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swat32
3 years ago
13

What is the arc length when θ = 3 pi over 5 and the radius is 7 cm? (5 points)

Mathematics
1 answer:
erastova [34]3 years ago
4 0
The correct answer is 21π/5

Explanation:
The arc length of a circle is given as = radius × angle subtended by the arc at centre.
Here, r = 7 cm.
θ = 3π/5
Therefore, arc length, l = rθ = 7×3π/5 = 21π/5
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Find the value of Y.
Deffense [45]

Answer:

  5√3

Step-by-step explanation:

The ratio of side lengths in a 30-60-90 triangle is ...

  1 : √3 : 2

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Multiplying by 5, we have ...

  1 : √3 : 2 = x : y : 10 = 5 : 5√3 : 10

The value of y is 5√3.

_____

<em>Additional comment</em>

y is the side adjacent to the 30° angle, so can be found from ...

  Cos = Adjacent/Hypotenuse

  Adjacent = Cos × Hypotenuse . . . . . multiply by hypotenuse

  y = cos(30°)×10 = (√3)/2 × 10 . . . . . . substitute corresponding values

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The value of x is 5.

7 0
2 years ago
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Greg needs to buy plastic spoons. Brand A has a box of 25 spoons for $1.99 . Brand B has a box of 42 spoons for $3.89 . Find the
Helga [31]
To find the price per spoon of brand A, divide the cost by the amount of spoons:

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3.89 / 42 = 0.0926

Brand A, at $0.08 a unit, is the better buy of brands A and B.

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8 0
3 years ago
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PLEASE HELP ASAP ILL GIVE BRAINLIEST
Veseljchak [2.6K]

Answer:

x>-23/7

Step-by-step explanation:

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5 0
3 years ago
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3 0
3 years ago
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DaniilM [7]

Step-by-step explanation:

4(a-3)=22

a-3=4-22

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x-6=60

×=60+6

x=66

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3 years ago
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