g (1 point) Find the angle between the diagonal of a cube of side length 8 and the diagonal of one of its faces, so that the two diagonals have a common vertex. The angle should be measured in radians. (Hint: we may assume that the cube is in the first octant, the origin is one of its vertices, and both diagonals start at the origin.)

Angle between the diagonal of a cube of side length 8 and the diagonal of one of its faces is equal to radian

Step-by-step explanation:

Please see the attached image for better understanding

Length of OB is equal to

Now the length of OE is equal to

Now Angle BOE is equal to

radians

Angle between the diagonal of a cube of side length 8 and the diagonal of one of its faces is equal to radian

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation:

the above table 1 will calculate the population size (n) after a certain length of time (t). all you need to do is plug in the initial population number (no), the growth rate (r) and the length of time (t). the constant (e) is already entered into the equation. it stands for the base of the natural logarithms (approximately 2.71828). growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. for humans, population growth rate is based on one year. if a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent.

step-by-step explanation: