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Neko [114]
4 years ago
10

Which 3D figure has half the number of vertices as a rectangular prism

Mathematics
1 answer:
natali 33 [55]4 years ago
6 0
Answer is Triangular Pyramid.

Rectangular Prisms have 8 vertices. The half of 8 is 4. And Triangular Pyramids have 4 vertices.
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2n%7D%20%2B%20%5Cfrac%7B1%7D%7Bn%5E2%7D%20%3D%20%20%5Cfrac%7Bn-2%7D%7B2n%5
Sergio [31]
Make denomenators the same
common denom is 2n²

multiply 3/2n by n/n
mulitply 1/n² by 2/2

we get
\frac{3n}{2n^2}+\frac{2}{2n^2}=\frac{n-2}{2n^2}
combine fractions
\frac{3n+2}{2n^2}=\frac{n-2}{2n^2}
multiply both sides by 2n²
2n+2=n-2
minus n both sides
n+2=-2
minus 2 both sides
n=-4
8 0
3 years ago
Divide.<br><br> (6x^2+36x+35)/(x+5)<br><br> Your answer should give the quotient and the remainder.
zheka24 [161]

Answer:

6x+6+\frac{5}{x+5}

Step-by-step explanation:

When we divide polynomials by polynomials with more than one term, we use long division or factorization to simplify.

This polynomial isn't easily divided after factorization so we will use long division. And we will use the remainder theorem to write any remainder.

\frac{(6x^2+36x+35)}{(x+5)}

We start long division by finding what multiplies with x+5 to get  6x^2+36x. This is 6x.

So 6x(x+5)=6x^2+30x. We have 6x left as a remainder from 36x.

We now divide x+5 into 6x+35. What multiplies with x+5 to get 6x+35? 6.

So we have 6x+6 as our answer so far and after we multiply 6(x+5)=6x+30 we will have a final remainder of 5.

We write our answer as 6x+6+\frac{5}{x+5}.


3 0
3 years ago
All possible square root of 100
VMariaS [17]

Answer:

10,000

Step-by-step explanation:

5 0
3 years ago
How do you solve x-6&gt;7=
alexandr402 [8]

By subtracting and

Dividing

4 0
3 years ago
To the nearest tenth, what is the distance between the point (10, -11) and (-1, -5)
Eva8 [605]

Answer:

The distance will be in centimeters

Step-by-step explanation:

You will do the multiply and subtract

5 0
3 years ago
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