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3 years ago

Describe a pentagonal prism.

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

7 0

Step-by-step explanation:

A pentagonal prism is a prism having two pentagonal bases and five rectangular sides. It is a heptahedron.

The regular right pentagonal prism is uniform polyhedron . Its dual polyhedron is the pentagonal dipyramid.

The surface area and volume for the right regular pentagonal prism of unit edge length are

S = 5+1/2sqrt(5(5+2sqrt(5)))

(1)

V = 1/4sqrt(5(5+2sqrt(5))).

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VikaD [51]

Answer:

5.) •Response

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3 years ago

What is the sum of the geometric series

lbvjy [14]

If $S$ denotes the sum of the first $n$ terms of a geometric series with first term $a$ and common ratio $r$ , then

$S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}$
$rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n$
$\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n$
$\implies (1-r)S=a(1-r^n)$
$\implies S=a=\dfrac{1-r^n}{1-r}$

Using summation notation, you have

$S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}$

In this case, you have $a=2$ , $r=\dfrac12$ , and $n=16$ . So the value of the sum is

$\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67$

Rounded to the nearest whole number, the answer would be 3.

4 0

3 years ago

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mamaluj [8]

Answer:

it is 55%

Step-by-step explanation:

I think it is 55 %

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What is the relationship between 1's in 911,147,835

Lelu [443]

The relationship between 1’s in the value of 911, 147, 835 shows their numerical order in the number. In which to further elaborate we shall break down the number into its expanded form and word form: 1. 900, 000, 000 = nine hundred million 10, 000, 000 = ten million 1, 000, 000 = one million 100, 000 = one hundred thousand 40, 000 = forty thousand 7, 000 = seven thousand 800 = eight hundred 30 = thirty 5 = five 2. Nine hundred eleven million one hundred forty-seven thousand eight hundred and thirty five.

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3 years ago

1.73639 rounded to the nearest thousanth

Maurinko [17]

^ is in the thousadths place so look for the number before it, which is 3. 3 is less than 5 so 6 stays as is so it becomes 1.736

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3 years ago