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VMariaS [17]
3 years ago
11

MONA LISA A visitor to the Louvre Museum in Paris wants to sketch a drawing of the Mona Lisa, a famous painting. The original pa

inting is 77 centimeters by 53 centimeters. Choose an appropriate scale for the replica so that it will fit on a 8.5-by-11-inch sheet of paper.
Mathematics
1 answer:
nydimaria [60]3 years ago
7 0
You need to find a scale factor of dilation (probably contraction) to make the replica.

Given that the units of the original painting are centimeters and the units of the sheet of paper are in inches, you have to convert one of the units.

I choose to covert inches to centimeters.

To do that, use the conversion factor 1 = 2.54 cm / inch

=> 8.5 in * [2.54 cm/in] = 21.59 cm

=> 11 in * [2.54 cm/in] = 27.94 cm

Now determine the scale factor to convert 77 cm to 27.94 cm and 53 cm to 21.59 cm. That just require use of division operation:

77 / 27.94 = 2.76

53 / 21.59 = 2.45

Then the higher scale factor is the relevant one, and you have to reduce the original painting by a factor of (1 / 2.76) which will lead to fit in the sheet of paper.

  
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What is the area of the actual square window shown in the scale drawing?
larisa86 [58]

The area of the actual square window = 2.25 m².

<h3>Scale Drawing</h3>

Scale drawing relates the actual length of an object to its length on a paper.

Given a scale of 1 in = 2 m, it means 1 in on paper is about 2 m of the actual length of the object.

Thus:

  • Length on scale drawing = 0.75 in
  • Actual length = x

Therefore:

1/2 = 0.75/x

  • Cross multiply

x = 1.5 m

Area of the actual square window = 1.5² = 2.25 m².

Learn more about scale drawing on:

brainly.com/question/25324744

5 0
2 years ago
An EPA contractor needs to test the concentration of a substance in ten samples of the ground water. Seventy samples were
olga55 [171]

Answer:

Systematic sampling

Step-by-step explanation:

An EPA contractor needing to test the concentration of a substance in ten samples out seventy samples provided form a single source at regular time intervals.

For the contractor to effectively carry out the testing he has to employ a Non-probability system of sampling which is called Systematic sampling, because in systematic sampling we can assume the population size (x ) which in this case is 70 and the sample size( n ) to be 10

He will have to select ;  ( x / n )^th of the sampling frame for best results

7 0
3 years ago
According to a Gallup survey conducted in July 2011, 20% of Americans favor reducing the U.S. budget deficit by using spending c
Yakvenalex [24]

Answer:

Option C is correct.

The test statistic for this question is -3.13

Step-by-step explanation:

To compute the z-test statistic, the formula is given as

z = (x - μ₀)/σₓ

x = p = sample proportion of the 500 college students sampled, that favor reducing the deficit using only spending cuts with no tax increase = (75/500) = 0.15

μ₀ = p₀ = the proportion to be compared against, that is, the proportion of Americans that favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases = 20% = 0.20

σₓ = standard error of the sample proportion = √[p(1-p)/n]

p = 0.15

n = Sample size = 500

σₓ = √[0.15×0.85/500] = 0.01597

z = (0.15 - 0.20) ÷ 0.01597

z = -3.13

Hope this Helps!!!

8 0
3 years ago
Which of the following in not a method used to determine latitude?
Vesnalui [34]
The correct answer is quadrant. 

Quadrant is a method used to determine latitude. Chronometer is used to measure time. Astrolabe is used by navigators and astrologers. Cross-staff or Jacob's staff is used to measure angles. So the correct answer would be quadrant. I hope this helped you.
6 0
3 years ago
∆ABC m∠B = 90° AB = 4 BC = 3<br> Find AC
lutik1710 [3]

Step-by-step explanation:

In ∆ABC, m∠B = 90°

Therefore ∆ABC is a right angled triangle with sides AB = 4 & BC = 3. AC is the hypotenuse.

Hence, by Pythagoras theorem:

AC^2 = AB^2 +BC^2  \\  \\  \therefore \: AC =  \sqrt{AB^2 +BC^2 }  \\  =  \sqrt{ {4}^{2} +  {3}^{2}  }  \\  =  \sqrt{16 + 9}  \\  =  \sqrt{25}  \\  = 5 \\  \\ \huge \red{ \boxed{ \therefore \: AC = 5 \: units}}

8 0
3 years ago
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