Cos (B) = (a^2 + c^2 -b^2) / (2 * a * c)
cos (B) = (11^2 +17^2 -12^2) / (2 * 11 * 17)
cos (B) = (121 + 289 -144) / (374)
cos (B) = 266 / 374
cos (B) =
<span>
<span>
<span>
0.7112299465
Angle B = </span></span></span>44.665 degrees
The question is basically asking what 3.5 x 2.3 is. So the answer would be 8.05. If you read carefully it even tells you “times” I. The question. Hope this helps!!
Answer:
π(8)²=64π
Step-by-step explanation:
Area = Pi times radius squared
We know the Diameter is 16 so the radius must be 8.
8 squared = 64, then we multiply pi when you get your answer.
Answer:
After 16 hours bacterial count will be 11600.
Step-by-step explanation:
Bacterial growth is always an exponential growth in a given culture.So the formula for the growth will be
Final counts of bacteria = Initial counts × 
Given from first part Initial counts = 5000
Final counts= 6500 and time of growth = 5 hours
Then we will get the value of rate of growth of bacteria from the bacteria
⇒ 6500 = 5000×
![Rate = \sqrt[5]{1.3} = 1.05](https://tex.z-dn.net/?f=Rate%20%3D%20%5Csqrt%5B5%5D%7B1.3%7D%20%3D%201.05)
Now again to get the value of bacteria after 16 hours
Final Count = 5000×
= 5000×2.32
= 11600
