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Naily [24]
3 years ago
11

What is the volume of the prism below?

Mathematics
1 answer:
Tju [1.3M]3 years ago
7 0
B. 75

First you find the area of the triangle:

(base x height)/2
(3 x 5)/2
15/2
7.5

Then you multiply by the length of the prism (10):

7.5 x 10 = 75
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(2x^3-3x^2-19x+30)/(x-3)
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Answer:

2x^3 + 3x - 10

Step-by-step explanation:

4 0
3 years ago
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Someone please help me
bearhunter [10]
B. triangle and triangular prism
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Which shows the equation y – x = 3 written in slope-intercept form? Question 1 options: y – x – 3 = 0 y – 2 = x + 3 y = 3x y = x
Kazeer [188]
Y=x+3
you need to add the x to the opposite side to get y by itself
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Markus was given dollar bills from his grandfather each day for one week. On the first day he received $1, on the second day he
snow_tiger [21]

Answer:  $127.00

Step-by-step explanation:

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4 0
3 years ago
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
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