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stealth61 [152]
2 years ago
11

How long is the arc intersected by a central angle of startfraction pi over 3 endfraction radians in a circle with a radius of 6

ft? round your answer to the nearest tenth. use 3.14 for pi.
Mathematics
1 answer:
vova2212 [387]2 years ago
4 0

The measure of the arc length is 6.28 units if the arc intersected by a central angle of  π/3 radians in a circle with a radius of 6 ft.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have:

The radius of the circle r = 6 ft

The measure of the central angle θ = π/3

We know,

s = rθ

s is the arc length.

s = 6(π/3)

s = 2(3.14)

s = 6.28

Thus, the measure of the arc length is 6.28 units if the arc intersected by a central angle of  π/3 radians in a circle with a radius of 6 ft.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

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The sum of two integers is 33. The larger is 6 more than twice the smaller. Find the two
grandymaker [24]

Answer:

24 and 9

Step-by-step explanation:

Hi there!

Let x be equal to the larger integer.

Let y be equal to the smaller integer.

<u>1) Construct equations</u>

  1. x+y=33 (The sum of two integers is 33)
  2. x=6+2y (The larger is 6 more than twice the smaller)

<u>2) Solve for one of the integer</u>

Isolate x in the first equation

x+y=33\\x=33-y

Plug the first equation into the second

33-y=6+2y

Combine like terms

33-6=2y+y\\27=3y\\9=y

Therefore, the smaller integer is 9.

<u />

<u>3) Solve for the other integer</u>

x+y=33

Plug in y (9)

x+9=33\\x=33-9\\x=24

Therefore, the larger integer is 24.

I hope this helps!

4 0
3 years ago
Read 2 more answers
a test has 20 multiple-choice questions with 5 choices each, followed by 35 true/false questions. if a student guesses on each q
Nuetrik [128]

Answer

There are 170 ways the student can answer the test.

Explanation

If there are 20 multiple-choice questions with 5 choices each, the student has 100 choices. The first question has 5 choices to pick from. The second has 5 as well. So does the third. Hopefully now you realize that you have to multiply the number of choices by the number of questions.

The same thing goes with the true/false questions. There are 2 choices for each true/false question, and there are 35 of those. 35×2 is 70. There are 70 ways to answer on the true/false questions.

Now combine the number of choices on the first part and the second part; 100+70 is 170.

3 0
3 years ago
Solve the inequality if possible 4(3-2x)&gt;2(6-4x)
GenaCL600 [577]

Final Answer: No Solution

Steps/Reasons/Explanation:

Question: 4(3-  2x) > 2(6-  4x)

<u>Step 1</u>: Divide both sides by 2.

2(3 - 2x) > 6 - 4x

<u>Step 2</u>: Expand.

6 - 4x > 6 - 4x

<u>Step 3</u>: Since 6 - 4x > 6 - 4x is false, we have no solution.

No Solution

~I hope I helped you :)~

6 0
2 years ago
Read 2 more answers
Express the first 10 terms of a sequence 2,5,8,11 in sigma notation<br>​
mash [69]
Answer

The first 10 terms of thjs sequence are 2, 5, 8, 11, 14, 17, 20, 23, 26, 29

Explanation:

You can notice that to get to the next term, you have to add 3.
So we add 3 every next term
4 0
2 years ago
A line has a slope of -1/2 and a y-intercept of –2. So what is the x intercept on the line.
SashulF [63]

Answer:

(4,0)

Step-by-step explanation:

The equation of the line is y = (-1/2)x - 2.  At the x-intercept, y = 0. Setting y = (-1/2)x - 2 to zero, we get (1/2)x = 2, and thus x = 4.  

6 0
3 years ago
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