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valkas [14]
3 years ago
6

The students in Suzanne's school are painting a rectangular mural outside the building that will be 15 feet by 45 feet. Scale dr

awing of the mural is shown. The diagonal is approximately 6.3 units.Write the unit rate for the proportional relationship between lengths on the mural y and lengths in the scale drawing x.
Mathematics
1 answer:
Katarina [22]3 years ago
3 0

Answer:

The dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53

Step-by-step explanation:

The first step will be to find the diagonal of the rea life mural.

We can use Pythagoras' Theorem to do this.

Diagonal = \sqrt{15^2 +45^2 } =47.43 feet.

Now we have the real-life diagonal, we will now relate the diagonal of the painting outside with the one on paper. We can do this by dividing the two diagonals.

This will be 47.43 / 6.3 units = 7.53.

The scale factor is 7.53

To get the dimensions of the length and the breadth on paper, we divide the outside dimensions by the scale factor.

This will be

Length = 15/ 7.53 = 1.992

Breadth = 45/7.53 = 5.976

Therefore, the dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53

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Natasha2012 [34]

The minimum distance  between the point(-3,2) and the line y = -x + 1  is \sqrt{2} units.

<h3>What is a line segment?</h3>

The line that joins  two points on a cartesian plane is a line segment.

Analysis:

The formula for calculating distance between a line and a point is

d = \frac{Ax1 + By1 + c}{\sqrt{A^{2} + B^{2}  } }

where A = coefficient of x term of the line, B = coefficient of y in the line and C is the constant term of the line.

x1 and y1 are coordinates of the point.

for the line y = -x + 1 which is  = y + x -1 = 0, A = 1, B = 1, C = -1, x1 = -3, y = 2
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In conclusion, the distance between the point and the line is  \sqrt{2} units

Learn more about distance between line segments: brainly.com/question/2437195

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4 0
2 years ago
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Answer:

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Step-by-step explanation:

The fraction 4/5 has the decimal value 0.8. The mixed number 25 4/5 is equivalent to the decimal number 25.8.

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_____

It is useful to memorize the decimal equivalents of fractions with denominators of 10 or less. It is also helpful to note that denominators of 2 and 5 and their multiples can be translated directly to fractions with denominators of 10 or other powers of 10:

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Step-by-step explanation:

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