Logan and his brother plan to make a spherical glass ornament to decorate their living room. Logan decides to completely fill the glass ornaments with glitter. The glass ornaments have a diameter of 2 inches each. What is the amount of glitter required to completely fill one glass ornament? Use 3.14 for pie

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

Two corresponding sides of two similar triangles are 3cm and 5cm. the area of the first triangle is 12cm^2. what is the area of the second triangle?

Solve each quadratic equation by factoring and using the zero product property. 10x + 6 = -2x^2 -2