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Nady [450]
3 years ago
9

An arc is subtended by a central angle measuring pi/2 radians. What fraction of the circumference is this arc?

Mathematics
1 answer:
Stells [14]3 years ago
6 0

Answer:

The angle is 1/4 the circumference is the arc

Step-by-step explanation:

To solve this, we are to set up a fractional relation between the central angle subtended by the arc and the total angle subtended by the circle.

At this point, we can note that the circumference of a circle actually subtends an angle of 2π radians at the center.

To express the angle subtended by the central angle [angle at the centre of the arc] as a fraction of the total circle, we do this:

The central angle of arc / total angle at the centre of the circle

= π/2 ÷2π

=\pi/2 \times \frac{1}{2\pi}= 1/4

Therefore the angle is 1/4 the circumference is the arc

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Answer:

x=2, y=3, z=4+t

Step-by-step explanation:

For this case we need a line parallel to the plane x z and yz. And by definition of parallel we see that the intersection between the xz and yz plane is the z axis. And we can take the following unitary vector to construct the parametric equations:

u= (u_x, u_y, u_z)= (0,0,1)

Or any factor of u but for simplicity let's take the unitary vector.

Then the parametric equations are given by:

x= P_x + u_x t

y= P_y + u_y t

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Where the point given P=(2,3,4)= (P_x , P_y, P_z)

And then since we have everything we can replace like this:

x= P_x + u_x t 2+ 0*t = 2

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z= P_z + u_z t = 4+ 1t = 4+t

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6 0
3 years ago
What is 3.96 × 0.4, please help me ​
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Answer:

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Step-by-step explanation:

1.584 = 3.96 × 0.4

8 0
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ivanzaharov [21]

Answer:

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Step-by-step explanation:

First, handle the exponent:

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Now multiply those two outcomes:

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Step-by-step explanation:

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Lemur [1.5K]

Answer:

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Step-by-step explanation:

So lets go over what we know.

The bus only goes for 6 hours each day.

So lets just think of a full day as 6 hours.

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