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dybincka [34]
2 years ago
11

Which of the following is a geometric sequence with a common ratio of 2?

Mathematics
1 answer:
Anarel [89]2 years ago
6 0

Answer:

A

Step-by-step explanation:

Geometric sequences involve multiplication and the ratio of 2 means each number is multiplied by 2 to get the next number.

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If the circumference of a circle is 120 inches and M angle B equals 18° then what is the length of arc AC
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Answer:

For a circle of radius R, the circumference is:

C = 2*pi*R

where pi = 3.14

And if we have an arc defined by an angle θ, the length of the arc is:

A = (θ/360°)*2*pi*R

Here we can not see the image, then i assume that B is the angle that defines the arc AC.

Now we know that the circumference is 120 in, then:

2*pi*R = 120in

Then the length of the arc is:

A = (θ/360°)*120 in

Then if the angle is 18°, we have:

A = (18°/360)*120 in = 6in

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3 years ago
What is the product of 3²/³ and 14 ²/5?
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52 4/5 is the mixed number form and the exact form is 264/5


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lora16 [44]

Answer:

<u>Given</u>: base = 10.4ft, height = 12.5

Area of octagon = 8(1/2 × b × h)

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  • 1560ft³

Now, 1 cubic ft takes 7.5 gallons to fill.

Therefore, 1560 cubic ft takes,

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3 years ago
Use summation notation to write the series 49 + 54 + 59 +... for 14 terms.
My name is Ann [436]

Answer:

Arithmetic sequence states that a sequence of numbers such that the difference between the consecutive terms is constant.

it is given by:  a_n = a+(n-1)d where a is the first term , n is the number of term and d is the common difference.

Given the series: 49 + 54 + 59+ ......

here, Common difference(d) = 5

First term(a) = 49

by definition we have;

For nth term

a_n = a+(n-1)d

a_n = 49+(n-1)5

a_n =49+5n -5 = 5n + 44

To write the series using summation notation for 14 terms

Summation symbol '\sum'

The series for 14th terms is given by;

\sum_{n=1}^{14}(5n +44)


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3 years ago
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