Answer:
500 people?Not too sure but that is my best guess
Step-by-step explanation:
Answer:
2 sqrt(19)
Step-by-step explanation:
We know that the angle between the two hands
360 /12 *2 = 60 degrees
We divide by 12 because there are 12 number and multiply by 2 because there are 2 number between 10 and 12
This is a triangle where we know 2 sides and the angle between them.
We can use the law of cosines to determine the third side
c^2 = a^2 + b^2 -2abcosC
Where C is the angle between sides a and b
a =4 and b = 10 C = 60 and we are looking for side c
c^2 = 4^2 + 10^2 -2*4*10 cos60
c^2 =16+100 - 80cos 60
c^2 = 76
Take the square root of each side
sqrt(c^2) = sqrt(76)
c = sqrt(76)
c =sqrt(4) sqrt(19)
c =2 sqrt(19)
For this case we have the following function:
n (t) = 2400 * (5) ^ t
For n (t) = 60000 we have:
60000 = 2400 * (5) ^ t
We clear the value of t.
For this we use the logarithm:
(5) ^ t = 60000/2400
log5 ((5) ^ t) = log5 (60000/2400)
t = log5 (60000/2400)
t = 2 days
Answer:
the number of bacteria in the culture will be 60 comma 000 after:
t = 2 days
Answer:
Answer: 216 cm2 (square centimetres , in your question you had to put cm3, cubic centimetres, it's IMPORTANT )
Step-by-step explanation:
A perfect cube by definition has 3 equal dimensions, as an immediate rule: volume and total surface are equal, only the unit of measure changes (cubic for the volume, square for surface).
But let's calculate it anyway:
Volume = Edge * Edge * Edge = length * width * depth = (remember: all edges are equal in this case)
so Edge =
in your example Edge = = 6cm
So the surface of one side is 6*6 = 36
There are 6 sides in total, so the total surface is 6*36 = 216
Note: I call them "edges" but in case of a cube most say just "length"
Answer:
Step-by-step explanation:
the question is asking for the length of the side labeled x
use Pythagoras' theorem to find that side
where c = x because c represents the hypotenuse in the theorem and x is on the hypotenuse in this problem
c =
sooo plug in a = 14 and b = 10
c =
c =
c =
c= 17.20465..... ( that's the approx. length of side x in the problem )
since this is a right triangle we could use trigonometry to find the two angles use SOH CAH TOA to remember how those functions fit on the triangle.
Sin(Ф)=Opp/Hyp Cos(Ф)=Adj/Hyp Tan(Ф)=Opp/Adj
since we know the Hyp (hypotenuse) and the side adjacent will be the side with the 10 soooo...
Cos(Ф)=10/17.20465
Ф = arcCos(10/17.20465)
Ф = 54.4623° is the angle on the side with 10
the side with 14 then has an angle of 35.5376°
:)