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gogolik [260]
3 years ago
14

What is the length of the arc of a circle of diameter 8 meters subtended by a central angle of

Mathematics
1 answer:
const2013 [10]3 years ago
6 0

Answer:

9.42 meters

Step-by-step explanation:

diameter = 8 m

radius = 4 m

Length of arc = radius * central angle in radians

= 4 * 3\pi / 4

= 12\pi / 4

= 3\pi

= 66 / 7

= 9.42 m

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lys-0071 [83]
What worksheet or are you talking to somebody else
8 0
3 years ago
The sum of the first four terms of an arithmetic sequence is $10$. If the fifth term is $5$, what is the sixth term?
Nookie1986 [14]

The sixth term of an arithmetic sequence is 6

<h3>How to find arithmetic sequence?</h3>

The sum of the first four terms of an arithmetic sequence is 10.

The fifth term is 5.

Therefore,

sum of term = n / 2(2a + (n - 1)d)

where

  • a = first term
  • d = common difference
  • n = number of terms

Therefore,

n = 4

10 = 4 / 2 (2a + 3d)

10 = 2(2a + 3d)

10 = 4a + 6d

4a + 6d = 10

a + 4d = 5

4a + 6d = 10

4a + 16d = 20

10d = 10

d = 1

a + 4(1) = 5

a = 1

Therefore,

6th term = a + 5d

6th term = 1 + 5(1)

6th term = 6

learn more on sequence here: brainly.com/question/24128922

#SPJ1

7 0
1 year ago
What is the equation of the line that has a slope of 1/5 and a y-intercept of -1
DiKsa [7]

Answer:

C   y = 1/5x - 1

Step-by-step explanation:

Slope intercept form: y = mx + b where m = slope and b = y-intercept.

Substitute into the slope intercept form m= 1/5 and b = -1

y = 1/5x - 1

4 0
2 years ago
3.5,-2,0,-7/3,-6 in order from greatest to least
icang [17]

Answer:

in order from greatest to least:

3.5  0  -2  -7/3  -6

Step-by-step explanation:

5 0
4 years ago
What is 3k +2 ( 5k - 3) = 7
polet [3.4K]

Answer:

k= -0.2

Step-by-step explanation:

3+2(5k-3)=7              (original)

3+10k-6=7                 (distribute 2 in (5k-3))

9+10k=7                    (combine like terms 3+-6)

10k=-2                       (subtract 9 on both sides to isolate k)

k=-0.2                       (divide 10 on both sides to get you're answer/isolate k)

3 0
3 years ago
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