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Stella [2.4K]
2 years ago
11

A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle

Mathematics
1 answer:
AnnZ [28]2 years ago
4 0

Answer:

9 cm

Step-by-step explanation:

Arc length = θ/360 × 2πr

A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle

Hence,

3π = 120/360 × 2πr

Diameter = 2r

3π = 1/3 × 2πr

Cross Multiply

9π = 2πr

2r = 9π/π

Note that :

Diameter = 2r

Hence,

Diameter = 9 cm

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5 0
3 years ago
Solve. x + 3y = 16 y = 7
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Answer:

x = -5, y= 7. You can check this yourself by plugging in the numbers.

Step-by-step explanation:

3 0
2 years ago
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The manufacturer of Pepsi claims that its 2-liter bottles contain, on average, no more than 250 calories. A sample of 20 2-liter
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Answer:

Yes, Sample information does indicate that a 2-liter bottle of Pepsi contains more than 250 calories  

Step-by-step explanation:  

Null Hypothesis [H0] : u < 250  

Alternate Hypothesis [H1] : u > 250 {One Tail}  

t = (x' - u) / [ sd / √n ]  

= (255 - 250) / (5.6 / √20)  

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4 0
2 years ago
A thin tube stretched across a street counts the number of pairs of wheels that pass over it. A vehicle classified as type A wit
aliina [53]

Answer: All possible solutions would be

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Step-by-step explanation:

Let the number of vehicle of type A be 'x'.

Let the number of vehicle of type B be 'y'.

Since we have given that

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So, all possible solutions would be

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7 0
2 years ago
Pls help I’ll addd extra points
Irina-Kira [14]

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hoped this helped:)

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3 years ago
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