Polygon Y is a scaled copy of polygon X using a scale factor of 1/3. Polygon Ys area is what fraction of polygons Xs area?

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

8 0

Answer:

The answer is " $\bold{\frac{1}{9}}$ "

Step-by-step explanation:

In this question, when two figures are similar so, the ratio from its size is equal to the squared factor that are:

Scaling factor= Z

Area of Polygon Y=a

Area of Polygon X=b

$z=\frac{1}{3}\\\\using \ substitution:\\\\(\frac{1}{3})^2=\frac{a}{b}\\\\\frac{1}{9}=\frac{a}{b}\\\\a=\frac{1}{9}b$

You might be interested in

I am a factor of 120, and a common multiple of 3, 4, and 10. The sum of my digits is 6.

Galina-37 [17]

Answer:

At first find the lowest common multiple of 3, 4, 10

so it is 60

and 60is a factor of 120 and also the sum of the digits of 60 = 6+0 = 6

.°. 60 is the answer

7 0

3 years ago

What is 50 of 110 home work due tommorow please help!

Kisachek [45]

55 if you mean one half
5500 if you mean 50 times 110
60 if you mean 50 from 110

7 0

4 years ago

The rational function has a y-intercept of 7. What is the equation for this function?

Schach [20]

Answer:

$\large\boxed{f(x)=\dfrac{4}{x+2}+5}$

Step-by-step explanation:

$f(x)=\dfrac{a}{x-b}+c\\\\\text{We have}\\\text{(1) the vertical asymptote}\ x=-2.\ \text{Therefore}\ b=-2.\\\text{(2) the horizontal asymptote}\ y=5.\ \text{Therefore}\ c=5.\\\text{(3) the point (0, 7). Put the coordinates of the point to the equation}\\\text{of the function}\\y=\dfrac{a}{x-(-2)}+5\\\\7=\dfrac{a}{0+2}+5\qquad\text{subtract 5 from both sides}\\\\2=\dfrac{a}{2}\qquad\text{multiply both sides by 2}\\\\4=a\to a=4\\\\\text{Finally:}\\\\f(x)=\dfrac{4}{x+2}+5$