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Ronch [10]
3 years ago
15

Polygon Y is a scaled copy of Polygon X using a scale factor of \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction. P

olygon Y's area is what fraction of Polygon XXX's area?
Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0

Answer:

Polygon Y's area is one ninth (1/9) of Polygon X's area

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem

Let

z-----> the scale factor

a-----> Polygon Y's area

b----> Polygon X's area

z^{2}=\frac{a}{b}

we have

z=\frac{1}{3}

substitute

(\frac{1}{3})^{2}=\frac{a}{b}

\frac{1}{9}=\frac{a}{b}

a=\frac{1}{9}b

therefore

Polygon Y's area is one ninth (1/9) of Polygon X's area

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xxMikexx [17]
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2) credit card 1
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277.09×12
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3,325.08−3,000
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152.69×12×2
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Hope it helps!
6 0
3 years ago
Read 2 more answers
What is the closest to 1 ??? I need explanation please
abruzzese [7]
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6 0
4 years ago
Of the people who prefer mocha, the relative frequency of them preferring it cold is
WITCHER [35]

Answer

1) Relative frequency of prefering cold mocha amongst mocha drinkers = 0.32

2) Relative frequency of prefering a latte amongst hot coffee drinkers = 0.22

3) Type of coffee that has the highest percentage of people who prefer it cold = Regular

Explanation

1) Relative frequency of prefering cold mocha amongst mocha drinkers is given as

Relative frequency

= (Number of mocha drinkers who prefer it cold) ÷ (Total number of mocha drinkers)

Number of mocha drinkers who prefer it cold = 12

Total number of mocha drinkers = 12 + 25 = 37

Relative frequency = 12 ÷ 37 = 0.32

2) Relative frequency of prefering a latte amongst hot coffee drinkers is given as

Relative frequency

= (Number of latte drinkers who prefer it hot) ÷ (Total number of hot coffee drinkers)

Number of latte drinkers who prefer it hot = 19

Total number of hot coffee drinkers = 11 + 25 + 19 + 30 = 85

Relative frequency = (19/85) = 0.22

3) Percentage of people who prefer cold coffee for each coffee type

Regular

(17/28) = 60.7%

Mocha

(12/37) = 32.4%

Latte

(20/39) = 51.3%

Cappuccino

(27/57) = 47.4%

Regular coffee drinkers have the highest percentage of drinkers who prefer it cold.

Hope this Helps!!!

7 0
1 year ago
I NEED HELP WITH QUESTIONS 10 - 12
svp [43]

Step-by-step explanation:

10. [-19-(-20) - (-34)] ÷ (-6)

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8 0
3 years ago
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