What is the circumference of a can?

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change)  and "rise" (vertical change) between the marked points.

In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.

The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.

If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)

The error the student made is referring to an angle, m<1, being equal to 80 degrees. It is incorrect to assign a measurement or value to an angle without any given information or reference point.

The mean of the given data will be equal to 52.

What is mean?

Mean is defined as the ratio of the sum of the given data to the number of the counts of the data.

Given that:-

42, 45, 58, 63

The mean will be calculated as:-

Mean  =  Sum of the data sets  ÷   Number of the data sets

Mean  = ( 42 + 45 + 58 + 63 )   ÷   4

Mean  =  208  ÷  4

Mean  =  52

Therefore the mean of the given data will be equal to 52.

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Answer:

(1, 1)

Step-by-step explanation:

Since, the equation of the line with slope m and passes through is,

Here,

Thus, the equation of the line,

y + 1 = 2(x-0)

⇒ y + 1 = 2x

If a point lies on the line then it must satisfy the equation of the line,

For (2, 1)

1 + 1 ≠ 2(2)

For (1, 1)

1 + 1 = 2(1)

For (0, 1)

1 + 1 ≠ 2(0)

Thus, the point (1, 1) lies on the line.

Answer:

The answer is 45 degrees.

Step-by-step explanation:

The minimum degree of rotation by which this octagon can map onto itself is 45 degrees.

A full rotation is 360°. One eighth of a rotation is degrees, and each one eighth of a rotation will map a regular octagon onto itself.