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erastovalidia [21]
3 years ago
9

triangle abc is graphed on a coordinate plane, as shown below. Triangle ABC is dilated by a scale factor of 2 with a center of d

ilation at the origin to create triangle A' B' C'. What are the coordinates of the verticles of triangle A'B'C'?

Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0
C is the correct answer i just took that
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If u had 693 cats and 593 died
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Ezra is filling bottles of water to hand out during a race. Each bottle of water holds 16 ounces and he has 4,005 ounces of filt
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So just by the question, we are aware that when we divide 4,005 ounces by 16, it is not going to be a pretty number - there are going to be some left over in the form of a fraction.

First we must find out how many of these bottles can be completely filled until there is only the small fraction left that is not able to fill up a bottle. So let's divide:

\frac{4,005}{16}=250.3125

And now we know that 250 bottles will be filled completely. To find the amount of ounces left over, let's see how many ounces 250 bottles is:

250*16=4,000

There are 4,000 ounces in 250 bottles. So we need to subtract our initial amount from this known amount:

4,005-4,000=5

So there are only 5 ounces of water remaining after 250 bottles are completely filled. To put this into a fraction of the original amount, we just divide by the initial amount (4,005):

\frac{5}{4,005} =\frac{1}{801}

If the question is asking for the remainder in terms of a bottle, we just divide these 5 ounces by the 16 ounces it would take to fill this bottle:

\frac{5}{16}

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To make cherry turnovers, a cook cuts the dough into triangles with a base of 6 inches and a height of 3 inches. How many turnov
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Answer:

<u>24 turnovers</u> can be cut from the rectangular piece of dough.

Step-by-step explanation:

Given:

A rectangular piece of dough is 12 inches wide and 18 inches long.

To make cherry turnovers, a cook cuts the dough into triangles with a base of 6 inches and a height of 3 inches.

Now, to find the number of turnovers can be cut from the dough.

So, we find the area of the triangle the cook cuts from the dough by putting formula:

<em>Base (b) = 6 inches.</em>

<em>Height (h) = 3 inches.</em>

Area=\frac{hb}{2} \\\\Area=\frac{h\times b}{2} \\\\Area=\frac{3\times 6}{2} \\\\Area=\frac{18}{2} \\\\Area=9\ inches^2.

<u><em>Thus, the area of the triangle cut from the dough is 9 inches².</em></u>

Now, to get the area of rectangular piece of dough by putting formula:

<em>Length = 18 inches.</em>

<em>Width = 12 inches.</em>

Area=length\times width\\\\Area=18\times 12\\\\Area=216\ inches^2.

<u><em>Hence, the area of the rectangular dough is 216 inches².</em></u>

Now, to get the number of turnovers can be cut from the rectangular piece of dough we divide the area of the rectangular dough by the area of the triangle cut from the dough:

\frac{216}{9} \\\\=24\ turnovers.

Therefore, 24 turnovers can be cut from the rectangular piece of dough.

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4 years ago
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