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Citrus2011 [14]
3 years ago
13

4. The area of a regular hexagon is 50 in. Find the length of a side. Round your answer to the nearest tenth.

Mathematics
1 answer:
Vikki [24]3 years ago
4 0

Answer: 4.4

Step-by-step explanation:

The formula for calculating the area of regular hexagon is given as :

Area = \frac{3\sqrt{3}}{2}a^{2}

Where a is the length of a side.

Substituting the value given , we have :

50 =  \frac{3\sqrt{3}}{2}a^{2}

50 x 2 = 3\sqrt{3} a^{2}

100 = 3\sqrt{3} a^{2}

Divide through by 3\sqrt{3}

a^{2} = \frac{100}{3\sqrt{3}}

a^{2} = 19.24500897

Take the square root of both sides :

a = \sqrt{19.24500897}

a = 4.3869

To the nearest tenth

a = 4.4

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Felipe, Pedro y Miguel son fanáticos del cine. Felipe asiste cada 3 días; Pedro cada 6 días y Miguel cada 5 días. Los tres van j
lilavasa [31]

Answer:

Opción C, 30 días.

Step-by-step explanation:

Sabemos que:

Felipe asiste al cine cada 3 días

Miguel asiste cada 5 días.

Pedro asiste cada 6 días.

Los tres van juntos un día,  ¿dentro de cuántos días irán otra vez juntos?

Los 3 volverán a ir juntos luego de N días, tal que N es el menor múltiplo común de 3, 5 y 6.

Como 6 es múltiplo de 3, podemos ignorar al 3, y solo considerar al menor múltiplo en común de 5 y 6.

Además, como podemos reescribir estos números como un producto de números primos, así obtenemos:

6 = 2*3

5 = 5*1

Estos números no comparten factores entre ellos, por lo que el menor múltiplo entre 5 y 6 es simplemente 5*6 = 30

Entonces podemos concluir que N = 30

Felipe, Pedro y Miguel irán juntos al cine nuevamente dentro de 30 días.

La opción correcta es C.

5 0
3 years ago
Use the distance formula to slove how far the points are on the a coordinate plane. Points are (7,5)(3,2)
maksim [4K]

Answer:

distance is 5 units

Step-by-step explanation:

plug in values

4 0
3 years ago
Please help me with this question
ddd [48]

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

Total Mini - Easter eggs = 1345

Number of students = 26

So, let's find how many eggs will each student get through division ~

\qquad \tt  \dashrightarrow \: \dfrac{1345}{26}  = 51 +remainder= 19

So, each student will get 51 mini - Easter egg each.

And there would be 19 remaining eggs in there ~

4 0
2 years ago
Han and Tyler are following a polenta recipe that uses 5 cups of water for every 2 cups of cornmeal.
Aleonysh [2.5K]

Answer:

No

Step-by-step explanation:

1. 5 cups of cornmeal=2 cups of water. Using 115 cups of cormeal would mean you need 287.5  cups of water, not 3.

3 is too little

2: If you use 5 cups of water for every 3 cups of cornmeal, for 3 cups of cornmeal you'd need like 6.5 cups of water, not that high of a number.

5 0
3 years ago
Read 2 more answers
Yasmine has 4 containers of 4 different colors of flowers to plant. She had 1/3 of each color left over when she was done planti
olga2289 [7]

Answer:

2\frac{2}{3}

Step-by-step explanation:

Given the information

  • 4 containers of 4 different colors
  • 1/3 of each color left over
  • She had planted more than 2 1/2 of the original 4 containers

=> Total color were left = 1/3 x 4 = 4/3 of the original containers

=> Total color  were planted = (1 - 1/3) x 4 = 2/3 x 4 = 8/3 of the original containers

However,  8/3 = 2\frac{2}{3}  > 2\frac{1}{2}  

So she is true, hence, the fractions to determine the total amount of containers of flowers she planted is:  2\frac{2}{3}

Hope it will find you well

7 0
3 years ago
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