Stacy wants to build a triangular sand box for her son. Using the figure below, calculate the area of the triangular box, writing the answer as a polynomial.

(Hint: A=1/2bh)

A=(3x+2)*(4x-5)/2

Determine the annual break even volume : 1. The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $60,000. The variable cost of recapping a tire is $9. The company charges $25 to recap a tire. A) For an annual volume of 12,000 tires, determin.. |

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Calculate the area of the triangular box : Calculate the area of the triangular box |

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## Find the angles at the corners of the propertya triangular lot has dimensions 20.6 m, 31.4 m and 38.3 m. Find the angles at the corners of the property. |

## What does best rental charge per day and per mileBest Rentals charges a daily fee plus mileage fee for renting its cars. Barney was charged $105 for three days and 300 miles, while Mary was charged $193 for 5 days and 600 miles. What does Best Rental charge per day and per mile? |

## Find r and theta so that the perimeter is smallestA circular sector with radius r and angle theta has an area . Find r and theta so that the perimeter is smallest when A=2 and A=10. |

## What is the top speed of the trainYou solution must contain all work necessary to solve the problem. In addition, you must include complete explanation of your reasoning and the explanations of the steps you took toward the solution. |

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## Is the velocity of the car increasinga car is travelling on a straight road with velocity 55 ft/sec at time t=0. for 0 |

## Consider the three numbers prove thatnbsp thenbspconsider the three numbers651000 - 82014 - 31773nbsp 791212 - 92412 22001nbsp andnbsp 244493 - 58192 71777.prove |

## Consider a rectangular box of volume cubic centimtersConsider a rectangular box of volume 100 cubic centimters. Suppose that the base is a rectangle with sides x centimeters and 2x centimeters. Let hx give the height of the box in centimeters and let Ax be the total area of the six sides of the box. |

## Estimate the distance the runner coveredA radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds. |

## Use the precise definition of a limit lim x --gt infinityuse the precise definition of a limit lim x --gt infinity of fxl to prove that lim x --gt infinity of xcosxx |

## How many jackets should the store owner orderThe store owner can order jackets in lot sizes of 10 units. How many jackets should the store owner order if she wants to maximize the expected profit? |

## Establish the independence of n eventsEstablish the independence of n events - We have two coins the first is fair and the second two-headed. we pick one of the coins at random. we loss toss it twice and heads shows both times. Find the probability that the coin picked is fair. |

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