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stepladder [879]
3 years ago
10

Express answer in exact form.

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
3 0
Radii and chord form an equilateral triangle. The angle of the larger segment is 360^o-60^o=300^o.

The length of the larger segment is

l= \frac{2r\pi\alpha}{360^o}= \frac{2\times 8\pi300^o}{360^o}= \frac{ 16\pi5}{6}= \frac{ 8\pi5}{3}=\frac{ 40\pi}{3}
You might be interested in
A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?
blsea [12.9K]

Answer: y = 4x

Step-by-step explanation: Slope intercept form is y = mx + b where m is the slop and b is the x intercept

We can solve for slope using the given points

(2-1)/(8-4) = 1/4, thus m = 1/4

y = 1/4x +b

Now to solve for b, we can just plug in one of the points to see what makes b work

1 = 4*(1/4) + b

1 = 1 +b

b = 0

7 0
3 years ago
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.9 years with a
Bas_tet [7]

Answer:

5.9 years.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In this question:

Mean of the population is \mu = 5.9

If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the mean of the sampling distribution of sample means?

By the Central Limit Theorem, the same population mean, of 5.9 years.

3 0
3 years ago
Help!! 20 points and brainly!!
sergejj [24]

Answer:

26

Step-by-step explanation:

Let x be the first even integer

x+2 is the second even integer

x+4  is the third even integer

The sum of three consecutive even integers is 84

x+ (x+2) + (x+4) =84

Combine like terms

3x +6 = 84

Subtract 6 from each side

3x+6-6 =84-6

3x =78

Divide each side by 3

3x/3 = 78/3

x =26

The three integers are 26, 28,30

The smallest is 26

5 0
4 years ago
Read 2 more answers
Find the quotient.<br> 36s^3t-26st<br> -----------------<br> -2st<br> Enter the correct answer.
MrRa [10]

Answer:

it is makeing me do it

Step-by-step explanation:

4 0
3 years ago
3
taurus [48]

Answer:

f(-4) = -5

Step-by-step explanation:

f(x) = 3/2x + 1

f(-4) = 3/2 (-4) + 1

= -6 + 1

= -5

4 0
3 years ago
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