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ryzh [129]
3 years ago
9

Find the volume of the triangular prism

Mathematics
1 answer:
omeli [17]3 years ago
6 0

Answer:

V = 22

Step-by-step explanation:

V= 1/2 b*h*l

V= 0.5 * 4 * 3 * 11

V= 22

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Lim x-1 x³-2x²+3x-2/(2x^4-3x+1)
UkoKoshka [18]

Since the limit becomes the undetermined form

\displaystyle \lim_{x\to 1} \dfrac{x^3-2x^2+3x-2}{2x^4-3x+1} \to \dfrac{0}{0}

it means that both polynomials have a root at x=1. So, we can fact both numerator and denominator:

x^3-2x^2+3x-2 = (x-1)(x^2-x+2)

2x^4-3x+1 = (x-1)(2x^3+2x^2+2x-1)

So, the fraction becomes

\dfrac{(x-1)(x^2-x+2)}{(x-1)(2x^3+2x^2+2x-1)} = \dfrac{x^2-x+2}{2x^3+2x^2+2x-1}

Now, as x approaches 1, you have no problems anymore:

\displaystyle \lim_{x\to 1} \dfrac{x^2-x+2}{2x^3+2x^2+2x-1} \to \dfrac{2}{5}

4 0
3 years ago
What is 65 miles in 2.7 gallons unit rate rounded to the nearest hundredth
STALIN [3.7K]
You can't convert miles into gallons those are two different units of measurement.
4 0
4 years ago
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Can anyone help me on this and pls explain this
7nadin3 [17]
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3 0
3 years ago
A bus on a regular schedule takes 3 1/4 hours to reach its destination. The express bus takes 2 1/2 hours to make the same trip.
RSB [31]
Time taken by a regular bus to reach its destination = 3 1/4 hours
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Time taken by the express bus to make the same trip = 2 1/2 hours
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Time that can be saved by taking the express bus = (13/4) - (5/2) hours
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So 3/4 hours can be saved by taking the express bus rather than the regular bus. The correct option among all the options given in the question is option "C". I hope the procedure is simple enough for you to understand.
7 0
4 years ago
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The area of the shaded sector is shown. Find the area of $\odot M$ . Round your answer to the nearest hundredth. A circle with c
Fiesta28 [93]
Mhmmmmmmmmmmm i agreeeeeee
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