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bekas [8.4K]
3 years ago
13

find the circumference of the circle. d=23 in. a)144.44 in b)1661.06 in c)36.11 in d)72.22 in e)415.27 in

Mathematics
2 answers:
3241004551 [841]3 years ago
8 0
The answer is D. 72.22 
snow_lady [41]3 years ago
4 0

Circumference of a circle = \pi (diameter)

Diameter = 23 in.

Plug in the diameter = 23 in in the formula of circumference given above

Circumference of a circle = \pi (23)

Circumference of a circle = 23 \pi

\pi = 3.14

Circumference of a circle = 23 (3.14)

Circumference of a circle = 72.22 in

Option D is the answer

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Write a rule for the nth term of the arithmetic sequence:<br><br> a11= 50, d = 7
ivolga24 [154]

Answer:

Required rule for n^{th} is a_{n}=7n-27.

Step-by-step explanation:

Given that,

a_{11} = 50,\  \  d=7

From the question: we have to write the n^{th} term of Arithmetic sequence.

Arithmetic Sequence or Arithmetic progression (A.P) : It is a sequence which possess that difference between of two successive sequence is always constant.

                a_{1} ,a_{2},a_{3},a_{4}.....................a_{n-1},a_{n}

                                        where, a_{1} is the first term of A.P

                                                     d is the common difference.

                                                     a_{n} is the last term or general term.

The above sequence to be in A.P then their common difference should be equal.

          d=a_{2}-a_{1} =a_{3}-a_{2}=a_{4} -a_{3} ..........................a_{n}-a_{n-1}

Now, Formula of General Term is a_{n}=a+(n-1)d

So,                                                    a_{11}= a+(11-1)d\\        a_{11} = a+10d

 Substituting the value of   a_{11} = 50,\  \  d=7 we get,

                                                         50=a+10\times7\\50=a+70\\a=-20

Then General term (a_{n}) of given data is

                                                         a_{n}=-20+(n-1)7\\a_{n}=-20+7n-7\\a_{n}=7n-27

Therefore, Required rule for n^{th} is a_{n}=7n-27.

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