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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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Price __________ works because human minds assign disproportionate weight to the first information they receive when making deci

Burka [1]

Answer:

Anchoring

Step-by-step explanation:

Price anchoring is when potential buying rely on first price information about the commodity to buy. Price anchoring is used to create a price reference point when making decision as compare to old price. It also gives customers perception of future price.

7 0

3 years ago

If you know the rate of a water leak in gallons per hour, how can you find the number of hours it takes for 1 gallon to leak out

Evgen [1.6K]

1/the rate of leakage per hour

This will give you the time it takes for 1 gallon to leak out in hours.

For example, if something is leaking at the rate of 12 gallons per hour, it will take 1/12 of an hour for 1 gallon to leak out. ( or 5 min)

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3 years ago

5. A ski slope is 310 yards long with a vertical drop of 220 yards. Find the

OleMash [197]

It helps to draw a picture so you can see which trig ratios to use but...

310 is the hypotenuse of the ski slope and the side length across from the angle you’re looking for is 220, the vertical drop.

You can use sin to find theta.

sinx= 220/310

sinx=0.70967...
x = sin inverse of 0.70967....
x = 45°

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=13%20-%204%20%5Ctimes%205%20%5Cdiv%202%20%2B%2010%20%3D%20%20%5C%5C%20" id="TexFormula1" title

const2013 [10]

Answer:

So, 13 - 20 ÷2 + 10 = 13 - 10 + 10 = 3 + 10 = 13 ;

Step-by-step explanation:

3 0

3 years ago

What is an equation for the linear function whose graph contains the points (-1,-2) and (3,10) enter your answers in the boxes

mr Goodwill [35]

The equation for the linear function whose graph contains the points (-1, -2) and (3, 10) is y = 3x + 1

<h3>Solution:</h3>

Given that linear function whose graph contains the points (-1, -2) and (3, 10)

We have to find the equation of line

Any function of the form f (x) = m x + b, where m is not equal to 0 is called a linear function

So let us use the slope intercept form

The slope intercept form is given as:

y = mx + c

Where "m" is the slope of line and "c" is the y - intercept

Let us first find slope of line containing points (-1, -2) and (3, 10)

The slope of line is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text {Here } x_{1}=-1 \text { and } y_{1}=-2 \text { and } x_{2}=3 \text { and } y_{2}=10$

$m=\frac{10-(-2)}{3-(-1)}=\frac{12}{4}=3$

Thus the slope of line is "m" = 3

Substitute m = 3 and (x, y) = (-1, -2) in y = mx + c

-2 = 3(-1) + c

-2 = -3 + c

c = -2 + 3 = 1

Now substitute c = 1 and m = 3 in slope intercept form to get equation of line

y = 3x + 1

Thus the equation for the linear function is found out

6 0

4 years ago