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4 years ago

To obtain the length of an arc, what fraction is multiplied by the circumference of a circle (C = 2πr)?

2 answers:

5 0

The length of an arc is a portion of the circumference of the circle, and the circumference itself can be considered as a full arc length. The arc length is usually represented by letter 's'. To get the arc length, we must get the proportion of the arc measure and arc length.

Arc measure = Arc length
360º Circumference

Cross multiply and transpose to get the arc length's formula. Since arc measure is equal to the central angle that intercepts the arc, we can replace arc measure to central angle.

Answer: Letter D - central angle over 360

Arc length = Central angle x Circumference
360º

Alexxx [7]4 years ago

3 0

The arc length by definition is given by:
s = r * theta
Where,
r: radius of the circle
theta: central angle in degrees
Substituting values we have:
s = 2πr * (theta / 360)
Answer:
D. central angle over 360

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How do you find x and y on the hypotenuse and long side of a roght triangle

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3 years ago

John finds a toy train set John finds a toy train set on sale for 20% off at a toy store. The original price was $35. John

Helen [10]

Well here's your answer straight he must pay 29.82$ and here's my work,

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3 years ago

The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper wil

Mandarinka [93]

slope intercept form is y=mx+b

So slope intercept form is The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper will last about 80 days

(A) Lets make a table

X axis represents the Number of days paper used

y axis represents the packs of printer paper used

x y

days packs of printer paper used

0 0 (0 days , 0 packs used)

80 140 (in 80 days , 140 packs paper used)

The graph is attached below

(B) To find Equation of a line we use points (0,0) and (80,140)

$slope = \frac{y_2-y_1}{x_2-x_1} = \frac{140-0}{80-0} = \frac{7}{4}$

y intecept is (0,0)

so b= 4

Slope intercept form of a line i y=mx + b

m is the slope and b is the y intercept

So slope intercept form of line becomes

$y= \frac{7}{4} x$

Standard form is Ax + By =C

$y= \frac{7}{4} x$

Multiply both sides by 4

4y = 7x

Now subtract 7x on both sides

-7x + 4y =0 is the standard form

$y= \frac{7}{4} x$

$y= \frac{7}{4}(30)= 52.5$

Total 140 packs of printer paper

52.5 packs of paper used

Packs of paper remaining after 30 days = 140- 52.5= 87.5

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3 years ago

What is a proportion in math definition ???????????????

miv72 [106K]

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3 years ago

14/5 + - 4/3 = Adding and Subtracting Fractions.

Helga [31]

Answer:

Step-by-step explanation:

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3 years ago