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Thepotemich [5.8K]
2 years ago
9

Simplify the slope of AC.

Mathematics
1 answer:
charle [14.2K]2 years ago
7 0

Answer:

\boxed{\bf \cfrac{\boxed{c}}{\boxed{a }+ b}}

Step-by-step explanation:

Given:

\tt (x_1,y_1) : A (0,0)

\tt (x_2,y_2) : C (a+b, c)

\boxed{\tt Slope= \cfrac{y_2,y_1}{x_2,x_1}}

\tt \cfrac{c - 0}{a + b - 0}

Add zero (Anything plus zero gives itself).

\tt \cfrac{c}{a + b + 0}

\tt \cfrac{c}{a + b}

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Determine the astm grain size number if 33 grains per square inch are measured at a magnification of 270×
strojnjashka [21]
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.
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3 years ago
A football field is 160 feet wide and 360 feet in length. What is the distance around the field?
charle [14.2K]

Answer: 160 + 160 = 320

360 + 360 = 720

720 + 320 = 1040

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4 years ago
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