Denote by M the point of intersection of the medians.
Denote also the distance DM by x and the distance QM by y.
From the median properties of triangles we know that

Also,

Since the medians are perpendicular, we deduce that:

Then, since
Answer:
The population will reach 34,200 in February of 2146.
Step-by-step explanation:
Population in t years after 2012 is given by:

In what month and year will the population reach 34,200?
We have to find t for which P(t) = 34200. So



Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



In this question:

So 
Then



We only take the positive value.
134 years after 2012.
.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.
So the population will reach 34,200 in February of 2146.
<span>$36.36 because the area of the prism is 404sq. in. , 404x0.09 (for nine cents per sq. in.) = 36.36
</span>
Hope this helps!! :)
Each friend pays $2250/5 = $450 per month as a shared resident.
Hello there!
the answer is 8.33
Hope I helped!
Let me know if you need anything else!
~ Zoe