Answer:
354.
Step-by-step explanation:
Exponential growth:
380 = 200e^(k*9) where k is a constant to be found.
e^9k = 380/200 = 19/10
ln e^9k = ln 1.9
9k = ln 1.9
k = ln 1.9 / 9
k = 0.071
After 8 hours:
Number of bacteria =
200*e^(8*0.071)
= 354.
Given : tan 235 = 2 tan 20 + tan 215
To Find : prove that
Solution:
tan 235 = 2 tan 20 + tan 215
Tan x = Tan (180 + x)
tan 235 = tan ( 180 + 55) = tan55
tan 215 = tan (180 + 35) = tan 35
=> tan 55 = 2tan 20 + tan 35
55 = 20 + 35
=> 20 = 55 - 35
taking Tan both sides
=> Tan 20 = Tan ( 55 - 35)
=> Tan 20 = (Tan55 - Tan35) /(1 + Tan55 . Tan35)
Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1
=> Tan 20 = (Tan 55 - Tan 35) /(1 + 1)
=> Tan 20 = (Tan 55 - Tan 35) /2
=> 2 Tan 20 = Tan 55 - Tan 35
=> 2 Tan 20 + Tan 35 = Tan 55
=> tan 55 = 2tan 20 + tan 35
=> tan 235 = 2tan 20 + tan 215
QED
Hence Proved
Answer:
Step-by-step explanation:
Given
per square yard
Required
Determine the cost of carpet and installation
First, calculate the area of the carpet
Convert to square yard
The cost is then calculated as:
Step-by-step explanation:
x is the independent variable
y is the dependent variable
