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3 years ago

A circle has a circumference of 12. It has an arc of length 11.

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

7 0

Answer:

The central angle is 330 degrees

Step-by-step explanation:

The arc length is equal to the circumference time the fractional part of the circle

arc length = circumference * x/360

11 = 12 * x/360

Divide each side by 12

11/12 = 12/12 *x/360

11/12 = x/360

Multiply by 360

11*360/12 = x /360 *360

330 = x

The central angle is 330 degrees

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Answer:

The second statement is Correct.

Step-by-step explanation:

Consider the provided information.

It is given that Antonio uses a calculator to find $38-\frac{44-16}{4}$ and gets a result of –10.

$38-\frac{44-16}{4}=38-\frac{28}{4}$

$=38-7$

$=31$

So, the first statement is incorrect.

2nd statement: Antonio found the answer for $38-44-\frac{16}{4}$

$38-44-\frac{16}{4}=-6-4$

$38-44-\frac{16}{4}=-10$

The second statement is Correct.

Third statement: Antonio found the answer for $\frac{38-44-16}{4}$

$\frac{38-44-16}{4}=-5.5$

So, the third statement is incorrect.

Fourth statement: Antonio found the answer for $38+\frac{44-16}{4}$

$38+\frac{44-16}{4}=38+7$

$38+\frac{44-16}{4}=45$

So, the fourth statement is incorrect.

Hence, the second statement is Correct.

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3 years ago

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DILATION GEOMETRY QUESTION

Cloud [144]

Answer:

A'B'C'D' was dilated by 4

Step-by-step explanation:

The distance from B' to C' is 1.

The distance from B to C is 4.

4/1=4

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3 years ago

"How much do students pay, on average, for textbooks during the first semester in college? From a random sample of 400 students

dezoksy [38]

Answer: The margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

Step-by-step explanation:

Since we have given that

Sample size = 400

Mean = $357.75

Standard deviation = $37.89

At 95% confidence level, z = 1.96

We first find the margin of error.

Margin of error is given by

$z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{37.89}{\sqrt{400}}\\\\=3.71$

95% confidence interval would be

$\bar{x}\pm \text{margin of error}\\\\=357.75\pm 3.71\\\\=(357.75-3.71,357.75+3.71)\\\\=(354.04,361.46)$

Hence, the margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

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3 years ago

WILL CHOOSE BRAINLIEST!!! Quadrilateral ABCD is congruent to quadrilateral RSTU. Without seeing the figures visually, which stat

garri49 [273]

2nd option

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1 year ago

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Simplify the following fraction: 40/56<br>

Aloiza [94]

Answer:

5/7

Step-by-step explanation:

Simplify by finding common factors and dividing both the numerator and denominator by it.

40/ 56 = 20/28(divided by 2) = 10 / 14 (divided by 2) = 5/7 ( divided by 2)

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3 years ago

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