A body of mass 5 kg is held in equilibrium under gravity by two inextensible light ropes. One rope is horizontal and the other is inclined at an angle ? to the horizontal, as shown in the diagram below. The tension in the rope inclined at ? to the horizontal is 72N. Find the angle ?, giving your answer to the nearest degree.

The importance of social media and web analytics : Examine both the social media tools that will provide the highest return on investment (ROI), and two (2) key performance indicators (KPIs) that one could use to measure success. |

Lawrence weinbach-from unisys corporation : This is a case about a rising-star leader who flew for a while, but fell. Unisys Corporation has been in business for more than 130 years. Unisys contributed to the computer revolution with the first commercial large-scale system, its 29,000-pound.. |

Length of the goods train : A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train? |

What is the length of the other train : A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train? |

Equilibrium under gravity by two inextensible : A body of mass 5 kg is held in equilibrium under gravity by two inextensible light ropes. One rope is horizontal and the other is inclined at an angle ? to the horizontal, as shown in the diagram below. |

Comment on the extent and validity of /-dominance : Comment on the extent and validity of /-dominance for the two materials under consideration. |

What is the exact temperature of the liquid : The temperature outside is 40oF. A 120oF liquid is carried outside. One minute later, the temperature of the liquid has dropped to 100oF. What is the exact temperature of the liquid 2 minutes after being taken outside |

Research the concept of confidentiality : Research the concept of confidentiality. Describe the origins of responsibility - Assume you are a family preservation worker at your county human services agency working with a family attempting to stay together after a neglect report. |

Slope of a line perpendicular to the line : Find the slope of a line perpendicular to the line that passes through the points (-2,3) and (0,5). |

## Find the critical valueAmong 250 latex gloves, 7 percent leaked viruses. Using 95 percent confidence interval tests a claim that Viny gloves have a larger virus leak rate than latex gloves. Basically you need to answer the following questions. |

## Find the sum of the perimeters of all the trianglesThe mid points of its sides are joined to form anothertriangle whose mid points, in turn, are joined to form another triangle. Find the sum of the (i) perimeters of all the triangles (ii) areas of all the triangles. |

## The banker''s discount of a certain sum of money is rs. 36The banker's discount of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time is Rs. 30. What is the sum due |

## What is its vertical height off of the groundA kite flying high in the sky has an angle of elevation of 78°. If the kite is flying at the end of a 30 ft piece of string, what is its vertical height off of the ground? Round your answer to one decimal place. |

## Use slope-intercept form to create a graphuse slope-intercept form to create a graph that shows these earnings and estimate the company's earnings for the next year if the compnay continues to grow at the same rate? |

## Use the normal curve approximationUse the Normal curve approximation to the binomial distribution. Two percent of hair dryers produced in a certain plant are defective. |

## At what rate did she spend her moneyNata spent $28 on 2 DVDS. At this rate,how much would 5 DVDS cost? At what rate did she spend her money |

## Find the expected value of the gameFind the expected value (to you) of the game. If you play one game would you expect to win or lose the game? Explain. |

## Find all value on interval where function c is discontinuousTo send international first class mail (large envelopes) from the United States to Australia in 2010. Find all values on the interval (0, 64) where the function C is discontinuous. |

## Explain interpreting the integral in terms of sumsFind the integral ∫-62 f(x) dx by interpreting the integral in terms of sums and/or differences of areas of elementary figures. |

## Equation using quadratic formula and graphSolve the given equation using quadratic formula and graph. |

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