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Vaselesa [24]
3 years ago
10

Determine whether each scale factor produces an expansion or a contraction under a dilation of the original image

Mathematics
1 answer:
blondinia [14]3 years ago
4 0

Answer:

see the explanation

Step-by-step explanation:

we know that

If the absolute value of the scale factor is less than 1, then the dilation produces a contraction of the original image

If the absolute value of the scale factor is greater than 1, then the dilation produces an expansion of the original image

so

<u><em>Verify each value</em></u>

1) -4

\left|-4\right|=4

4> 1

therefore

The dilation produces an expansion of the original image

2) 0.25

\left|0.25\right|=0.25

0.25 < 1

therefore

The dilation produces a contraction of the original image

3) -2/3

\left|-2/3\right|=2/3

2/3 < 1

therefore

The dilation produces a contraction of the original image

4) 2.3

\left|2.3\right|=2.3

2.3 > 1

therefore

The dilation produces an expansion of the original image

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Harrizon [31]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
PLEASE ANSWER FAAST!! A car wheel has a diameter of 20.8 inches. About how far does the car travel in 5 rotations?
SCORPION-xisa [38]

Answer:

65.312 inches

326.56 inches

1959.36 inches

Step-by-step explanation:

Given

d = 20.8 inches

To find

Travel in 1, 5, 30 rotations

Solution

Circumference of the wheel is equal to one full rotation

C = πd = 3.14*20.8 = 65.312 inches

5C = 5*65.312 = 326.56 inches

30C = 30*65.312 = 1959.36 inches

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What radius of a circle is required to inscribe a regular hexagon with an area of 210.44 cm2 and an apothem of 7.794 cm
alekssr [168]
We know that

[area of a regular hexagon]=6*[area of one <span>equilateral triangle]
</span>210.44=6*[area of one equilateral triangle]
[area of one equilateral triangle]=210.44/6-----> 35.07 cm²

[area of one equilateral triangle]=b*h/2
h=7.794 cm
b=2*area/h------> b=2*35.07/7.794------>b= 9 cm

the length side of a regular hexagon is 9 cm
<span>applying the Pythagorean theorem
</span>r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm

<span>this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
</span>
the answer is
the radius is 9 cm
8 0
3 years ago
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elena-s [515]
The equation that works for this is
y=1/7x + 0! It is parallel and goes through (0,0)
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8 0
2 years ago
Is 0.45 equal to 4/10
Gnesinka [82]
No, \frac{4}{10} equals to 0.4

So 0.4 equals to \frac{4}{10}
8 0
3 years ago
Read 2 more answers
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