Abuilding casts a shadow 25 m long. at the same time, the shadow cast by a 44-cm tall pole is 59 cm long. find the height of the building.  a.  17.1 m  b.  32.0 m  c.  33.5 m  d.  18.6 m

For this, we are going to be using proportions to solve. But firstly, we have to convert cm to m. For this, I'll be using dimensional analysis:

Now that we have everything in meters, we can put it into proportions. In this case, our proportion is

Firstly, cross-multiply:

Next, divide both sides by 0.59, and your answer will be x = 18.6 m, or D.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

x= 3^y

step-by-step explanation: