Write and simplify an expression for the surface area of a square pyramid with a base edge length of s in. & triangular faces with a height of 7 in. What is the surface area if the base edge length is 2.5 in.?

Step-by-step explanation:

-Let s be the base lengths and h be the slant heights of the trinagles.

-Surface area of the pyramid is the sum of the areas of all of it's face and can be given as:

#We substitute the length and height dimensions in our simplified formula to calculate the Surface area as:

Hence, the pyramid's surface area is

45

step-by-step explanation:

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).