What is the slant height of a square pyramid that has a surface area of 189 square feet and a side length of 7 feet? a. 14 ft b. 12 ft c. 10 ft d. 8 ft

 The correct option is (C). 10 feet.

Step-by-step explanation:  We are given to find the slant height of a square pyramid that has a surface area of 189 square feet and a side length of 7 feet.

We know that the surface area of a square pyramid with base edge 'a' units and height 'h' units is given by

A square pyramid is shown in the attached figure.

In the given square pyramid, we have

length of the base edge, a = 7 feet,

Surface area, S.A. = 189 sq. ft.

If 'h' is the height of the pyramid, then we have

.

So, if 'l' is the slant height of the pyramid, then

Thus, the slant height of the square pyramid is 10 feet.

Option (C) is correct.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2