Gold has a density of 19.32 g/cm3. if a square pyramid has a base edge length of 5 cm, height of 6 cm, and a mass of 942 g, is the pyramid in fact solid gold? if it is not, what reasons could explain why it is not? recall that density can be calculated with the formula density=mass /volume

The answer to your question is: It is not made of gold.

Step-by-step explanation:

Data

density = 19.32 g/cm³

side = 5 cm

height = 6 cm

mass = 942 g

Formula

                          V =

L² = 5 x 5 = 25 cm²

                          V =

                          V = 50 cm³

density = 942 g / 50 cm³

            = 18.84 g/cm³  

It is not made of gold because the density calculated is lower than the density reported in books.

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.