The height of a square pyramid is one half the length of each side. The volume of the pyramid is 4,500 inches cubed. What is the height of the pyramid

45 in

Step-by-step explanation:

Base area of a square pyramid is given by

B=a*a=a²

Where a is the length of each side of the base

Volume of a square pyramind is given by

V=⅓Bh

Where h is the height

Given that height is 1.5a then B is a²

V=⅓*a²*1.5a=0.5a³

Given that the volume is 4500 in³

0.5a³=4500

a³=9000

a=3√9000=30

Since height is 1.5a then h=1.5*30=45 in

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )