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

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.