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VashaNatasha [74]
3 years ago
7

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π3 radians. What is the length of the arc?

Mathematics
2 answers:
madreJ [45]3 years ago
5 0
The correct question is 
<span>In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc? 

we know that
in a circle
</span>2π radians -----------------> lenght of (2*π*r)
2π/3 radians--------------> X
X=[(2π/3)*(2π*r)]/[2π]=(2π/3)*r

 the lenght  of the arc=(2π/3)*3=2π ft

the answer is 2π ft




Musya8 [376]3 years ago
4 0

Answer: 2 π I just took the test


Step-by-step explanation:


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en un colegio mixto hay x estudiantes distribuidos en c cursos. Si hay m niños por curso, ¿Cuantas niñas hay en el colegio?
Tomtit [17]

La ecuación que nos dice cuantas niñas hay en el colegio es:

A = x - c*m

¿Como encontrar una expresión para la cantidad de niñas?

Sabemos que hay un total de x estudiantes, definimos las variables:

  • A = cantidad total de niñas
  • B = cantidad total de niños.

Entonces tenemos A + B = x

Tambien sabemos que los estudiantes estan divididos en c cursos, de tal forma que hay m niños por curso.

Entonces c por m es igual a la cantidad total de niños:

c*m = B

Reemplazando esto en la ecuación de arriba podemos obtener:

A + c*m = x

A = x - c*m

Esta es la ecuación que nos da el numero total de niñas en el colegio.

Sí quieres aprender más sobre ecuaciones, puedes leer:

brainly.com/question/18168483

4 0
2 years ago
A water container holds 2 liters. How many
EastWind [94]

Number of containers for 2 litres of water = 1

So, number of containers for 1 litre of water = ½

So, number of containers for 30 litres of water

= ½ × 30

= 30/2

= 15

So, 15 of these containers would be needed to fill a 30-liter drum.

5 0
3 years ago
Read 2 more answers
The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x represent th larger
slava [35]
The sum of two numbers is zero.
x + y = 0
y = -x

<span>Twice the smaller number subtracted from 3 times the larger number is 10.
Let x represent the larger number and y represent the smaller number.

Twice the smaller number: 2y

3 times the larger number: 3x

</span>Twice the smaller number subtracted from 3 times the larger number is 10. 
3x - 2y = 10

-2y = -3x + 10

y = 3/2 x - 5

The equations are:

y = -x
y = 3/2 x - 5

The answer is the first choice.
5 0
3 years ago
Read 2 more answers
Write this in standard form<br>8d+3d^2<br><br><br>3a^2+a^3-4a+3​
Nata [24]

Answer:

a^(3)+3a^(2)-4a+3

Step-by-step explanation:

8 0
3 years ago
Evaluate. or Calculate the value
natta225 [31]

-- The difference of 2 logs is the log of the quotient of their arguments.

             log(11) - log(6) = log(11/6)

-- 1/3 of the log of something is the log of its cube root.
 
                     1/3 log(8) = log(∛8) = log(2)
and
                     1/3 log(729) = log(∛729) = log(9)

-- If a bunch of logs all have the same base, then their sum
is the log of the product of the arguments.  So ...

         log(11) - log(6) + 1/3 log(8) + 1/3 log(729)  =

         log(11/6 times 2 times 9)  =

         log( 11*18 / 6 )  =  <em>log(33)</em>

                                      log(33) = about <em>1.519</em> (rounded)

============================================

The other way:

log(11) =                  1.0414
-log(6) =                  -0.7782
log(8) = 0.9031
       1/3(0.9031) =     0.3010
log(729) = 2.8627
           1/3(2.8627) = 0.9542
                              -----------
Adum up:                 <em>1.5184</em>

(Note:  Everything is rounded.)


3 0
3 years ago
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