8.9
The equation for the grain size is expressed as the equality:
Nm(M/100)^2 = 2^(n-1)
where
Nm = number of grains per square inch at magnification M.
M = Magnification
n = ASTM grain size number
Let's solve for n, then substitute the known values and calculate.
Nm(M/100)^2 = 2^(n-1)
log(Nm(M/100)^2) = log(2^(n-1))
log(Nm) + 2*log(M/100) = (n-1) * log(2)
(log(Nm) + 2*log(M/100))/log(2) = n-1
(log(Nm) + 2*log(M/100))/log(2) + 1 = n
(log(33) + 2*log(270/100))/log(2) + 1 = n
(1.51851394 + 2*0.431363764)/0.301029996 + 1 = n
(1.51851394 + 0.862727528)/0.301029996 + 1 = n
2.381241468/0.301029996 + 1 = n
7.910312934 + 1 = n
8.910312934 = n
So the ASTM grain size number is 8.9
If you want to calculate the number of grains per square inch, you'd use the
same formula with M equal to 1. So:
Nm(M/100)^2 = 2^(n-1)
Nm(1/100)^2 = 2^(8.9-1)
Nm(1/10000) = 2^7.9
Nm(1/10000) = 238.8564458
Nm = 2388564.458
Or about 2,400,000 grains per square inch.
Answer: length = 4.5 m, width = 3 m
Step-by-step explanation:
When a shape is enlarged using a scale factor, you simply multiply each of the sides by the scale factor.
length = 3 * 1.5 = 4.5 m
width = 2 * 1.5 = 3 m
Answer:
The arcs are drawn to find a point on the bisecting ray. If the arcs are the same width, it makes sure that they are equidistant from the points on the rays of the angle. This causes the point to be on the bisecting ray.
Step-by-step explanation:
Bisection of an angle implies dividing the angle into two equal parts. The ray that divides the angle is called a bisector.
The hunter should use the same radius or width to draw the two arcs, using points P and Q as the center interchangeably, so that they would intersect at an equidistant point to P and Q. The point of intersection lies on the bisecting ray of the angle.
Answer:
Ok, lemme say something.
4.5 shoes are for 9 inch feet.
Dont think a 6 foot person is gonna fit tbh.
Step-by-step explanation:
A shoe size is for relation to feet size. Your feet grow from your height too, along with weight. If you are 6 feet, your feet are gonna be more than at least 1 foot.
4.5 shoes are for 9 inch feet
1 foot = 12 inches.
12 > 9.
12-9=3.
Answer:
17500
Step-by-step explanation:
you just multiply it by 35 if it is pennies but you have to tell me if it is dimes or whatever
