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ivann1987 [24]
3 years ago
15

Please help. Thank you all

Mathematics
1 answer:
Marina86 [1]3 years ago
4 0
<h3>Answer:  14 square inches</h3>

Explanation:

There are 4 lateral faces for each of the three blocks. So that is 4*3 = 12 faces so far. Then there is the top and bottom face of the top and bottom block respectively. This brings the total up to 12+2 = 14 external faces.

Alternatively, we can note how 1 cube has 6 faces. So 3 cubes have 3*6 = 18 faces. However, 4 faces are hidden or they are not external faces when we combine the blocks as the diagram shows. So we have 18-4 = 14 external faces.

No matter which method you use, there are 14 external faces. Each face is 1*1 = 1 square inch, so the total surface area is 14*1 = 14 square inches.

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Mnenie [13.5K]
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3 0
4 years ago
The common ratio of a geometric series is 1/4 and the sum of the first 4 terms is 170.
Illusion [34]

Answer: the first term of the series is 128

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = a(1 - r^n)/(1 - r)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

r = 1/4 = 0.25

n = 4

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Therefore, the expression for the sum of the 4 terms, S4 is

170 = a(1 - 0.25^4)/(1 - 0.25)

170 = a(1 - 0.00390625)/(1 - 0.25)

170 = a(0.99609375)/(0.75)

170 = 1.328125a

a = 170/1.328125

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5 0
3 years ago
(140-x)/(7)+70 = 120. Please answer correctly.
slava [35]
From question,
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Answer:

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Step-by-step explanation:

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