Regents Practice TEST 3
Interactive Version - Long Response
 Geometry Level
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Directions:  These are the Part II, III, and IV long response questions.  Have paper ready to work out the problems, then check your answers by clicking the ANSWER button.  You may use your graphing calculator.

Part II:

 29.  The Great Pyramid of Khufu in Egypt is 751 feet long on each side of its square base, and is 450 feet high.
         Find the volume of this Great Pyramid of Khufu, which is a regular pyramid.
30.  Given circle O with tangent .  Find the value of x.
 31.  Given: 
         If the lengths of three of the sides are represented by the expressions shown in the diagram below, find the
         actual length of .

          

 32.  At a certain time of the day, the shadow of a boy 5 feet tall is 8 foot long.  The shadow of a tree at this same time
         is 28 feet long.  How tall is the tree to the nearest foot?
 
 33.   A cellular phone company provides services within a 50 mile radius of their headquarters.  If this service is
         represented graphically, with the headquarters located at the coordinates (0,0), write the equation that represents
         the outer boundary of the service area.
 
 34.  Using a compass and straightedge, construct the altitude of triangle ABC from point A.

 

 

 

Part III:

35.  In circle O, .
       Segments are straight.
       Find m<DFE.
 

 36.   Two signposts are positioned at (0,8) and (12,4).  A straight line
          path is located such that any point on the path is the same
         distance from the two signposts.  Write the equation of the path.

 37.  A medicine capsule is a cylinder with half spheres on each end.  If the length of the cylinder is
        12 mm and the radius is 2 mm.  If the medicine used to fill the capsule costs $0.04 per cubic mm,
        what is the cost, to the nearest penny, of the medicine needed to fill thirty capsules?

Part IV:

38.
                        
 

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