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kirill [66]
3 years ago
15

a circle has a circumstance of 20. it has an arc on length 4. what is the central angle of the arc in degrees?

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Answer:

∠72°.

Step-by-step explanation:

If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

\frac{4}{20} = \frac{x}{360}

Cross multiply:

1440 = 20x\\

Divide both sides by '20':

x = 72°.

Therefore, the measure of the central angle of the arc is ∠72°.

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When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $10,000 a year with a com
MArishka [77]

Using linear functions, it is found that the number of electronics that you need to sell for a larger income in option A is x > 200,000.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the <u>base salaries as the intercept and the commissions as the slope</u>, the functions are given by:

  • A(x) = 10000 + 0.09x.
  • B(x) = 20000 + 0.04x.

To produce a larger income in option A, it is needed that:

A(x) > B(x).

Hence:

10000 + 0.09x > 20000 + 0.04x

0.05x > 10000

x > 10000/0.05

x > 200,000

More can be learned about linear functions at brainly.com/question/24808124

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2 years ago
Write the slope intercept form of the equation of each line. Help me plz
Alexxandr [17]

Answer:

y=-1/2x-2

Step-by-step explanation:

4 0
3 years ago
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Zepler [3.9K]
Espero que esto ayude!!!

4 0
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Please help ASAP!!!
Ne4ueva [31]

Answer:

Step-by-step explanation:

Find the sum of the squares of the residuals for

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6 0
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Let Upper A equals left bracket Start 2 By 2 Matrix 1st Row 1st Column negative 2 2nd Column 4 2nd Row 1st Column 1 2nd Column 3
vagabundo [1.1K]

Answer:

not

Step-by-step explanation:

\left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] *\left[\begin{array}{ccc}-2&1\\3&7\end{array}\right]=

First is A and Second is B

Let's find A*B

\left[\begin{array}{ccc}-2(-2)+4*3&-2*1+4*7\\1(-2)+3*3&1*1+3*7\end{array}\right] =\left[\begin{array}{ccc}16&26\\7&22\end{array}\right]

b)

\left[\begin{array}{ccc}-2&1\\3&7\end{array}\right]  \left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] =

Now let's find B*A

\left[\begin{array}{ccc}-2(-2)+1*1&-2*4+1*3\\3(-2)+7*1&3*4+7*3\end{array}\right] =\left[\begin{array}{ccc}5&-5\\1&23\end{array}\right]

c) They are not

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3 years ago
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