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Svet_ta [14]
3 years ago
10

What is the exact volume of the cylinder?

Mathematics
1 answer:
AURORKA [14]3 years ago
8 0

Answer:

Step-by-step explanation:

8 cm and the height is 15 cm.

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Which of the following is the solution to the equation - y = 24?
Naddik [55]

Answer:

The Answer to this equation Y = 32

Step-by-step explanation:

6 0
3 years ago
The number of Roberto’s baseball cards is ¾ the number of David’s cards If Roberto gives ½ of his cards to David, what will be t
inn [45]

Answer:

1/4, 0.25

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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.
7 0
3 years ago
If y varies jointly with x and z, and y = 200 when x = 8 and z = 10, what is x when y = 165 and z = 11?
vova2212 [387]

Answer:

The answer is 2.5

The next blank is 6

8 0
3 years ago
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The intensity, I, of a sound varies inversely with the square of the distance, r, from the source of the sound. Write an equatio
charle [14.2K]

Answer:The  equation relating I, r, and k is I =K/r²

Step-by-step explanation:

The intensity, I, of a sound varies inversely with the square of the distance, r, from the source of the sound can be written as

I ∝ 1/r²

Introducing the constant of proportionality, K we have that

I =K x 1/r²

Therefore , the  equation relating I, r, and k is I =K/r²

7 0
3 years ago
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