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Musya8 [376]
3 years ago
11

find the circumference of a circular swimming pool with a diameter of 18 feet use 3.4 as an approximation round your answer to t

he nearest foot
Mathematics
1 answer:
gregori [183]3 years ago
5 0

Answer:

57 feet

Step-by-step explanation:

A circular swimming pool has the shape of a circle

Therefore, find the circumference of a circle

Circumference of a circle = 2πr

Where,

Radius, r = diameter / 2

= 18 feet / 2

= 9 feet

π = 3.14

Circumference of a circle = 2πr

= 2 × 3.14 × 9 feet

= 56.52 feet

Approximately,

57 feet

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For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of
Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is (-1)^{k+1}(\frac{1}{2^{k}}).

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as (-1)^{k+1}(\frac{1}{2^{k}}).

where k is from 1 to 10.

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r = -\frac{1}{2}

Since the sequence is infinite and the formula to calculate the sum is represented by

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S=\frac{\frac{1}{2} }{1+\frac{1}{2}}

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S = \frac{1}{3}

Now we are sure that the sum of infinite terms is \frac{1}{3}.

Therefore, sum of 10 terms will not exceed \frac{1}{3}

Now sum of first two terms = \frac{1}{2}-\frac{1}{4}=\frac{1}{4}

Now we are sure that sum of first 10 terms lie between \frac{1}{4} and \frac{1}{3}

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Option D will be the answer.

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3 years ago
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abruzzese [7]

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The functions r and s are defined as follows.
irina1246 [14]

Answer:

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First we find the composition of r and s functions. It is:

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r(s(-2)) = -2

8 0
3 years ago
which function has only one x-intercept at (−6, 0)? f(x) = x(x − 6) f(x) = (x − 6)(x − 6) f(x) = (x 6)(x − 6) f(x) = (x 6)(x 6)
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3 0
3 years ago
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