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Mashcka [7]
3 years ago
11

2. You have a painting that is 30 in. wide and 22.5 in. tall. You would like to reproduce it on a sheet of paper that measures 8

1/2 in. by 11 in., leaving at least a 1­in. margin on all four sides. a) What scale should you use if you keep the sheet of paper in the normal upright orientation? Assume that the reproduction will be as large as possible. b) What scale should you use if you turn the paper on its side?
Mathematics
2 answers:
nataly862011 [7]3 years ago
7 0

Answer:

a) The scale factor is 5

b) The scale factor is 4

Step-by-step explanation:

a)  Measurement of the sheet is 8 1/2 in. by 11 in.

If we leave 1 in. margin on all 4 sides, then the picture will fit in the area of

6 1/2 in. by 9 in.

The original measurement of the painting is 30 in. by 22.5 in.

So, choosing a scale of 5 will be good because choosing scale 4 will exceed the width of the paper.


b) If we turn the paper on its side, then the width and height will be 9 in. by 6 1/2 in.

For this measurement, choosing a scale 4 would be fine because choosing scale 3 will exceed the width of the paper.

timurjin [86]3 years ago
6 0
A. So, what I did was divided 30/8.5 and 22.5/11, and used the smaller of the two answers because that way they'd both fit, so I got 2.045. (I'm not 100% sure, but that's what i'd do)
b. Do something similar, and divide both sides, this time 30/11 and 22.5/8.5, so 2.647.

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8358.7

Step-by-step explanation:

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3 0
2 years ago
5• (4 • x ) simplified
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= 5 • ( 4• x )

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8 0
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State 5.126 to two decimal places​
Kryger [21]

Answer:

5.13

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7 0
3 years ago
Write the expanded form of the decimal 0.082¯ using powers of 10
Softa [21]

Answer:

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Step-by-step explanation:

Given the decimal number 0.082, the expanded form using the power of 10 can be gotten by writing the decimal number in standard format(writing as a multiple of 10).

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3 0
3 years ago
What is the minimum number of bits required to store each binary string of length 50? (b) what is the minimum number of bits req
antiseptic1488 [7]
In order to answer the above question, you should know the general rule to solve these questions.
The general rule states that there are 2ⁿ subsets of a set with n number of elements and we can use the logarithmic function to get the required number of bits.
That is: 
log₂(2ⁿ) = n number of <span>bits
</span>
a). <span>What is the minimum number of bits required to store each binary string of length 50?
</span>
Answer: In this situation, we have n = 50. Therefore,  2⁵⁰ binary strings of length 50 are there and so it would require:

                                                     log₂(2⁵⁰) <span>= 50 bits.

b). </span><span>what is the minimum number of bits required to store each number with 9 base of ten digits?
</span>
Answer: In this situation, we have n = 50. Therefore, 10⁹ numbers with 9 base ten digits are there and so it would require:

                                                     log2(109)= 29.89 
<span>                                                                     = 30 bits. (rounded to the nearest                                                                                                                        whole #)

c).  </span><span>what is the minimum number of bits required to store each length 10 fixed-density binary string with 4 ones?
</span>
Answer: There is (10,4) length 10 fixed density binary strings with 4 ones and
so it would require:
                                                     log₂(10,4)=log₂(210) = 7.7
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4 0
3 years ago
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