Answer:
The Answer is A. $107.25
Step-by-step explanation:
You didn't give us the picture but here's some info on bisectors
An angle bisector of a triangle is a segment, ray or line which divides an angle of the triangle into two congruent (equal in measure) parts. Since all triangles have three angles, all triangles have three angle bisectors.
The three angle bisectors of the angles of a triangle meet in a single point, called the incenter . Here, I is the incenter of ΔPQR . The incenter is equidistant from the sides of the triangle. That is, PI=QI=RI .
Hope this helps till you put a picture!
The starting weight of the radioactive isotope = 96 grams
Weight after one hour is half of the starting weight. So the weight of the radioactive isotope after 1 hour = 48 grams
After 2 hours the weight is half as compared to the weight after previous hour. So weight after 2 hours = 24 grams.
This means, after every hour the weight is being halved. The half life of radioactive isotope is one hour.
Since after every hour, the weight is being halved, the weight of the isotope can be modeled by an exponential equation.
So,
Initial Weight = W₁ = 96
Change factor = 1/2 = 0.5
The general equation of the sequence will be:
![\\ \\ W_{t}=96(0.5)^{t}](https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20W_%7Bt%7D%3D96%280.5%29%5E%7Bt%7D)
Here t represents the number of hours. Using various values of t we can find the weight of the radioactive isotope at that time.
We can plot the sequence using the above equation. The graph is attached below.
Answer:
![V=1,080t](https://tex.z-dn.net/?f=V%3D1%2C080t)
Step-by-step explanation:
Remember that
![1\ h=60\ min](https://tex.z-dn.net/?f=1%5C%20h%3D60%5C%20min)
so
![1\ min=(1/60)\ h](https://tex.z-dn.net/?f=1%5C%20min%3D%281%2F60%29%5C%20h)
we know that
The rate is ![18\frac{ft^3}{min}](https://tex.z-dn.net/?f=18%5Cfrac%7Bft%5E3%7D%7Bmin%7D)
Convert to ft³/h
![18\frac{ft^3}{min}=18\frac{1}{(1/60)}=18(60)=1,080\frac{ft^3}{h}](https://tex.z-dn.net/?f=18%5Cfrac%7Bft%5E3%7D%7Bmin%7D%3D18%5Cfrac%7B1%7D%7B%281%2F60%29%7D%3D18%2860%29%3D1%2C080%5Cfrac%7Bft%5E3%7D%7Bh%7D)
The equation that can be used to find the Volume V of the corn in the silo hours after loading begin represent a proportional relationship
![V=kt](https://tex.z-dn.net/?f=V%3Dkt)
where
V is the volume of the corn in the silo
t is the time in hours
k is the constant of proportionality or rate
we have
![k=1,080\frac{ft^3}{h}](https://tex.z-dn.net/?f=k%3D1%2C080%5Cfrac%7Bft%5E3%7D%7Bh%7D)
therefore
![V=1,080t](https://tex.z-dn.net/?f=V%3D1%2C080t)