Answer:
The answer is "150 unit"
Step-by-step explanation:
scale factor = 1:15
height = 10
dimension =?
let dimension = x
![\Rightarrow \frac{10}{x} = \frac{1}{15} \\\\\Rightarrow 150 = x\\\\\Rightarrow x= 150 \ units](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B10%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B15%7D%20%5C%5C%5C%5C%5CRightarrow%20%20150%20%3D%20x%5C%5C%5C%5C%5CRightarrow%20x%3D%20150%20%5C%20units)
Imagine the unit circle. The cot(theta) is a line from (0,1) to (-4,1). Imagine it is part of a triangle with the origin (draw it!).
Then the hypotenuse length is √(1+4²) = √17.
The sine rule says that sin(90)/√17 must equal sin(theta)/4, and sin(90)=1, so
Given:
The growth of a sample of bacteria can be modeled by the function
![b(t)=1001.06t](https://tex.z-dn.net/?f=b%28t%29%3D1001.06t)
where, b is the number of bacteria and t is time in hours.
To find:
The number of total bacteria after 3 hours.
Solution:
We have,
![b(t)=1001.06t](https://tex.z-dn.net/?f=b%28t%29%3D1001.06t)
where, b is the number of bacteria and t is time in hours.
Substituting t=3, we get the number of total bacteria after 3 hours.
![b(3)=1001.06(3)](https://tex.z-dn.net/?f=b%283%29%3D1001.06%283%29)
![b(3)=3003.18](https://tex.z-dn.net/?f=b%283%29%3D3003.18)
Number of bacteria cannot be decimal value. So, approximate the value to the nearest whole number.
![b(3)\approx 3003](https://tex.z-dn.net/?f=b%283%29%5Capprox%203003)
Therefore, the number of total bacteria after 3 hours is about 3003.