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disa [49]
2 years ago
13

A circle has a radius of 5.4 m. what is the exact length of an arc formed by a central angle measuring 60°? enter your answer in

the box. express your answer using π . m
Mathematics
1 answer:
velikii [3]2 years ago
3 0

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

<h3>What is the Length of an Arc?</h3>

The length of an arc is given by the formula,

\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}

where

θ is the angle, which arc creates at the centre of the circle in degree.

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as

\text{Length of the Arc} = 2\pi r \dfrac{\theta}{360}

                            = 2 \times \pi \times 5.4 \times \dfrac{60}{360}\\\\=5.655\rm\ m

Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

Learn more about Lenght of the Arc:

brainly.com/question/1577784

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Harlamova29_29 [7]
Standard Form is ax + by = c, where a, b, and c are not fractions and a is not negative.

So, you can go through each of your options to see which ones work with those rules. 

A. 2.5x + 3y = 12   No, this is not in Standard Form. 2.5 can be rewritten as 2<span>\frac{1}{2}, menaing A is a fraction, which you can't have.

B. -10x - 3y = 1   No, this is not in Standard Form. A is -10, but A can't be negative.

C. 2x + 3y = 12   Yes, this is in Standard Form. It follows all of the rules.

D. 5x + 5y = 10   Yes, this is in Standard Form. It follows all of the rules.

So, C and D are both written in Standard Form.


</span>
6 0
3 years ago
NEED HELP QUICK!!! Nicole works at the corporate headquarters for a major organization. Some days she feels as if she spends all
Fittoniya [83]

The travels you have described are:

                                       (Middle floor) + 8 + 5 - 9 + 7 - 32

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                                   =  (middle floor)  -  21  brought her to floor #1.

So                                   Middle floor  -  21  =  1

Add 21 to each side:    Middle floor  =  22 

The building has (2 x middle floor)  =  44 floors.

7 0
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How do I determine which is y=-1/3x+2?
Jlenok [28]

Step-by-step explanation:

This is a linear equation in slope intercept form which is

y = mx + b

where m is the slope and b is the y intercept.

The equation

y =  -  \frac{1}{3} x + 2

Has a slope of -1/3 so this means that the slope will be decreasing. A negative linear equation increases as we go left. and decreases as we go right. The y intercept is 2. So this means the graph must pass through (0,2) and when x=0, y must be 2.

In other words, look for a line that the y values increase as we go left and decrease we go right. Also look for a point (0,2) and make sure the graph pass through it.

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A rock concert promoter scheduled an outdoor concert on July 4th. If it does not rain, the promoter will make $30,427. If it doe
Zielflug [23.3K]

For the probability of rain on julty 4h of 0.5 his expected profit is  8885.5 dollars.

<h3>What is probability?</h3>

The probability is occurrence of a certain event out of the total number f events that can happen.

Given in the question the probability of rain is 0.5 therefore the probability of not raining is also 0.5.

If it does not rain he makes a profit of 30427 dollars and if it rains he suffers a loss of 12656 dollars.

We know, the expected profit is,

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learn more about probability here :

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Tresset [83]

Given:

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Where, h is a constant that represents the horizontal shift.

In the given problem f(x) is replaced by f(x - h) and we need to find the effect on the graph.

Here, we have x-h in place of x.

Therefore, the graph of f(x) shifts h units right to get the graph of f(x-h).

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