Suppose an architect draws a segment on a scale drawing with the end points (0,0) and (3/4,9/10). the same segment on the actual structure has the end points (0,0) and (30,36). what proportion could model this situation?

Let the segment be represented by AB where A(0,0) = and B(3/4,9/10) = .

The length of the segment drawn by architect can be calculated using distance formula:

AB =

Similarly, Let the actual end points of segment be AC where A(0,0) = and C(30,36) = .

The length of the original segment can be calculated using distance formula:

AC =

.

Thus, the actual length is 40 times the length of the segment drawn by the architect.

Thus, the proportion of the model is 1:40

Answer with explanation:

Distance between two points (a,b) and (c,d) on two dimensional coordinate plane is given by

A=(0,0)

⇒P=(0,0) and Q= (30, 36)

⇒Actual Structure of segment =40 × Length of Segment on Scale

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2

8.75

how-to:

first, we need to find what we have to work with.

since i know that we have 7 (years) and 0.8 (inches), we can use these to solve and find the equation!

secondly, what you want to do, is see that we need to know how much growth out of the 0.8 inches he got in only 1 year, instead of 7 years.

let's try to divide.

7 ÷ 0.8 = 8.75