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IgorLugansk [536]
3 years ago
11

El horario y el minutero de un reloj miden respectivamente 0.7 y 1.2cm. Determinar la distancia entre los extremos de dichas man

ecillas a las 13:30 horas

Mathematics
1 answer:
Fed [463]3 years ago
8 0

Answer:

1.5887 cm

Step-by-step explanation:

If the time is 13:30, The hour pointer will be between the numbers 1 and 2.

Each number of the 12 number clock is separated by 30 degrees, so the hour pointer is at 45 degrees.

The minute pointer is at 30 minutes, so it is in number 6, being therefore at angle 180.

The angle formed by the pointers will be 180 - 45 = 135 degrees.

We can draw a triangle with both pointers and this angle (image attached)

So, we can calculate the distance between the tip of the pointers (let's call it "d") using law of cosines:

d^2 = 0.7^2 + 1.2^2 - 0.7*1.2*cos(135)

d^2 = 0.49 + 1.44 - (-0.5940) =  2.524

d = 1.5887 cm

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.109090909 miles per hour

Step-by-step explanation:

To find miles per hour, take the miles and divide by the hours

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.109090909 miles per hour

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What is the solution to the compound inequality 3x-8>-5 and 2x-7<5
-BARSIC- [3]

Answer:

<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>

Step-by-step explanation:

3x - 8  > -5              <em>add 8 to both sides</em>

3x > 3        <em>divide both sides by 3</em>

x > 1

2x - 7 < 5            <em>add 7 to both sides</em>

2x < 12          <em>divide both sides by 2</em>

x < 6

From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)

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3 years ago
The members of a drama club sold tickets to a school play.
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28*5 115 sub 115 from 800 then divide 685 by 5 then add 7 into that number 28 times

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Write the equation of the line in slope-intercept that has passes through the points (2,-5) and (8, 13). ​
const2013 [10]

Answer:

The equation of the straight line in Slope- intercept form

 y = 3 x - 11

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given points are   (2,-5) and (8, 13)

The Slope of the line

            m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{13-(-5)}{8-2} = \frac{18}{6} =3

Equation of the line having slope 'm' and given point

        y - y_{1} = m (x - x_{1} )

(x₁ , y₁)   =    ( 2, -5 )  

        y - (-5) = 3 (x - 2 )

       y + 5 = 3x - 6

The equation of the straight line in slope intercept form

    y = m x + c

       y = 3 x - 6-5

       y = 3 x - 11

<u><em>Final answer:</em></u>-

The equation of the straight line in Slope- intercept form

 y = 3 x - 11

     

8 0
3 years ago
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