All categories

3 years ago

Given an arc length of 6 pie and a radius of 2 find the measure of the central angle formed by the arc

Mathematics

1 answer:

Semmy [17]3 years ago

6 0

Θ=3 $\pi$ radians

Step-by-step explanation:

Step 1:

Let the arc length (S) be 6 $\pi$ units

Radius of Arc(r) = 2 units

By the basic formula to find the central angle we have

$S=r*$ Θ

where, S= Arc length

r= Radius of arc

Θ = Central angle

Step 2:

From the formula to find Θ,

Θ = (S/r)

Θ = ( 6 $\pi$ ) / ( 2 )

Θ = 3 $\pi$ radians

You might be interested in

You want to estimate the mean amount of time college students spend on the Internet each month. How many college students must y

KonstantinChe [14]

Answer:

752.95

Step-by-step explanation:

Data provided in the question

The standard deviation of population = 210

The Margin of error = 15

The confidence level is 75%, so the z value is 1.96

Now the required sample size is

$= 1.96^2\times \frac{210^2}{15^2}$

= 752.95

Hence, the number of college students spends on the internet each month is 752.95

Simply we considered the above values so that the n could come

8 0

3 years ago

What is the conversion?

Gelneren [198K]

Answer:

see below

Step-by-step explanation:

The conversion factor in the box is the product ...

$\dfrac{1\,\text{kPa}}{1000\,\text{Pa}}\cdot\left(\dfrac{1\,\text{m}}{100\,\text{cm}}\right)^3=10^{-9}\,\dfrac{\text{kPa m}^3}{\text{Pa cm}^3}$

_____

The purpose of a conversion factor is to multiply by 1 in the form of a ratio that changes the units. We know that 1000 Pa = 1 kPa, so the ratio (1 kPa)/(1000 Pa) is the ratio of two equal quantities. It has the value 1 and will change units from Pa to kPa.

Likewise, 100 cm = 1 m, so (1 m)/(100 cm) will change the units from cm to m. However the given expression uses cm³, so we need to multiply by the conversion factor 3 times. That factor is ((1 m)/(100 cm))³ = (1 m³)/(10⁶ cm³).

To choose the appropriate conversion factor, look at the units you have (Pa, cm) and the units you want (kPa, m). Find the relationship these have to each other, and write the ratio so that it will cancel the units you have and leave the units you want.

When SI units are involved the prefixes help you out. k = kilo = 1000; c = centi = 1/100. It is worthwhile to get to know them.

8 0

3 years ago

The GCF of 18 and 30 is ____.

hammer [34]

The GCF of 18 and 30 is 6

4 0

3 years ago

Read 2 more answers

Tyra makes $21.40 per hour at her job for the first 40 hours and $32.10 for anything over 40 hours. if tyra typically works 45 h

Debora [2.8K]

She works for 40 hours, and then 5 hours.
So, for these first 40 hours, Tyra earns $21.40 per hour. We can find how much she earns in 40 hours:

21.40 x 40 = 856.
So, in the first 40 hours, she makes $856.

Now, for any number of hours Tayra works more that 40 hours, she will earn $32.10 each hour.

She works 5 hours over 40 hours, since it is 45 hours in total.
Hence, Tayra will earn $32.10 every hour for the 5 hours:

5 x 32.10 = 160.5.
Therefore, she will earn $160.50 for the 5 hours.

Now we have both of the earning amounts that make up how much she makes in the 45 hours. We can add them together

40 hours + 5 hours = 45 hours.
Substitute the amounts in the hours.

856 + 160.5 = 1016.5.

Thus, the answer is that Tyra will warn $1,016.50 in the total 45 hours.
Ergo, the correct answer is C.

Hope this helps, let me know if you need anything else! :)

7 0

3 years ago

Read 2 more answers

-5: -2; 1;<br><br>write the next 3 terms

Nataly_w [17]

Answer:

Next 3 of the sequence are 4, 7, 10

You are adding by 3.

-2 - -5= 3

-2 + 3=1

1+3=4

4+3=7

7+3=10

5 0

2 years ago