the great pyramid of Cheops is a square based pyramid. the base has sides of 230m and the height is 147m. using the same material. what would the height be if you gave the base sides of 220m?

Step-by-step explanation:

A ratio problem

   230 sides is to 147 height as 220 sides is to an unknown height X

   230/147  =  220 / X    solve for x    ( since 220 < 230  X should be < 147)

   X = (220)(147) / 230

   X = height =  140.6 m      is less than 147

y=mx+b

step-by-step explanation:

m slope, b y-intercept

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)