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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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The table of values represents an exponential function f(x).
Ostrovityanka [42]

Answer:

-3.98 (nearest hundredth)

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

\dfrac{f(b)-f(a)}{b-a}

Given interval:  -2 ≤ x ≤ 2

\implies a = -2

\implies b = 2

\implies f(a) = f(-2)=16

\implies f(b) =f(2)= \dfrac{1}{16}

Substituting the values into the equation:

\begin{aligned}\implies \textsf{rate of change} & =\dfrac{\frac{1}{16}-16}{2-(-2)}\\\\ & = \dfrac{-\frac{255}{16}}{4}\\\\ & = -\dfrac{255}{64}\\\\ & = -3.98\: \sf (nearest\:hundredth)\end{aligned}

7 0
2 years ago
Carlos opened an account with 8400 at the end of year it had decreased by 6.5 percent. How is this decrease in dollars
muminat

Step-by-step explanation:

you have to multiply 8400 by .65 to get you the remaining money in his account after a year which is 5460 so Carlos lost 2940 dallors in one year

6 0
3 years ago
Simplify. 4−16÷4+42 −16 13 15 16
Dimas [21]

Answer:

[See Below]

Step-by-step explanation:

✦ First split the equation in little pieces and solve them:

  ✧ 4 - 16 = -12

  ✧ 4 + 4² = 20 (4² = 16)

✦ Now divide them:

  ✧ -12 ÷ 20 = -0.6

So I'm guessing you're trying to simplify 4²... so it'd be 16 because none of the choices are the simplified version of the problem.

~<em>Hope this helps Mate. If you need anything feel free to message me.</em>

7 0
2 years ago
2. A man buys eggs at 55kobo a score . he finds that 10% of the eggs are unsellable but sells the rest at 60kobo a dozen .find i
liubo4ka [24]

Answer:

Percentage Profit is 63.63%

Step-by-step explanation:

The man buys 440 eggs at 55 pence a score

i.e. he buys 20 eggs for 55 pence

He buys 1 egg for 55/20 = 2.75 pence

Therefore, he buys 440 eggs for = 440 × 2.75 = 1210 pence

10% eggs are unsaleable

thus he sold = 440 - 440 × 10/100 = 440 - 44 = 396 eggs

Eggs sold in dozen = 396/12 = 33

He sold 1 dozen for = 60 pence

Thus, he sold 33 dozen for = 33 × 60 = 1980 pence

Profit = 1980 - 1210 = 770 pence

% Profit = (770/1210) × 100 = 63.63%

(hope this helps can i plz have brainlist :D hehe)

3 0
3 years ago
Help me please it is due tomorrow help with 2 or 3 just what in the boxes a nd who has what
artcher [175]
2640 is the answer for number 2.


4 0
3 years ago
Read 2 more answers
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