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Largest rectangle inscribed in a semicircle
Determine the area of the largest rectangle that can be inscribed in a semicircle of radius 8". Figure shows that the area can be written as A =(2x)y, if (x,y) is the point of the upper right corner of the rectangle. However, we choose to parameterize the area by a single value, the angle delta.Derive the formula for the area of the inscribed rectangle as a function of delta. We refer to this function as A(delta) below. A(delta)=?
Explain in your own words how the principle of square roots is used to solve quadratic equations. What form must a quadratic equation be in to use the principle of square roots for solving? Demonstrate the process with your own example.
a plane is heading due west with an airspeed of 306 mph. A wind with a bearing 340 is blowing at 12 mph find the speed and true course of the plane (in bearings)
How many possible uniforms are there using one helmet, one jersey, and one pair of pants?
What percentage of total assets was composed of current assets? Total Assets 2004 was $53,902
Perform an appropriate hypothesis test, showing the necessary calculations and/or explaining the process used to obtain the results.
Find the mean values for this variable.
how much money do they need to invest now to reach their goal?
The bank charges interest of 4.5% interest per year compounded monthly for the first 10 years, then 5.6% interest per year compounded monthly the remaining years. if the loan has to be paid back in 20 years, what must their monthly payments be for..
State null & alternative hypotheses
The concessions manager at our local college baseball game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and a 55% chance of sunshine, according to the weather ..
Find the amount of the winning bid if there were 7 bidders.
a ball falls from the height ofd 15 feet, each time it hits the ground it bounces up 60%of the height it fall. Assume it goes on forever, what is the total distance it travels.
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