Given a structure shaped like a pyramid with a square base measuring 9 feet on a side and a height of 8 feet, what is the volume of the tent?

## Rate of change of area of isoceles triangleThe included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees. Show that the area of the triangle is given by A = 1/2s^2 sin Z |

## Determining frictional forceABCD is a cross-section of a uniform rectangular block of mass 20kg. AB is 0.75m and BC is 1m. The block rests with A on rough horizontal ground with AB at 20 degrees to the horizontal. |

## What is the probability of- a white chip on the first drawWhat is the probability of- a white chip on the first draw? An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip drawn. |

## Estimate the mse, mad, cumulative error and average errorEstimate the MSE, MAD, cumulative error and average error |

## Calculate the percentage of students who score less than 700Calculate the percentage of students who score less than 700 |

## Determine the exact value of cosineDetermine the exact value of cos (α - β)- terminal side in the second quadrant |

## Line integration and green theoremCompute the integral of 4y^3 dx -2x^2 dy around the square bounded by the lines y=+/- 1 and x=+/-1. Directly by performing the line integration. |

## Find the distance between the silo and tree fromFind the distance between the silo and tree from the given data - What is the distance between the silo and the tree, correct to the nearest meter? |

## Computing total work doneA tank in the shape of an inverted right circular cone has height 6 meters and radius 4 meters. It is filled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. |

## Find the probability of a randomly selected personU.S. Population The population of the United States by race in 2000 and the projected population by race for the year 2025 are given below (in thousands). |

## Find the vertical asymptote and x-interceptFind the vertical asymptote and x-intercept for a given function - State the placement of the vertical asymptote and x-intercept after the transformation. |

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