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Let ABC be a right-angled triangle with ∠B = 90?. Let BD be thealtitude from B on to AC. Let P, Q and I be the incentres of trianglesABD, CBD and ABC respectively. Show that the circumcentre of of the triangle P IQ lies on the hypotenuse AC.
what is the ratio of the value of a sphere and a cone with the base diameter and altitude of the cone equal to the
The smaller of two number is 936. Find their product if their sum is 2360.
Explain whether each statement is true or false. Please give short explanation why and if false, please give an example. The maximum of a function that is continuous on a closed interval can occur at two different values in the interval.
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or "washer." (Do this on paper.)
A toy rocket is launched from a 3.5 m high platform in such a way that its height, h (in meters), after t seconds is given by the equation h=-4.9t + 23.8t +3.5. How long will it take for the rocket to hit the ground?
A survey of 400 non-fatal accidents showed that 152 involved the use of a cell phone. Find a point estimate for p, the population proportion of non-fatal accidents that involved the use of a cell phone.
The Action Sports Network surveyed 265 of its viewers to determine which sports they watched most often. The results of the survey showed:
what are the expected winnings far a ticket buyer? Express to at least three decimal place accuracy in dollar form (as opposed to cents).
The height of a projectile fired vertically into the air (neglecting air resistance) at an initial velocity of 112 feet per second is a function of the time and is given by the equation f(x) = 112x - 16x2, where x represents the time. Find the hig..
prove that the set of natural numbers will be a ring by using ring definition.zn is a ring for all n where n stands for
Let A be the bounded region enclosed by the graphs of f(x)=x and g(x)=x^3.
determine the minimum furnace output for a 2000 ft^2 modern house
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