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adelina 88 [10]
2 years ago
7

What is the greatest common factor (GCF) of 28 and 36

Mathematics
1 answer:
uysha [10]2 years ago
8 0

Step-by-step explanation:

4 the greatest common factor is four

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Y represent the total number of newspapers sold by Colby.
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Sara said, "If you divide my age by 3 and then add 8 years, the result is my age."
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Sara is 12

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12÷3=4 4+8=12

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An image point has coordinates B'(7, -4). Find the coordinates of its pre-image if the translation used was (x + 4, y + 5).
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B

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B'(7, -4)

Let the pre-image coordinates be (x,y)

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"Find y". I got this wrong and want to understand why and how to do the problem. Can someone please help?
podryga [215]

Answer:

y=\frac{15\sqrt{3} }{4}

Step-by-step explanation:

Well what you have here are two right triangles within another right triangles created by an altitude. This results in 3 similar triangles (see attached for reference)

As a result , using the properties of similar triangles, and taking ratios of their sides of the medium triangle and the largest triangle, we can form the following relationship:

\frac{b}{z}=\frac{y}{x} = \frac{z}{a+b}  (we know that a+b = 15), hence the equation becomes:

\frac{b}{z}=\frac{y}{x} = \frac{z}{15}  ----------eq 1

If we consider the largest triangle, we will see that

cos 30° = z / 15

but from our special angles (see second attachment) we know that cos 30° = (√3)/2

hence

(√3)/2 = z / 15

z = (15√3) / 2 --------eq 2

from the same largest triangle, we will also see that

sin 30° = x / 15

similarly from our special angles, we know that sin 30° = 1/2

hence,

1/2 = x/15

x = 15/2 --------eq 3

now that we have values for x and z, we can neglect the first term of equation 1 and form an equality with x, y and z

\frac{y}{x} = \frac{z}{15}

y = x\frac{z}{15}  (substituting the values for x and z that we found above)

y = (15/2) · [ (15√3) / 2] / 15

y = (15√3) / 4

y=\frac{15\sqrt{3} }{4}

8 0
3 years ago
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