Answers edited by Rui D.

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• How do you calculate the overlapping area between intersecting circles?
  
• What is the surface area of a 11 cm high pyramid whose base is an equilateral triangle with a 62 cm perimeter? Show work.
  
• Circle A has a center at #(5 ,4 )# and a radius of #3 #. Circle B has a center at #(6 ,-8 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them?
  
• How do you factor #f(x)=x^3+3x^2-12x-18#?
  
• Question #509cd
  
• How to construct triangle LMN , such that LN = 8 cm and ∠ LMN = 80 degrees and LM- MN= 3 cm?
  
• Two corners of an isosceles triangle are at #(9 ,4 )# and #(3 ,2 )#. If the triangle's area is #48 #, what are the lengths of the triangle's sides?
  
• ABCD is a trapezoid with line BC perpendicular to line AB and line BC perpendicular to line CD. AB=13 BC=12 CD=8.A line segment is drawn from A to E, which is the midpoint of line CD. What is the area of triangle AED?
  
• If an equilateral triangle is inscribed in a circle and the triangle's area is #4sqrt3#, what is the area of the circle?
  
• Triangle A has an area of #84 # and two sides of lengths #18 # and #15 #. Triangle B is similar to triangle A and has a side of length #5 #. What are the maximum and minimum possible areas of triangle B?
  
• In a quadrilateral ABCD ,which is not a trapezium.It is known that <DAB=<ABC=60 DEGREE.moreover , <CAB=<CBD.Then A) AB=BC+CD B) AB=AD+CD C) AB=BC+AD D) AB=AC+AD ? Choose correct option.
  
• What is a quadrilateral that has exactly 2 congruent consecutive sides? Would it be either a parallelogram and/or a trapezoid?
  
• A trench is #40 1/2# ft. long, #8# ft. wide, and #15 3/4# ft. deep. How many cubic feet is the trench?
  
• What are the equations of the planes that are parallel to the plane #x+2y-2z=1# and two units away from it?
  
• What was the result of the Battle of El Alamein?
  
• What is the area of a trapezoid whose diagonals are each 30 and whose height is 18?
  
• The image of a microchip in a projection microscope measures 8 inches by 10 inches. The width of the actual chip is 4 millimeters. How long is the chip?
  
• Question #9aee7
  
• What is the area of the largest isosceles triangle that can be inscribed in a circle of radius 4?
  
• Each interior angle of a regular polygon lies between 136 to 142. How do we calculate the sides of the polygon?
  
• An isosceles trapezoid MNPQ with QP=12 and measure of angle M = 120 degrees has bisectors of angles MQP and NPQ that meet at point T on line MN. What is the perimeter of MNPQ?
  
• Is it possible for two acute angles to be supplementary?
  
• A triangle has corners at #(2 , 2 )#, ( 5, 6 )#, and #( 1, 4 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?
  
• Two corners of an isosceles triangle are at #(8 ,3 )# and #(5 ,4 )#. If the triangle's area is #15 #, what are the lengths of the triangle's sides?
  
• Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 158 feet from camera 2, which was 121 feet from camera 3. Cameras 1 and 3 were 140 feet apart. What camera had to cover the greatest angle?
  
• How do you solve #(x-2)/(x^2-7x+10)=1/(5x-10)-1/(x-5)#?
  
• What is the area of the parallelogram with vertices A(1,5,0), B(6,10,−3), C(−4,5,−2), and D(1,10,−5)?
  
• Question #15b5e
  
• How do I calculate the distance between the two parallel planes #x - 2y + 2z = 7# and #2y - x - 2z = 2#?
  
• What are all the zeroes of #f(x) = 2x^3 + 3x^2 + 4x - 10#?
  
• A flagpole 8.2 meters tall casts a horizontal shadow 4.0 meters long. What time is it if the sun was directly overhead at 12:10 pm and will set at 6:10 pm?
  
• If #A = <8 ,1 ,-5 >#, #B = <6 ,5 ,-8 ># and #C=A-B#, what is the angle between A and C?
  
• Two corners of an isosceles triangle are at #(8 ,1 )# and #(1 ,7 )#. If the triangle's area is #15 #, what are the lengths of the triangle's sides?
  
• How did Otto von Bismarck, the chancellor of Prussia, lead the drive for German unity?
  
• A triangle has corners at #(2 , 1 )#, ( 5 , 6)#, and #( 8 , 5 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?
  
• The lengths of the tangents from any point on the circle #15x^2 + 15y^2 -48x +64 y =0# to the two circles #5x^2 + 5y^2 -24x +32y +75 =0# and #5x^2 + 5y^2 -48x +64y +300 =0# are in the ratio?
  
• Why did the Napoleonic Wars represent a watershed in the history of warfare?
  
• Question #3c646
  
• In a quadrilateral ABCD, P and R are the midpoints of AB and CD respectively. Also, Q and S are points on the sides BC and DA respectively such that BQ=2QC and DS=2SA. Prove that the area of the quadrilateral PQRS equals to half of the area of ABCD?
  
• Question #74eaa
  
• A triangle has sides A, B, and C. The angle between sides A and B is #(pi)/2# and the angle between sides B and C is #pi/12#. If side B has a length of 12, what is the area of the triangle?
  
• A triangle has sides with lengths of 5, 9, and 8. What is the radius of the triangles inscribed circle?
  
• Question #5feb3
  
• Question #ba50a
  
• What is the circumference and area in feet of circular pool that has a diameter of 20 yards?
  
• A triangle has corners at #(1 , 5 )#, #(9 ,4 )#, and #(1 ,8 )#. What is the radius of the triangle's inscribed circle?
  
• How would you determine the equation of the circle which passes through the points D(-5,-5), E(-5,15), F(15,15)?
  
• Question #bf8db
  
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