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3 years ago

The radius of a circle measures 5 inches A central angle of the circle measuring 12 radians cuts off a sector

Mathematics

1 answer:

blagie [28]3 years ago

8 0

Answer:

25/4 square inches

Step-by-step explanation:

The area of a sector of a circle is given by the formula ...

A = (1/2)r²θ

where r is the radius and θ is the central angle in radians.

For your sector, the area is ...

A = (1/2)(5 in)²(1/2) = 25/4 in²

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Help and explain how you got it.<br><br> no trolling or report!

Galina-37 [17]

Answer:

I am 100% confident in my calculations. I'm not 100% sure about interpreting. Sorry I can't be of more help.

Part A:

Median: 4.5

IQR: 3.5

Mode: 6

I think the median/IQR is a better measure of center and variability because the range of data is so big (10 - 0 = 10), and the data skews to the right with the 6s.

Part B:

I would say no. It is the one that occurs most frequently, but there are many more times she rides less than 6, which is why the median is 4.5

Step-by-step explanation:

Mean: 4.714

MAD: 2.43

Median: 4.5

IQR: 3.5

Mode: 6

the number set in order:

0, 2, 2, 2.5, 2.5, 3, 4, 5, 6, 6, 6, 8, 9, 10

The median (middle number) is two numbers: 4 and 5, so the median is 4.5

The first quartile/Q1 (middle of the bottom half of data) is 2.5, the third quartile/Q3 (middle of the top half of data) is 6. So the IQR (interquartile range) is 6 - 2.5 = 3.5

The mean is the sum of the numbers divided by the quantity of the numbers, so 66/14 = 4.714

the mean absolute deviation is found by calculating the mean, and then finding the absolute value of the difference between each number of the set and the mean...then adding those together and finding the mean of that set. Labor intensive, but that's 34/14 = 2.42857143

4 0

3 years ago

How does the graph of g(x)= 1/x-5+2 compared to the graph of the parent function f(x)=1/x?

Finger [1]

Answer: The graph is shifted to the right by 5 units and shifted up from the parent function.

Step-by-step explanation:

1. By definition, a parent function is the simplest form of a function.

2. You have the following parent function given in the problem:

$f(x)=\frac{1}{x}$

2. The function g(x) is obtained from the function f(x)

$g(x)=\frac{1}{x-5}+2$

Where the subtraction of 5 indicates the horizotanl shift to the left and the addition of 2 indicates the vertical shift up.

3. Therefore, keeping the information above on mind, you can conclude that the answer is: the graph is shifted to the right by 5 units and shifted up from the parent function.

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3 years ago

Given: r is inversely proportional to s. If r = 16 when s = 3, then write the formula for the relation between r and s.

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Given that r is inversely proportional to s then the equation relating them is

r = $\frac{k}{s}$ ← k is the constant of proportion

To find k use the condition r = 16 when s = 3

k = rs = 16 × 3 = 48

r = $\frac{48}{s}$ ← equation of variation → B

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3 years ago

If x2 = 4, what are the possible numbers for x?

vichka [17]

Answer:

Step-by-step explanation:

x=2 so 2×2=4

(mark me as brainlest)

4 0

3 years ago

Rewrite (2x + 8) + 4 using the associative property. Then simplify.

skelet666 [1.2K]

Answer:

2x + 12

Step-by-step explanation:

Example of Associative Property Addition:

a + (b+c) = b + (a+c)

Now, implement it to the given expression:

(2x+8) + 4 = 2x + (8+4)

That simplifies to:

2x + 12

4 0

3 years ago

Read 2 more answers