Answer:
Step-by-step explanation:
To solve this problem we need to be familiar with the formula for the surface area of a cone:
We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:
To calculate the height of the cone, we must use the Pythagorean Theorem:
We can treat the side length as the hypotenuse 
, the radius as the base 
, and solve for height 
. Set the expression up like this:
Now we can plug into our original formula:
Answer:
83 in.^2
Step-by-step explanation:
The entire polygon consists of a rectangle with length 8 in. and width 5 in., a triangle with base 8 in. and height 7 in., and another triangle with base 5 in. and height 6 in.
The total are is the sum of the area of the rectangle and the two triangles.
area = area of rectangle + area of first triangle + area of second triangle
area = LW + bh/2 (for the first triangle) + bh/2 (for the second triangle)
area = 8 in. * 5 in. + 8 in. * 7 in. / 2 + 5 in. * 6 in. / 2
area = 40 in.^2 + 28 in.^2 + 15 in.^2
area = 83 in.^2
Answer:
390 Millions of bacteria particles by the end of one week.
Step-by-step explanation:
The Bacteria Growth Rate Formula is: ---> N (T) = N (0) * (1 + R) ^tT
N (0) = # of bacteria present during the beginning of the experiment
Variable R= Growth rate
Variable T= Time taken / elapsed.
Substitute the #'s for N (T)
N (0) and T from the given description
We then get the value of variable R.
220 = 20 * (1+R) ^ (24 hrs)
When solving for R, we get R = 0.105074
1 week= (7 x 24 = 168) hrs
We need to plug in the solutions
Therefore
N (168 hours) = 20 * (1+0.105074) ^168
Which is around 390 millions.
So now we know that there will be 390 millions of bacteria particles at the end of 1 week
Answer:
20
Step-by-step explanation:
