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a rectangle is 3 times aas long as it is wide. if the lenght is increased by 6 and the width by 8 the area is increased by 109 find the original dimensions.
An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 32° and to the other is 54°. How far apart..
Find the equation of the regression line. Graph the line . Determine the slope and y-intercept of the regression line.
A cooling has an eccentricity of 5/3. If the cooling tower is 150 feet wide at its narrowest point, determine an equation of the hyperbola used to generate the hyperboloid.
You discover a planet orbiting a distant star that has about the same mass as the Sun. Your observations show that the planet orbits the star every 67 rm days . What is its orbital distance?
Find the length of arc AC if the diameter, AB, of circle O is 24 cm. Write answer in terms of pi.
In recent years the state of california issued license plates using a combination of one letter of hte alphabet followed by three digits, followed by another three letters of the alphabet. How many different license plats can be issued using this ..
A rectangular region is enclosed on all four sides with 45 feet of fencing. If the width is one half the length, find the area of the region.
Find the velocity and position vectors of a particle that has the given acceleration and the given inital velocity and positions.
Let C^3 be equipped with the standard inner product and Let W be the subspace of C^3 that is spanned by u=(1,0,1) and u2=(1/sqrt3, 1/sqrt3, -1/sqrt 3). Project the vector v=(1,i ,i ) onto W.
Child lies on the the ground and looks up at the top of a 17 foot tall tree nearby. Child is 14 feet away from the tree what is the angle of elevation to the top of the tree?
What do you feel are the advantages of using graphs to show the relationships between variables? Give examples that demonstrate your opinions.
a plane flies 400 miles with the wind and 320 miles against the wind in the same length of time. If the speed of the wind is 29 mph, what is the speed of the plane in still air?
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