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Nonamiya [84]
3 years ago
5

A 6 ft. Observer cast a 4 ft. Shadow. At the same time the chimney on the Ohio Power Co. Cast an 804 ft. Shadow. How tall is the

chimney?
Mathematics
1 answer:
skad [1K]3 years ago
6 0

Answer:

1,206 ft

Step-by-step explanation:

6/4 = 1.5   ( proportion 1.5)

804(1.5) = 1,206

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Identify the following sequences as arithmetic, geometric, or neither. For the arithmetic and geometric sequences, identify the
Lapatulllka [165]

Hence,

a. 12, 144, 1728,..  => Geometric

b. 0,5, 10, 15, 20, 25,...  => Arithmetic

c. 0,4, 16, 36, 64,...  => Neither arithmetic nor geometric

d. 1.5, 2.25, 3.375, 5.0625,... => Geometric

Step-by-step explanation:

In order to identify the sequence as geometric or arithmetic sequence, we find the common difference and common ratio of the sequence. If the common difference is same, it is an arithmetic sequence and if the common ratio is same the sequence is a geometric sequence

Common difference is the difference between consecutive terms of an arithmetic sequence and common ration is the ratio between two consecutive terms of a sequence

So,

<u>a. 12, 144, 1728,..</u>

Here,

a_1=12\\a_2=144\\a_2=1728

Common difference:

d=a_2-a_1 = 144-12 = 132\\=a_3-a_2 = 1728-144=1584

Common Ratio:

r=\frac{a_2}{a_1} =\frac{144}{12} = 12\\=\frac{a_3}{a_2}=\frac{1728}{144} =12

As the common ratio is same, the given sequence is a geometric sequence.

<u></u>

<u>b. 0,5, 10, 15, 20, 25,...</u>

Here,

a_1 = 0\\a_2 =5\\a_3 =10

Common difference:

d=a_2-a_1 = 5-0 = 5\\d=a_3-a_2 = 10-5 = 5

As the common difference is same, the given sequence is an arithmetic sequence

<u></u>

<u>c. 0,4, 16, 36, 64,...</u>

Here

a_1 = 0\\a_2 =4\\a_3 = 16\\a_4 = 36

Common Difference:

d= a_2-a_1 = 4-0 = 4\\a_3-a_2 = 16-4 = 12

<u></u>

Common Ratio:

r=\frac{a_2}{a_1} = \frac{4}{0} = Doesn't\ exist

Neither the common ratio nor common difference are same, so the given sequence is neither arithmetic nor geometric

<u>d. 1.5, 2.25, 3.375, 5.0625,...</u>

Here

a_1 = 1.5\\a_2 = 2.25\\a_3 = 3.375

<u></u>

Common Difference:

d=a_2-a_1 = 2.25-1.5 = 0.75\\a_3-a_2 =3.375-2.25 = 1.125[/tex]Common Ratio: [tex]r=\frac{a_2}{a_1} = \frac{2.25}{1.5}=1.5\\=\frac{a_3}{a_2} =\frac{3.375}{2.25}=1.5

As the common ratio is same, given sequence is geometric

Hence,

a. 12, 144, 1728,..  => Geometric

b. 0,5, 10, 15, 20, 25,...  => Arithmetic

c. 0,4, 16, 36, 64,...  => Neither arithmetic nor geometric

d. 1.5, 2.25, 3.375, 5.0625,... => Geometric

<u>Keywords: Sequence, Ratio</u>

<u>Learn more about sequences at:</u>

  • brainly.com/question/3783529
  • brainly.com/question/3799248

#LearnwithBrainly

4 0
3 years ago
Help pls thank you so much pls help pls
ira [324]

Answer:

A, C, F, G

Step-by-step explanation:

There all factors for the following and cuz  its ez asff

3 0
3 years ago
4/5 DIVIDED BY 16/15
Doss [256]

Answer: 3 /4

Step-by-step explanation:

Exact Form:  3 /4

Decimal Form:

0.75

6 0
3 years ago
You can only divide a numerator and denominator one time when finding the simplest form.
morpeh [17]
False. Its as many times until you can no longer divide
8 0
3 years ago
Read 2 more answers
What is the approximation for the area of this circle? Use 3.14 to approximate pi. 12.6m 25.1m 50.2m 158.0m
Semenov [28]

Answer:

You times pi by the diameter

first set of answers are

1. 5.1

2 56.5

3 25.1

4 34.5

5 9.4

You times pi by r^2

second set of answers are

1 28.3

2 254.3

3 78.5

4 50.2

5 30.2

8 0
3 years ago
Read 2 more answers
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