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My name is Ann [436]
3 years ago
8

If the circumference of a circle is 120 inches and M angle B equals 18° then what is the length of arc AC

Mathematics
1 answer:
Andru [333]3 years ago
6 0

Answer:

For a circle of radius R, the circumference is:

C = 2*pi*R

where pi = 3.14

And if we have an arc defined by an angle θ, the length of the arc is:

A = (θ/360°)*2*pi*R

Here we can not see the image, then i assume that B is the angle that defines the arc AC.

Now we know that the circumference is 120 in, then:

2*pi*R = 120in

Then the length of the arc is:

A = (θ/360°)*120 in

Then if the angle is 18°, we have:

A = (18°/360)*120 in = 6in

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Answer:

A=248

Step-by-step explanation:

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3 years ago
In a small library , there are 5 nonfiction books for every 9 fiction books There are 130 a . How many fiction books are there ?
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Answer: 234

Step-by-step explanation:

If there are 130 nonfiction books, then there are 234 fiction books

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Need help on these asap please
Elenna [48]
9.6958 rounded to the nearest hundredth is 9.70
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Express each ratio as a fraction in the simplest form.<br> 12 beetles out of 18 insects<br> .
slava [35]

Answer:

2/3

Step-by-step explanation:

12/6=2

18/6=3

so

the fraction is 2/3

i think this is what your teachers means, lmk if thats wrong

3 0
3 years ago
A 90 percent confidence interval for the slope of a regression line is determined to be (-0.181, 1.529). Which of the following
GenaCL600 [577]

Answer: a. The correlation coefficient of the data is positive.

Step-by-step explanation:

Estimated slope of sample regression line  = \dfrac{Upper \ limit + lower\ limit}{2}

Here , confidence interval :  (-0.181, 1.529)

Estimated slope of sample regression line  = \dfrac{-0.181+1.529}{2}

=\dfrac{1.348}{2}\\\\=0.674\ \ \ \ [\text{ positive}]

⇒Correlation coefficient(r) must be positive, So a. is true.

But, d. and e. are wrong(0.674 ≠ 0 or 1.348).

We cannot check residuals or its sum from confidence interval of slope of a regression line, so b is wrong.

We cannot say that scatterplot is linear as we cannot determine it from interval, so c. is wrong

So, the correct option : a. The correlation coefficient of the data is positive.

7 0
3 years ago
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