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Butoxors [25]
2 years ago
5

Which method would determine the volume of the prism with dimensions 2x2x4 shown below?

Mathematics
1 answer:
malfutka [58]2 years ago
8 0
+16 will give the volume
2x2=4
4x4=16
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Find the surface area of the Triangular prism.<br><br> A = bh<br><br> A = 1/2(bh)
Mekhanik [1.2K]

Answer:

Surface area of triangular prism =1/2(bh)

=1/2(3*4)

=6

4 0
2 years ago
1/2x + 1/3y = 7
pashok25 [27]

let's multiply both sides in each equation by the LCD of all fractions in it, thus doing away with the denominator.

\begin{cases} \cfrac{1}{2}x+\cfrac{1}{3}y&=7\\\\ \cfrac{1}{4}x+\cfrac{2}{3}y&=6 \end{cases}\implies \begin{cases} \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{6}}{6\left( \cfrac{1}{2}x+\cfrac{1}{3}y \right)=6(7)}\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{1}{4}x+\cfrac{2}{3}y\right)=12(6)} \end{cases}\implies \begin{cases} 3x+2y=42\\ 3x+8y=72 \end{cases} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{using elimination}}{ \begin{array}{llll} 3x+2y=42&\times -1\implies &\begin{matrix} -3x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-2y=&-42\\ 3x+8y-72 &&~~\begin{matrix} 3x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+8y=&72\\ \cline{3-4}\\ &&~\hfill 6y=&30 \end{array}} \\\\\\ y=\cfrac{30}{6}\implies \blacktriangleright y=5 \blacktriangleleft \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{substituting \underline{y} on the 1st equation}~\hfill }{3x+2(5)=42\implies 3x+10=42}\implies 3x=32 \\\\\\ x=\cfrac{32}{3}\implies \blacktriangleright x=10\frac{2}{3} \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left(10\frac{2}{3}~~,~~5 \right)~\hfill

7 0
3 years ago
A game has an expected value to you of ​$100. it costs ​$500 to​ play, but if you win you receive​ $100,000 (including your ​$50
tekilochka [14]

Let X be a random variable denoting the amount of winnings in any given round of the game. There is some probability p of winning where P(X=99,500)=p, while P(X=-500)=1-p, assuming these are the only two possible outcomes. So we have

\mathbb E[X]=\displaystyle\sum_xxP(X=x)=99,500p-500(1-p)=100

100,000p-500=100\implies p=\dfrac3{500}=0.006

8 0
3 years ago
Write the sum as a mixed number so the fractional part is less than 1. 4 1/2 plus 2. 1/2
Hitman42 [59]
Well 41/2+1/2=
9/2+1/2
10/2
3 0
3 years ago
Read 2 more answers
A <br> is a number formed by multiplying ten by a number.
PIT_PIT [208]

I'm not really sure what the question is here, because you just gave a statement... but if you are trying to get an expression from words, here is what it would be:

A = 10N

I'm also not sure if "a number" is equal to the same as "a number" at the end, but I'm guessing not. If it is though, and you're trying to find the value of A, the answer would be:

A = 10

<em>*</em><em>Please provide the question you are asking here, not just statements, next time, so that people can help you.</em>

<em />

I hope this helped :)

3 0
2 years ago
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