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LekaFEV [45]
3 years ago
5

The area of a circle is 78.5 cm² . Find the lenght of the radius of a circle . Use π = 3.14

Mathematics
2 answers:
Tpy6a [65]3 years ago
6 0

Answer:

5cm  = r

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

78.5 = 3.14 r^2

Divide each side by 3.14

78.5/ 3.14 = r^2

25 = r^2

Take the square root of each side

sqrt(25) = sqrt(r^2)

5 = r

love history [14]3 years ago
5 0

Answer:

The Radius= 5

Step-by-step explanation:

First since you divide the area by 3.14,  which should get you 25. Then your supposed to find the square root of 25 OR in other terms find 2 numbers when multiplied equal 25. That is 5.

To check your answer:

To check if this is correct simply find the area by using the radius.

The formula is radius multiplied by itself then multiplied by pi/3.14.

5x5=25, 25x3.14=78.5

There you go! 78.5 is the area!

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Goshia [24]

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3 years ago
A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere?
aev [14]

Answer:

The volume of the sphere is 1436 in³

The equation is    

V = ⁴⁄₃ * 3.14 * (7ft)³

Step-by-step explanation:

radius = half of diameter

d = 14ft

r = 14ft / 2 = 7ft

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 7ft

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (7ft)³

V = 4.187 * 343 in³

V = 1436 in³

The volume of the sphere is 1436 in³

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3 years ago
You toss 3 coins. What is the probability that you get exactly 3 heads, given that you get at least one tail? A tree diagram wil
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7 0
3 years ago
Si el máximo común divisor (MCD) de 6432 y 132 disminuye en 8, entonces será igual a: * 1 punto 6 4 -2 -6
swat32

Answer:

4

Step-by-step explanation:

Para empezar el maximo común divisor (MCD) de dos números se refiere al número en común que tienen ambos números, entre los cuales pueden ser divididos. En el caso del máximo se refiere al número más alto posible en que ambos números pueden ser divididos.

Para poder saber esto, es necesario anotar los factores en los cuales pueden ser divididos ambos números. Sin embargo, ya que son cantidades altas, puede tomar mucho tiempo determinar esto, por lo tanto nos vamos a la respuesta final.

Sabemos que el MCD de 132 y 6432 es disminuido en 8 unidades, es decir, se le resta 8 al MCD de esos números, y ese número debe coincidir con alguna de las opciones puesta ahí. Por lo tanto, lo que vamos a hacer para resolverlo rápidamente es sumarle 8 a cada una de las opciones y luego, verificaremos si el número obtenido es divisor de 132 y 6432.

<u>Obtención del MCD original:</u>

a) 6 + 8 = 14

b) 4 + 8 = 12

c) 2 + 8 = 6

d) 6 + 8 = 2

Con estos resultados, veamos cual de ellos es el MCD de 132 y 6432.

<u>Para el 6432:</u>

6432 / 2 = 3216

6432 / 6 = 1072

6432 / 12 = 536

6432 / 14 = 459,24

Podemos observar con estos resultados que el 14 queda descartado al tener un resultado decimal, por lo tanto debe ser 2, 6 o 12. Veamos la cuenta con el 132:

<u>Para el 132:</u>

132 / 2 = 66

132 / 6 = 22

132 / 12 = 11

Podemos observar ahora en este caso que el 132 es divisible entre 12, por lo tanto, es el MCD entre 132 y 6432, asi que se concluye que el resultado de disminuir por 8 el MCD de ambos números es:

<h2>12 - 8 = 4</h2>

Exitos

8 0
3 years ago
Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0
Stells [14]

Answer:

Option D.

Step-by-step explanation:

Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).

Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.

Therefore, x = \frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}

                    = -\frac{16}{8}

                    = -2

and y = \frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}

         = -\frac{40}{8}

         = -5

Therefore, the point (x, y) is (-2, -5).

Option D. will be the answer.

4 0
3 years ago
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