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Nostrana [21]
3 years ago
7

What is the arc length if θ = 2 pi over 7 and the radius is 3 cm?

Mathematics
2 answers:
denis-greek [22]3 years ago
5 0
Arc length = <span>θ/2pi * 2pi * r = </span><span>θ * r = 2pi/7 * 3 = 6pi/7 = 2.69 cm</span>
laiz [17]3 years ago
5 0

Answer:

Length of the arc will be 2.69 cm.

Step-by-step explanation:

We have to calculate the length of an arc if θ = \frac{2\pi }{7} and radius of arc is 3 cm.

As we know length of an arc = r × θ

By putting the values of angle θ and radius of arc r in the formula

m (arc) =  \frac{2\pi }{7} × 3

           =  \frac{6\pi }{7}

           =  \frac{6(3.14)}{7}

           = 2.69 cm

Therefore, length of the arc will be 2.69 cm.

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3 years ago
Parallel Lines Cut by a Transversal: Maze
CaHeK987 [17]

Start from Start Here square, the pointer to the next question to resolve is given by the solution to the equation in the current square

The values of the Maze are as follows;

  1. x = 10
  2. x = 8
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  4. x = 5
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  6. x = 3
  7. x = -5
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  9. x = 7
  10. x = -7

Reason:

The solutions are;

10·x + 15 = 12·x - 5  by alternate interior angles theorem

  • ∴ x = 10

6·x + 6 = 5·x + 14 by alternate exterior angles theorem

  • ∴ x = 8

x + 109 = 100 by corresponding angles theorem

  • ∴ x = -9

11·x + 5 + 120° = 180° by same side interior angles theorem

  • ∴ x = 5

11·x - 1 = 10·x + 10 by corresponding angles theorem

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35·x + 5 = 110 by corresponding angles theorem

  • ∴ x = 3

x + 85 + x + 105 = 180 by same side interior angles theorem

  • ∴ x = -5

7·x - 3 + 12·x + 12 = 180° by same side interior angles theorem

  • ∴ x = 9

19·x - 3 = 130 by alternate interior angles theorem

  • ∴ x = 7

x + 67 = 60 by alternate interior angles theorem

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Learn more here:

brainly.com/question/10623667

brainly.com/question/11708384

7 0
3 years ago
Find the solution of 2/3x+1/4=-4/3
wolverine [178]
These questions can be daunting at first, but they're pretty simple to solve.

First, we need to establish a common denominator.  We have 2 / 3, 1 / 4, and
-4 / 3.  The least common denominator we can get is by multiplying 4 and 3 together to get 12.  So we will change the denominator as follows;

2 / 3, 1 / 4, -4 / 3  =  8 / 12, 3 / 12, -16 / 12

Now we can put these back into the equation.

8/12x + 3/12 = -16/12
8x + 3 = -16

It's simple math from here on out, but I'll show the process.  What we can basically do now is take away the denominator because it doesn't matter now that it's common.

Subtract 3 from both sides.  Now we have 8x = -19

Dividing by 8 on both sides of the equation will get you your answer.

x = -19/8


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6 0
3 years ago
Find the value of the expression if x=12.<br> 1. 3x
Marizza181 [45]

Answer:

36

Step-by-step explanation:

X equals 12, substitute X for 12

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olganol [36]

Answer :

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Explanation:

The original graph (dashed) is an absolute value function meaning f(x) = |x|

<u>Given:</u> y = 2f(x - 2) + 1

f(x - 2) means you plug in x - 2 for x in f(x) function

the new graph equation is: y = 2|x - 2| + 1

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  • The graph has a scale factor of 2
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<u>Visual:</u>

8 0
2 years ago
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