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deff fn [24]
2 years ago
6

put the steps, for changing the formula for the arc length of a circle in degrees to the formula for the arc length of a circle

in radians in the correct order.​

Mathematics
1 answer:
Ede4ka [16]2 years ago
5 0

9514 1404 393

Answer:

  top down: 1, 5, 6, 4, 8, 2, 3, 7

Step-by-step explanation:

It appears the expected order may be ...

__

Write the formula for the arc length of a circle with central angle, θ, in degrees.

  \textit{Arc  Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r

Replace 360° with 2π radians.

  \dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}

Replace the angle ratio in degrees with the angle ratio in radians.

  \textit{Arc  Length}=\dfrac{\theta}{2\pi}\cdot 2\pi r

Simplify by cancelling

  \textit{Arc Length}=\theta r

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Given right triangle A w/a hypotenuse length of x+4 and a leg of x, and right triangle B, w/ a hypotense length of 3y and a leg
alex41 [277]

Answer:

Value is x=8 and y=4

Step-by-step explanation:

Given : A right triangle 'A'  hypotenuse length of x+4 and a leg of x,

and right triangle 'B' hypotenuse length of 3y and a leg length of y+4

To find : For what values of x and y are the triangles congruent by HL?  

Solution :

Triangle A,

Hypotenuse: x+4

Leg: x

Triangle B,  

Hypotenuse: 3y

Leg: y+4  

Since the triangle A and B are congruent so, the sides of triangles are equal.

x+4=3y    (Hypotenuse are equal)  ..........[1]

and x=y+4   (Legs are equal)   ..........[2]

Solving the equation of system,

Put the value of x from [2] in [1],

x+4=3y

y+4+4=3y

8=2y

y=4

Substitute y in [2],

x=y+4

x=4+4

x=8

Therefore, The value of x=8 and y=4

Verifying for the values of x and y:

Triangle A,

Hypotenuse: x+4=8+4=12

Leg: x=8

Triangle B,  

Hypotenuse: 3y=3(4)=12

Leg: y+4=4+4=8

Both hypotenuses and both legs are equal hence they are congruent.

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