The replica of the empire state building with its antenna spire in las vegas is
485 feet while the real one is 1,454 feet. what is the ratio of height of the replica to the height of the real empire state building? express your answer as a fraction.

Step-by-step explanation:

For this exercuse you need to analize the information provided. You know that:

1) The height of the replica of the Empire State Building with its antenna spire in Las Vegas is 485 feet.

2) The height of the real Empire State building is 1,454 feet.

Finally, in order to find the ratio of height of the replica to the height of the real Empire State building, its necessary to divide the height of the replica of the Empire State Building by the height of the real Empire State building.

Therefore, trough this procedure you get that the ratio of height of the replica to the height of the real Empire State building is:

(This fraction cannot be reduced)

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)