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vazorg [7]
3 years ago
15

Find the area of a regular hexagon with the given measurement. 6-inch radius

Mathematics
2 answers:
erastovalidia [21]3 years ago
6 0
 It would probably be 93.5. I hope this helps. have a blessed day.
Misha Larkins [42]3 years ago
4 0

Answer:

54\sqrt{3}

Step-by-step explanation:

In order to solve a regular polygon, you would use the equation: A=\frac{1}{2} (a)(p)

First start by replacing the variables in that equation with what we know. We know that the radius is 6 inches and that hexagons are made up of equilateral triangles. If a 6 inch radius is the side of a single equilateral triangle, then all the sides on that triangle = 6. If all the sides on that one triangle = 6, then all the sides on all the triangles = 6. Therefore, each side of the hexagon = 6.

Now we know that the perimeter = 36. Now our equation is A=\frac{1}{2} (a)(36).

The apothem is 3\sqrt{3} because the apothem, side, and radius create a right triangle. We know that the radius and side = 6, and if the apothem divides the side in half then the short leg of our triangle = 3. If the length of hypotenuse of our right triangle = 6 and the length of the short leg = 3, then we can use Pythagorean theorem to find the long leg aka. the apothem.

Our equation would then be 3^{2} +b^{2} =6^{2} and so b=3\sqrt{3}.

Now we know what our apothem is so our equation is now A=\frac{1}{2} (3\sqrt{3} )(36)

Therefore A=54\sqrt{3}

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Graph 2x-5=2x+8 please
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2x-5=2x+8
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y=2x-5
y=2x+8

4 0
3 years ago
How many months until they price is the same in 22 + 24.50x = 47 + 18.25x
solmaris [256]
I think 89 I don’t know why I am just guessing
8 0
3 years ago
Answer if you want to
prohojiy [21]

Answer:

B: 24(0.3)

Step-by-step explanation:

24 * 0.3 = 7.2

So Mandy spent $7.20 on arts and crafts.

24 - 7.2 = $16.80 remaining.

So this is the final answer is 24 * 0.3

5 0
3 years ago
Un deposito de agua tiene forma de prisma rectangular con los lados de la base de 25 y 20 metros. Calcula la altura que pueda co
serious [3.7K]

Answer:

La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.

Step-by-step explanation:

Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus 3 dimensiones: longitud*ancho*altura. El volumen se expresa en unidades cúbicas.

En este caso, se conoce la longitud y el ancho, cuyos valores son 25 y 20 metros. A su vez, se sabe que el depósito de agua debe contener 1000 m³. Entonces, siendo:

Volumen= longitud*ancho*altura

Y reemplazando los valores se obtiene:

1000 m³= 25 m* 20 m* altura

Resolviendo:

1000 m³= 500 m²* altura

altura=\frac{1000 m^{3} }{500 m^{2} }

altura= 2 m

<u><em>La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.</em></u>

7 0
2 years ago
Or a very large set of data the measured mean is found to be 288.6 with a standard deviation of 21.2. assuming the data to be no
SashulF [63]

The 68-95-99.7 rule tells us 68% of the probability is between -1 standard deviation and +1 standard deviation from the mean. So we expect 75% corresponds to slightly more than 1 standard deviation.

Usually the unit normal tables don't report the area between -σ and σ but instead a cumulative probability, the area between -∞ and σ. 75% corresponds to 37.5% in each half so a cumulative probability of 50%+37.5%=87.5%. We look that up in the normal table and get σ=1.15.

So we expect 75% of normally distributed data to fall within μ-1.15σ and μ+1.15σ

That's 288.6 - 1.15(21.2) to 288.6 + 1.15(21.2)

Answer: 264.22 to 312.98


8 0
3 years ago
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