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Anestetic [448]
3 years ago
11

21,42,126,504 If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose "not geometric.

Mathematics
1 answer:
Arisa [49]3 years ago
4 0

Answer:

Not geometric

Step-by-step explanation:

In a geometric sequence, each term is multiplied by a common ratio to get the next term.

So if this is a geometric sequence, then dividing each term by the one before it should result in the same common ratio.

42 / 21 = 2

126 / 42 = 3

504 / 126 = 4

The ratios are different.  This is not a geometric sequence.

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3 years ago
An architect designs a castle tower for a new attraction at a popular amusement park. Blueprints of the tower, which is in the s
marin [14]

Answer:

<u>The surface area of the tower is 5,218.1 m²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the blueprint = 47 cm

Length of the blueprint = 23 cm

Width of the blueprint = 25 cm

Scale factor 1 : 96

2. Calculate the actual surface area of the tower and enter your answer in square meters with two decimal places.

Let's calculate the measurements of the actual tower:

Height of the blueprint = 47 * 96 = 4,512 cm = 45.12 m

Length of the blueprint = 23 * 96 = 2,208 cm = 22.08 m

Width of the blueprint = 25 * 96 = 2,400 cm = 24 m

Now, let's calculate the surface area of the tower, this way:

Surface area of the tower = 2* (24 * 22.08) + 2 * (45.12 * 22.08) + 2 * (45.12 * 24)

Surface area of the tower = 1,059.84 + 1,992.5 + 2,165.76

<u>Surface area of the tower = 5,218.1 m²</u>

4 0
3 years ago
Find the length of the third side. If necessary, write in simplest radical form.
Angelina_Jolie [31]

Answer:

the length of the missing side is 2

Step-by-step explanation:

Use a^2 + b^2 = c^2

a = 4

b = ?

c = 2sqrt5

4^2 + b^2 = (2sqrt5)^2

16 + b^2 = 20

subtract 16 from both sides

b^2 = 4

take the sqrt of both sides

b = 2

3 0
2 years ago
Read 2 more answers
Which decimal number is equal to 1/8 ?
goblinko [34]

Convert 1/8" to decimal: numerator is top number - numerator is 1. denominator is bottom number - denominator is 8. divide the top number with the bottom number - 1/8 = 0.125.

4 0
3 years ago
The company is building a scale model of the theater's main show tank for an investor's presentation. Each dimension will be mad
Ede4ka [16]

Answer:

This means the mock-up tank has a volume 216 times smaller than the initial tank.

Step-by-step explanation:

The ratio between volume is given by

\frac{V_2}{V_1}=\frac{(1/6)L^{3} }{L^{3}}  =\frac{1}{216}

This means the mock-up tank has a volume 216 times smaller than the initial tank.

5 0
3 years ago
Read 2 more answers
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