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3 years ago

Which of the following is a type of face found on a Platonic solid

Mathematics

2 answers:

tekilochka [14]3 years ago

5 0

<h2>Answer:</h2>

The type of face that is found on a Platonic solid is:

C) Regular pentagon.

<h2>Step-by-step explanation:</h2>

We know that there are 5 types of platonic solid namely--

1) Tetrahedron--

It is composed of 4 faces.

The faces of a tetrahedron are triangular faces.

2) Cube--

It is a regular polyhedron with six faces.

The faces of this polyhedron is in the shape of square.

3) Octahedron--

Octahedron is a polyhedron with eight faces such that each face is an equilateral triangle.

4) Dodecahedron--

It is a regular polyhedron comprising opf 12 faces such that each face is in shape of regular pentagon.

5) Icosahedron--

It is a regular polyhedron with 20 regular equilateral triangular faces.

tigry1 [53]3 years ago

4 0

This may be correct but since i think i understand the answer is c

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Find the general term of {a_n}

Assoli18 [71]

From the given recurrence, it follows that

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and so on down to the first term,

$a_{n+1} = 2^na_1 + \displaystyle \sum_{k=0}^{n-1}2^k$

(Notice how the exponent on the 2 and the subscript of a in the first term add up to n + 1.)

Denote the remaining sum by S ; then

$S = 1 + 2 + 2^2 + \cdots + 2^{n-1}$

Multiply both sides by 2 :

$2S = 2 + 2^2 + 2^3 + \cdots + 2^n$

Subtract 2S from S to get

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So, we end up with

$a_{n+1} = 4\cdot2^n + S \\\\ a_{n+1} = 2^2\cdot2^n + 2^n-1 \\\\ a_{n+1} = 2^{n+2} + 2^n - 1 \\\\\implies \boxed{a_n = 2^{n+1} + 2^{n-1} - 1}$

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3 years ago

Use the image below to answer the following parts.

12345 [234]

Answer:

Step-by-step explanation:

Part A

Since, the given angles are formed at a point are on a straight line, sum of these angles will be 180°.

Part B

(3x - 5)° + (4x + 2)° + (2x + 3)° = 180°

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x = 20

Part C

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= (3×20 - 5)°

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m∠DBK = (4x + 2)°

= (4×20 + 2)°

= 82°

m∠KBC = (2x + 3)°

= (2×20 + 3)°

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mel-nik [20]

Thank you for posting your question here at brainly. Feel free to ask more questions.

The best and most correct answer among the choices provided by the question is FALSE.

Hope my answer would be a great help for you.

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