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20emmanuelg1030
30.06.2019 •
Mathematics
Acontainer in the shape of a cone has a height of 13 centimeters and a diameter of 8 centimeters. find the volume of the container to the nearest tenth of a centimeter. use 3.14 for pi
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Ответ:
if its diameter is 8 cm, then its radius is half that, or 4 cm.
Ответ:
c. Reflection across the x-axis, followed by translation 10 units right
Explanation:
1) The vertices of figure 1 are: (-3, 4); (-4, 7); (-5, 2); (-6, 5)
2) The vertices of figure 2 are: (7, - 4); (6, -7); (5, -2); (4, -5)
3) Since, many sets of two transformations can transform the figure 1 into the figure 2, you need to probe each pair of the choice statements.
4) This proves that the statements of the option C. yield the figure 2:
1) Reflection across the x-axis.
A reflection across the x-axis, keeps the x-coordinate, and change the y-coordinate to its opposite (negative). This is: (x, y) → (x - y).
Use that rule on the 4 vertices of the figure 1 and you get:
(-3, 4) → (-3, -4);
(-4, 7) → (-4, -7);
(-5, 2) → (-5, -2);
(-6, 5) → (-6, -5)
2) Translation 10 units right
A translation of 10 units transforms the points (x,y) into (x + 10, y): (x,y) → (x + 10), y)
Apply that rule:
(-3, -4) → (-3 + 10, -4) = (7, -4)
(-4, -7) → (-4 + 10, 7) = (6, -7)
(-5, -2) → (-5 + 10, -2) = (5, -2)
(-6, -5) → (-6 + 10, -5) = (4, - 5)
Then, it has been proven that the two transformations given in the option C. transforms figure 1 onto figure 2.