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svet-max [94.6K]
3 years ago
9

What is the length of arc S shown below?

Mathematics
2 answers:
ki77a [65]3 years ago
8 0

Answer:

s = 2

Step-by-step explanation:

The length of the arc s is calculated using

s = circumference × fraction of circle

  = 2πr × \frac{0.4}{2\pi } ( cancel 2π )

  = 5 × 0.4 = 2

Kisachek [45]3 years ago
4 0

Answer:

Length of arc S = 2 units

Step-by-step explanation:

Circumference of the circle = 2πr

Here r = radius of the circle

Now length of the intercepted arc by the sector will be

S = Length of Circumference × \frac{\text{angle inscribed by the sector}}{2\pi}

S = 2\pi r\times {\frac{0.4}{2\pi } }  [Angle inscribed by the sector is 0.4 radians]

  = 0.4r

  = 5 × 0.4

  = 2.0 units

Therefore, length of arc S is 2 units.

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There are 221 students on a field trip.
Liono4ka [1.6K]

The equation that models the students is a linear equation

The equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36

<h3>How to determine the equation?</h3>

The given parameters are:

Students = 221

Van = 5

The rest students = 6 buses

Start by calculating the number of students remaining:

Remaining students = 221 - 5

Remaining students = 216

Represent the number of students in each bus with x.

So, we have:

6 buses * x  = Remaining students

This gives

6x = 216

Divide both sides by 6

x = 36

Hence, the equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36

Read more about linear equations at:

brainly.com/question/15602982

4 0
2 years ago
Sarah rolls a die twice. What is the probability that she rolls a 3 and then an even number?
vekshin1

Answer:

A) 1/12

Step-by-step explanation:

The sample space of rolling a die is { 1,2,3,4,5,6}

P (getting 3)= The number of "3"'s  in the sample space over the number of items in the sample space

P (getting a 3} = 1/6

P (getting  even)= The number of evens  in the sample space over the number of items in the sample space

P (getting an even} = 3/6= 1/2

Since these are independent events, we multiply the probabilities

P(3, even) = 1/6 * 1/2 = 1/12

6 0
3 years ago
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PLEASE HELP<br> Find the range of f(x) = -3x + 2 for the domain {-3, 1, 2,5}.
Anastasy [175]

Answer:

range = {11,-1,-4,-13}

Step-by-step explanation:

domain is "input" range is "output"

just "plug" {-3, 1, 2,5} into -3x + 2 one at a time

5 0
3 years ago
Mrs martin has 80 boxes of paper clips there are 10 paper clip in each box. How many paper clip does she have ?
Bezzdna [24]
80*10=800
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5 0
4 years ago
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What is the cross section shown below?
goldenfox [79]
<h3>Answer: Choice A) circle</h3>

Explanation:

Imagine that white rectangle as a blade that cuts the cylinder as the diagram shows. If you pull the top cylinder off and examine the bottom of that upper piece, then you'll see a circle forms. It's congruent to the circular face of the original cylinder. This is because the cutting plane is parallel to both base faces of the cylinder. Any sort of tilt will make an ellipse form. Keep in mind that any circle is an ellipse, but not vice versa.

Another example of a cross section: cut an orange along its center and notice that a circle (more or less) forms showing the inner part of the orange.

Yet another example of a cross section: Imagine an egyptian pyramid cut from the top most point on downward such that you vertically slice it in half. If you pull away one half, you should see a triangular cross section forms.

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4 years ago
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