Find the lateral surface area of the triangular prism.

Step-by-step explanation:

Lateral Surface Area

It's the sum of the five surface areas formed by the prism. There are two identical triangles (front and back surfaces) and three rectangles (bottom, lateral and upward).

Each triangle has a base of 4 in and a height of 3 in. The area of each triangle is

The total area of the triangles is twice that value, or

The area of the lateral rectangle is

The area of the bottom rectangle is

The area of the upward rectangle is

The total lateral area is

22 dimes and 9 nickels

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.