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3 years ago

What are the coordinates of the vertices of the triangle under the translation (x, y) --> (x + 3, y + 2)?

Mathematics

2 answers:

Afina-wow [57]3 years ago

7 0

The coordinates of the vertices of the triangle :
(-1,1), (-4,1). (-4, 4)

the translation (x, y) --> (x + 3, y + 2), the new coordinates of the vertices of the triangle will be:
(2, 3), (-1, 3), (-1, 6)

Answer:
D. (2, 3), (-1, 3), (-1, 6)

babymother [125]3 years ago

5 0

The coordinates of the vertices of the triangle :

(-1,1), (-4,1). (-4, 4)

the translation (x, y) --> (x + 3, y + 2), the new coordinates of the vertices of the triangle will be:

(2, 3), (-1, 3), (-1, 6)

Answer:

D. (2, 3), (-1, 3), (-1, 6)

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A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh

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Answer:

The portion of the volume of the cup that is filled with water is $\frac{1}{8}$

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

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$h=12\ cm$

substitute

$V=\frac{1}{3}\pi (6)^{2}(12)$

$V=144\pi\ cm^{3}$

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

$V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}$

therefore

The portion of the volume of the cup that is filled with water is

$\frac{1}{8}$

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