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olchik [2.2K]
4 years ago
7

What is the smallest angle of rotational symmetry that maps a regular pentagon onto itself?

Mathematics
2 answers:
Agata [3.3K]4 years ago
3 0
Consider the regular pentagon ABCDE, with center (of mass)  O.

The central angle O is a complete angle, so its measure is 360°.

It is divided into 5 equal parts, so each of them has a measure of 360°/5=72°.



If we rotate the pentagon, with point O as the center of the rotation, we can map A to any of the other points.

The smallest angle of rotation is the angle which mas A to E, 72°.


Answer: 72°

Nimfa-mama [501]4 years ago
3 0

Answer:

72 Degrees

Step-by-step explanation:

k12 user. the guy below explains it. i dont need to

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Daniel wants to buy cookies for her friends. The area of a cookie is 113.04 in2. What is the circumference of the cookie?
prisoha [69]

Answer:

The circumference of the cookie is 37.68 inches.

Step-by-step explanation:

We have,

The area of a cookie is 113.04 square inches.

It is circular in shape. The area of circle is given by :

A=\pi r^2

r is radius of circle

r=\sqrt{\dfrac{A}{\pi}} \\\\r=\sqrt{\dfrac{113.04}{3.14}} \\\\r=6\ \text{inch}

The circumference of circular shaped object is given by :

C=2\pi r\\\\C=2\times 3.14\times 6\\\\C=37.68\ \text{inch}

So, the circumference of the cookie is 37.68 inches.

7 0
3 years ago
Patricia compró 10 estampillas de correos unas de $3.00 y otras de $1.00. Si pago con $18.00 en total. ¿Cuántas pago por cada un
Ganezh [65]

Answer:

Entonces Patricia necesitara 4 estampas de $3 dolares y 6 estampas de $1 dolar

Step-by-step explanation:

Cuatro estampas de tres dolares cada una es:

3 × 4 = 12

Ahora necesitamos encontrar  cuantas estampas mas Patricia puede comprar. Podemos hacer esto restando 12 a 18, que es el costo total de las estampas menos del valor encontrado

18 - 12 = 6

Ahora sabemos que Patricia necesita 6 dolares de estampas ($1 estampas) para acompletar las 10 estampas  dando un total de $18 dolares.

6 × 1 = 6 < sumar 6 de 12

12 + 6 = 18

Entonces Patricia necesitara 4 estampas de $3 dolares y 6 estampas de $1 dolar

6 0
4 years ago
Choose the correct simplification of the expression (a^4/b^2)^3
Oksanka [162]
The answer is B: <span> a^12/b^6

Proof:

Simplify the following:
(a^4/b^2)^3

Multiply each exponent in a^4/b^2 by 3:
(a^(3×4))/((b^2)^3)

3×4 = 12:
a^12/(b^2)^3

Multiply exponents. (b^2)^3 = b^(2×3):
a^12/b^(2×3)
2×3 = 6:
Answer:  a^12/b^6</span>
4 0
3 years ago
Help me pleaseee!!!!!!!!!!!!!!!!!!!!
Stolb23 [73]
You have to square the binomial.
(x^3 + 4y)  (x^3 + 4y)  
Using FOIL:
x^9 + 4(x^3)y + 4(x^3)y + 16y^2
x^9 + 8(x^3)y + 16y^2

You could also use the formula: (a+b)^2 = (a^2 + 2ab + b^2).
6 0
3 years ago
A honey bee has a mass of 100 mg. How many bees would you need for a mass of 3 kg?
Lady bird [3.3K]
You’ll need 30,000 honey bees
3 0
3 years ago
Read 2 more answers
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