All Answers 359250 Answers

   The number of diagonals in a certain regular polygon is equal to $2$ times the number of sides.     

   How many sides does this polygon have?     

   Using the formula for the number of diagonals D of a polygon with n sides     

                          n (n – 3)     

                D  =  ––––––––     

                              2     

               and it's given that D = 2 n, therefore     

                          n (n – 3)     

               2 n =  ––––––––     ==>>  4n  =  n² – 3n     ==>>     n² – 7n  =  0     

                              2                                                               n (n – 7)  =  0     

                                                                                                           n  =  0     

                                                                                                           n  =  7     

   _.     

   Find the perimeter of an isosceles triangle with base length 24 and area 200.     

   A = ¹/₂ b h     ==>>     200 = 12 h     ==>>     h = 16.67     

   c² = a² + b²  ==>>     c² = 12² + 16.67²     ==>>     c² = 144 + 277.78     

                                                                                    c² = 421.78     

                                                                                    c¹ =   20.54     

   Perimeter = 24 + 20.54 + 20.54 =  65.08     

   _.     

   how do you make a fraction on the calculator?     

   The forum calculator has no Make Fraction button.     

   You have to create the fraction one piece at a time.     

   •  Click the open parenthesis     

   •  Type in the numerator     

   •  Click the obelus button     

   •  Type in the denominator     

   •  Click the close parenthesis     

   _.     

The answer is 14.

The answer is 4.

The answer is 33/2.

The answer is 21/2.

   How do I put an number over the other number     

   There's no Make Fraction button on this calculator.     

   You have to build the fraction the long way around.     

   •  Click the open parenthesis     

   •  Type in the numerator     

   •  Click the obelus button     

   •  Type in the denominator     

   •  Click the close parenthesis     

   _.     

   Compute \angle AGD, in degrees.     

   In triangle AGD, A = 30 degrees and D = 70 degrees.     

   angles of every triangle total to 180^o     

   angle G = 180^o – (30^o + 70^o)  =  80^o     

   _.     

   We have a piece of wire.  We pass $500$ volts through this wire and measure $25$ milliamps of current.     

   If I cut the wire in half and pass $175$ volts through it, how many milliamps of current will I measure?     

   V = I • R     ==>>     R = V / I     ==>>     R  =  500 Volt / 25 mA     

                                                                  R  =  500 Volt / 0.025 Amp     

                                                                  R  =  20,000 Ω     

   V = I • R     ==>>     I = V / R     ==>>     I  =  175 Volt / 10,000 Ω     

                                                                  I  =  0.0175 Amp     

                                                                  I  =  17.5 mA     

   _.     

The answer is 24.

The answer is 18.

SR = 8 and QR = 12.

The answer is OA*OB and OC*OD.

Kathy Bransbury has a large piece of land in the country. Her land is a square plot and the northern edge is in a perfect east/west line (so is the southern edge if you think about it). The road enters her land at a point on the western edge 3 miles due south of the northwest corner and 7 miles as the crow flies from the north east corner. What is the area of the land in square miles?     

   by Pythagoras Theorem             7²  =  3² + S²   where S is the north edge of her square plot     

                                                      S²  =  7² – 3²  =  49 – 9     

                                                      Area  =  S²  =  40 square miles     

   _.      

   Mr. Jarvis invests a total of $6,853 in two savings accounts.     

   One account yields 7% simple interest and the other 6.5% simple interest.     

   He would like to find the amount placed in each account if a total of $459.15 in interest is received     

   after one year. Which system of linear equations below expresses this problem?     

   There are no choices shown below the problem, but here's an equation     

   you can use to solve the problem.  I trust that it's self-explanatory.     

   [ 0.07 • X ]  +  [ 0.065 • (6853 – X) ]  =  459.15     

   _.     

I have to paint one side of a wall.  The wall is $15$ meters tall and $60$ meters long.  Each gallon of paint covers $400$ square feet. If a foot is approximately $0.3048$ meters, then what is the smallest whole number of gallons I can buy and have enough paint to cover the whole wall?     

   1 ft = 0.3048 m     —>     1 m = (1 / 0.3048) ft = 3.2808 ft     

   H_wall = (15)(3.2808) ft =   49.212 ft     

   L_wall  = (60)(3.2808) ft = 196.848 ft     —>     Area_wall = (49.212 ft)(196.848 ft)     

                                                                                        = 9687.284 sqft     

   Paint req'd     —>     (9687.284 sqft) / (400 ^sqft/_gallon)  =  24.218 gal     

                 You can't buy 0.218 gallon, so you need to buy 25 gallons.     

   _.     

Laverne starts counting out loud by 5's.  She starts with 2.     

As Laverne counts, Shirley sums the numbers Laverne says.     

When the sum finally exceeds 100, Shirley runs screaming from the room.     

What number does Laverne say that sends Shirley screaming and running?     

   Laverne   Shirley     

         2             2     

         7             9     

       12           21     

       17           38     

       22           60     

       27           87     

       32         119     

   _.