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weeeeeb [17]
3 years ago
7

The arc length

Mathematics
1 answer:
Zina [86]3 years ago
4 0

Answer:

  • s = rθ
  • 2.5 radians
  • 143.24°

Step-by-step explanation:

The applicable formula is ...

  s = rθ

where s is the arc length, r is the circle's radius, and θ is the central angle in radians.

Filling in the given values, we find ...

  15 = 6θ

  θ = 15/6 = 2.5 . . . radians

Pi (π) radians is 180°, so the angle in degrees is ...

  2.5(180°/π) ≈ 143.24°

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Solve the system of equation below x+y+z=2 x-y+5z=6
mamaluj [8]
X + y + z = 2
x - y + 5z = 6

cancelando +y com -y:

x + z = 2*(-5)
x + 5z = 6

-5x -5z = -10
...x +5z = 6
---------------------
-4x = -4 *(-1)
4x = 4
x = 4/4
x = 1

x + z = 2
1 + z = 2
z = 2 - 1
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x + y + z = 2
1 + y + 1 = 2
2 + y = 2
y = 2 - 2
y = 0 

S: {x, y, z} = {1, 0, 1}


8 0
3 years ago
Charlie saves $21.45 each month for 6 months.In the seventh month, he only saves $10.60.How much money will Charlie have after 7
Tomtit [17]
$21.45 x 6 = $128.7
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8 0
3 years ago
If you disssolved 50 g of sugar in 30 g of water what would the sugar concentration be
Lelu [443]
<h3>Answer:  62.5%</h3>

Explanation:

There are 50+30 = 80 grams of sugar and water mixed together.

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5 0
2 years ago
Solve : <br> 20-9x=11<br> 4(2x+1)=8<br> 5(2x+5)=-15<br> 3(8x+1)=-21
laila [671]
<span>20-9x=11
-9x=11-20
-9x= -9
x= -9/(-9)
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4(2x+1)=8
2x+1=8/4
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2x=2-1
2x=1
x=1/2
x=0.5


5(2x+5)=-15
2x+5= -15/5
2x+5= -3
2x= -3-5
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x= -8/2
x=-4

3(8x+1)=-21
8x+1= -21/3
8x+1= -7
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</span>
4 0
3 years ago
Keisha solved the following equation: 4x − 2x + 8 = 6(x + 4) Step Work Justification 1 2x + 8 = 6(x + 4) Combine like terms 2 2x
kolbaska11 [484]

4x - 2x + 8 = 6(x + 4)   Given

(4x - 2x) + 8 = 6(x + 4)

2x + 8 = 6(x + 4)     Combine like terms

2x + 8 = (6)(x) + (6)(4)

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2x - 6x + 8 = 6x - 6x + 24

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-4x + 8 - 8 = 24 - 8

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4 0
3 years ago
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