Macy is trying to construct an isosceles triangle. she assigns and angle measurement of 40 degrees to the unique angle of the triangle. she wants the length fo the opposite side (the base) to be 6 centimeters. how many isosceles triangles can macy construct using this information? a. 3 cm b. 10 centimeters, c. 12 centimeters d. 14 centimeters, e. 18 centimeters

Which logarithmic equation is equivalent to the exponential equation below? e^a=55(you will receive 34 points)

Which expression is equivalent to 8(k + m) − 15(2k + 5m)?

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)