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Scrat [10]
4 years ago
7

A circle with circumference 18 has an arc with a 120? central angle. What is the length of the arc?

Mathematics
2 answers:
Trava [24]4 years ago
5 0

(angle \div 360) \times \pi { d}

120/360 ×( pi × diameter )

aleksklad [387]4 years ago
3 0

Answer:

Arc length of circle with circumference 18 and an arc with a 120° central angle is:

6

Step-by-step explanation:

The arc length of a cicle is given by:

2\pi r\times \dfrac{\theta}{360\°}

Here, circumference=18

i.e. 2πr=18

and \theta=120\°

Arc length=

18\times \dfrac{120\°}{360\°}\\ \\=6

Hence, Arc length of circle with circumference 18 and an arc with a 120° central angle is:

6

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AURORKA [14]

8 4/8 - 2 2/8 = 6 2/8in or 6.25in
8 0
4 years ago
What is the rate of change of the function y=-5x-5
sashaice [31]

Answer:

Rate of change = -5.

Step-by-step explanation:

The rate of change is essentially the <u><em>slope</em></u>, m = -5, of the given function,

y = -5x - 5

6 0
3 years ago
Find the equation of the line that is parallel to the given line and passes through the given point
Sati [7]

Answer:

\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}

Step-by-step explanation:

\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}

\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}

\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (8,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}

x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1

\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4

5 0
4 years ago
The equation |p| = 2 represents the total number of points that can be earned or lost during one turn of a game. Which best desc
BartSMP [9]

Answer:

-2 or 2.

Step-by-step explanation:

We have been given an equation |p|=2, which represents the total number of points that can be earned or lost during one turn of a game.

Since absolute value of a number is the distance between the number and the origin. Absolute value of a number determines how far a number is from zero (origin) on the number line.

Using definition of absolute value function we will get,

p=-2\text{ or } p=2

Therefore, -2 or 2 describes the number of points that can be earned or lost during one turn.

8 0
3 years ago
Read 2 more answers
Why was the harlem renaissance in harlem?
Whitepunk [10]

Answer:

The great migration drew to Harlem some of the greatest minds and brightest talents of the day. some 300, 000 African Americans from the South had moved North.

Step-by-step explanation:

If this is not useful look up Harlem Renaissance website for information

6 0
3 years ago
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