A round cake pan that is 2 inches deep and has a 7 inch diameter a 6 inch x9 inch rectangular cake pan that is 2 inches deep a. which of these pans has the larger volume justify your answerb. excluding the bottom of the cake what is the surface area of each cake that will be covered by frosting justify your answer

Answers

Answer 1

Answer: a) Pan 2 has a larger volume because:

Pan 1:

Circle area = pi x r^2
7/2 = 3.5
3.5 x 3.5 = 12.25inch^2
12.25 x pi = 38.48451
38.48451 x 2 = 76.96902inch^3 (76.97inch^3 to 2dp)

Pan 2:

6 x 9 = 54inch^2
54 x 2 = 108inch^3

b)

Pan 1:

Surface area covered = 60.48inch^2 (2dp) because:

Circle area = pi x r^2
7/2 = 3.5
3.5 x 3.5 = 12.25inch^2
12.25 x pi = 38.48451inch^2

Circumference = pi x diameter
pi x 7 = 21.9911486
21.9911486inch^2

21.9911486 + 38.48451 = 60.4756586inch^2

Pan 2:

Surface area covered = 114inch^2 because:

Bottom:
6 x 9 = 54inch^2

2 longer sides:
2 x 9 = 18
18 x 2 = 36inch^2

2 shorter sides:
2 x 6 = 12
12 x 2 = 24inch^2

Total = 54 + 36 + 24 = 114inch^2

(Hope this helps.)

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Is the missing side length leg or the hypotenuse

Answers

Answer:

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Step-by-step explanation:

What is the slope of the line that passes through the points (7, -4) and (7, 0)? A. Undefined (vertical line) B. 0 (horizontal line) C. 1 D. Infinity

Answers

Answer: A (Vertical Lines)

Step-by-step explanation:

Final answer:

The slope of a line passing through points (7,-4) and (7,0) is undefined. This is because a line with the same x-coordinate for two different y-coordinates implies a vertical line, which has an undefined slope. Therefore, the correct answer is A. Undefined (vertical line).

Explanation:

The slope of a line passing through two points (x1,y1) and (x2,y2) is defined by the formula slope = (y2 - y1) / (x2 - x1). Given the two points are (7,-4) and (7,0), we use the formula and get slope = (0 - (-4)) / (7 - 7). This results in 0/0 which is undefined mathematically. Furthermore, when a line has the same x-coordinate for two different y-coordinates, it implies the line is vertical. Thus, we can decide that the line passing through those points is indeed a vertical line, and the slope is undefined; as vertical lines have undefined slopes.