Asolid oblique pyramid has a regular pentagonal base. the base has an edge length of 2.16 ft and an area of 8 ft2. angle acb measures 30°.

what is the volume of the pyramid, to the nearest cubic foot?

5 ft3
9 ft3
14 ft3
19 ft3

The correct option is 4.

Step-by-step explanation:

Given: The pentagonal base with edge length of 2.16 ft and area of 8 ft². Angle ACB measures 30°

In triangle ACB,

Volume of an oblique pyramid is

Where, B is area of base and h is height of pyramid.

The volume of the pyramid to the nearest cubic foot is 19 ft³ and option 4 is correct.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions