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Oliga [24]
3 years ago
13

Un joyero tiene una forma de un prisma con base hexagonal la longitud de cada lado es de 3 cm,la apotema es de 2.6 cm y la altur

a es de 3 cm ¿Cual es su volumen?
Mathematics
1 answer:
valentinak56 [21]3 years ago
7 0

Responder:

23.4cm³

Explicación paso a paso:

El volumen de un prisma basado en hexagonal se expresa como

V = 3ash donde;

a es la longitud de la apotema

s es la longitud del lado de la base h es la altura del prisma.

Dado a = 2.6cm s = 3 cm h = 3 cm Volumen de la pirámide hexagonal = 2.6 × 3 × 3 = 23.4cm³

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I am gonna try my best to explain this to you :)

Firstly what you need to do is simplify the equation

(x*2)+x(2^2)+(y*2^3)+(y*2^4)=42\\2x+4x+8y+16y=42\\6x+24y=42

Now it looks a little less complicated the next step is to isolate y, in order to do that we solve the equation for y

6x+24y=42

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Now substitute y for \frac{7-x}{4}

6x+\frac{7-x}{4}=42\\4(6x)+7-x=42*4\\24x+7-x=168\\23x+7=168\\23x=168-7\\23x=161\\x=\frac{161}{23}\\x=7

Now substitute x for 7 and solve for y

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4 0
3 years ago
I NEED HELP PLEASE, THANKS! :)
makvit [3.9K]

Answer:  c) 88

<u>Step-by-step explanation:</u>

8, -16, 32, ...

We can see that each previous term is multiplied by -2

so the next two terms will be 32(-2) = -64 and -64(-2) = 128

So the first 5 terms of the sequence is:  8, -16, 32, -64, 128

Add the positive numbers and the negative numbers, then find their sum.

8 + 32 + 128 = 168

   -16 + (-64) = <u> -80  </u>

              Sum = 88    

     

4 0
4 years ago
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