If X = 9 units, Y = 7 units, Z = 18 units, and h = 8 units, what is the surface area of the triangular prism shown above?

506 square units (answer choice B)

Step-by-step explanation:

The formula for the surface area of a triangular prism is:

SA = bh + 2ls + lb,

where b is the base, h is the height, l is the length, and s is the side of the triangle.

In this case, the base is 7 (Y), the height is 8 (h), the length is 18 (Z), and the side of the triangle is 9 (X).

So, by subsituition, we have:

SA = (7)(8) + 2(18)(9) + (18)(7)

SA = 56 + 324 + 126

SA = 506

The surface area is 506 square units.

Hope this helps! :)

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

step-by-step explanation: