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Katarina [22]
3 years ago
5

In an earlier lesson, you saw the equation `V+F-2=E`, which relates the number of vertices, faces, and edges in a Platonic solid

. Write an equation that makes it easier to find the number of vertices in an icosahedron, which has 30 edges.
Mathematics
1 answer:
Temka [501]3 years ago
6 0

Answer: v= 32-f

Step-by-step explanation: hope this helps! Have a good day!

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120 - 40 divided by 4 x 6 write 2 steps and then answer and i will give u brainliest
astra-53 [7]

Answer:

your answer is 10/3 (fraction)

Step-by-step explanation:

120-40=80

4 x 6=24

80/24=

  1. first divide both sides by four and get 20/6
  2. then divide by 2 to get 10/3 (fraction form)
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quadrant 1

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both of them are positive

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Find the average value of f over region
SVETLANKA909090 [29]
D is a right triangle with base length 1 and height 8, so the area of D is \dfrac12(1)(8)=4.

The average value of f(x,y) over D is given by the ratio

\dfrac{\displaystyle\iint_Df(x,y)\,\mathrm dA}{\displaystyle\iint_D\mathrm dA}

The denominator is just the area of D, which we already know. The average value is then simplified to

\displaystyle\frac74\iint_Dxy\,\mathrm dA

In the x,y-plane, we can describe the region D as all points (x,y) that lie between the lines y=0 and y=8x (the lines which coincide with the triangle's base and hypotenuse, respectively), taking 0\le x\le1. So, the integral is given by, and evaluates to,

\displaystyle\frac74\int_{x=0}^{x=1}\int_{y=0}^{y=8x}xy\,\mathrm dy\,\mathrm dx=\frac78\int_{x=0}^{x=1}xy^2\bigg|_{y=0}^{y=8x}\,\mathrm dx
=\displaystyle56\int_{x=0}^{x=1}x^3\,\mathrm dx
=14x^4\bigg|_{x=0}^{x=1}
=14
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Answer:

the interest is 195dollars

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