1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Jason used the commutative property to write an expression that is equivalent to 3
Elanso [62]

Answer: 0.22

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Show that f(x) f(y) - f(x+y), where f(x)= [cos x - sin x o] [sin x cos x o] [o o 1]
Naddik [55]

Answer:

The answer is below

Step-by-step explanation:

Show that f(x) f(y) = f(x+y)

From trigonometric:

sin(x + y) = sinxcosy + cosxsiny

sin(x - y) = sinxcosy - cosxsiny

cos(x + y) = cosxcosy - sinxsiny

cos(x - y) = cosxcosy + sinxsiny

f(x)=\left[\begin{array}{ccc}cosx&-sinx&0\\sinx&cosx&0\\0&0&1\end{array}\right] ,f(y)=\left[\begin{array}{ccc}cosy&-siny&0\\siny&cosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cosxcosy-sinxsiny&-cosxsiny-sinxcosy&0\\sinxcosy+cosxsiny&-sinxsiny+cosxcosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\

f(x+y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\Therefore\ f(x)f(y)=f(x+y)

4 0
3 years ago
The graph shows the increase of the temperature over time in an oven what is the change in the y value and x value on the graph
Hatshy [7]

Let

x-------> the time in minutes

y-------> the temperature in Fahrenheit  degrees

A(2,150)\\B(3,190)

we know that

<u>the change in the y-values between two points is equal to</u>

(y2-y1)

Substitute the y-values of the point A and B in the formula

y2=190\\y1=150

(190-150)=40

<u>the change in the x-values between two points is equal to</u>

(x2-x1)

Substitute the x-values of the point A and B in the formula

x2=3\\x1=2

(3-2)=1

therefore

<u>the answer is</u>

The change in the y-value is 40 and the change in the x-value is 1

6 0
3 years ago
Read 2 more answers
Please help!! Evaluate the piece wise function at x=-4 and x=4.
hodyreva [135]

x = -4, so use the first equation, x^2 = -4^2 = -16

x = 4, use 3rd equation, sqrt(x) = sqrt(4) = 2

4 0
3 years ago
How many ways can you distribute $4$ identical balls among $4$ different boxes?
snow_tiger [21]

Answer:  a reasonable answer would be 4 balls maximum and 0 balls minimum to any of 4 given boxes with the 4 box totals = 4 balls.

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • preston uses the bar diagram to represent 4x - 3 = 13. how would you use the bar diagram to solve for x
    12·1 answer
  • A clerical worker takes 2 times as long to finish a job as it does an executive secretary. Working together, it takes them 2 hr
    8·1 answer
  • A square has a side length of 36 feet. This square is dilated by a scale factor of 23 to create a new square. What is the side l
    9·2 answers
  • Find f(-2) for the function f(x)=3x^2-2x+7
    9·1 answer
  • What is the answer to (4m-5) - (6m-7+2n)
    9·1 answer
  • What number is 82% of 450
    8·2 answers
  • What is the equation of the line that passes through the point (-5, 5) and has a slope of -1
    11·1 answer
  • Someone please help me I’ll give out brainliest please dont answer if you don’t know
    9·2 answers
  • Determine whether the following scenario represents a direct variation and describe why or why not: It takes 4 painters 8 hours
    7·1 answer
  • Select the correct answer.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!