40     

                    sin(x)  =  0.3750     

                    sin^–1 (0.3750)  =  22.024^o  rounds to  22^o     

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   how do you find the axis of symmetry from y = (x-9)(x+5)?     

   You can tell from the factors that the parabola crosses the x-axis at +9 and –5.     

   The axis of symmetry is the vertical line halfway between these two crossings.     

   The axis of symmetry, i.e., the line halfway between (–5,0) and (+9,0), is x = 2.     

   _.     

   square root of 49     

   sqrt(49) = + 7      That's pronounced "plus or minus seven".     

   Everybody knows the square root of 49 is 7.  That part is easy.     

   Half of them forget that negative 7 is also the square root of 49.     

   _.