Omi67

The corner of a unit cube is chopped off such that the cut runs through the three vertices adjacent to the vertex of the chosen corner. What is the height of the remaining cube when the freshly-cut face is placed on a table?

Find the standard form of the equation of a circle with center ​(1​,2​) and touching the​ x-axis. Graph the equation.  

Square MATH has sides of length 4, and N is the midpoint of TH. A circle with radius 2 and center N intersects a circle with radius 4 and center M at points P and H. What is the distance from P to MH.

The diagonals AC and BD of the convex quadrilateral ABCD with area 28 intersect each other at point O. The lines which are parallel to the diagonal AC come through the midpoints of segments BO and DO . Find the area of the portion of the quadrilateral that is between those lines.

QD II AB or QP II CB ???

A cone frustum has height 2 and the radii of its bases are 1 and 2.5. What is the lateral area of the frustrum

Find length please of BC. Thank you

sum=9 product=-10

A pair of kids and a pair of adults decided to compete in a three-legged race. The kids got to start 21 meters ahead of the adults, since they had shorter legs. When they were told to start, the kids hobbled forward at a rate of 1 meter per second, and the adults hobbled after them at a rate of 4 meters per second. Soon they were side-by-side. How long did that take? How far did the adults go?

The height (in meters) of a shot cannonball follows a trajectory given by $h(t) = -4.9t^2 + 14t - 0.4$ at time $t$ (in seconds). As an improper fraction, for how long is the cannonball above a height of $6$ meters?