Let us assume the initial number of bacteria in the culture = xAfter 1 hour,The number of bacteria = 185x/100 = 1.85xAfter 2 hours,The number of bacteria = (185 * 1.85x)/100 = 3.42xSo3.42x = 12500x = 12500/3.42 = 3654.97 = 3655From the above deduction, we can conclude that the initial number of bacteria in the culture is 3655.
Answer:
6 meters.
Step-by-step explanation:
The scale of a map is 1:10000
The real distance between two banks is 600 meters.
We are to find the distance between the two banks on the map.
This scale means that for every 1 meter on the map there are 10,000 meters on the real world.
So 600 meters on the real world would be represented by;
Cross-multiplying gives:
meters.
Answer:
15 ft
Step-by-step explanation:
Hi, the illustration for the problem is a right triangle with:
hypotenuse (C)= the length of the ladder = L
horizontal side(A) = distance from bottom of the ladder to the building = L - 6
vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3
So, we can use Pythagoras formula:
A2 +B2= C2
(L – 6 )² + (L-3)² = L²
L²-12L+36+L²-6L+9 =L²
L2 -18L+45 =0
APPLYING QUADRATIC FORMULA WE OBTAIN:
L =15 OR L=3
If L=3
Vertical side = L-3 = 0 (Length can´t be 0)
So L=15
Given that diameter of the base of the cylinder = 8 ft
Given that height of the cylinder = 6 ft
We have to find the surface area of the cylinder in terms of pi.
So we need to use formula of surface area of the cylinder which is
where h= height = 6
r= radius = diameter/2 = 8/2 = 4
Now plug these values into above formula
Hence final answer is
square ft
75.4
12 would be considered the radius
C = 2 pi R
so just insert that into the formula and the answer should be
75.39 but if you round up it would be 75.4
