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3 years ago

What is the scale factor from polygon ABCD to polygon PQRS??

Mathematics

1 answer:

deff fn [24]3 years ago

7 0

Scale factor is defined as a number which multiplies or scales some quantity.

The shape of the figure remains same, the image becomes larger or smaller.

If the scale factor is greater than one, then the image is enlarged.

If the scale factor is less than 1 but greater that 0, then the image becomes smaller.

In the above image, AD = 2 units.

It's corresponding side PS = 3 units

Similarly AB = 1 unit and PQ = 1.5 units

Hence , 1 * 1.5 = 1.5

2*1.5 = 3

Hence, the scale factor of the given image is 1.5 ... Answer

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Write a decimal that the model represents

anastassius [24]

Answer:

<em>number = 0.011</em>

Step-by-step explanation:

<u>Decimal Representation</u>

The model is shown in the figure. It has a form of a cube where each face is divided into 10 equal squares, forming a 10x10x10=1,000 smaller cubes piece.

Out of that 1,000 cubes, only 11 are shaded. This leaves us to think the decimal represented by the model is the division between the shaded cubes by the total cubes, thus:

$number= \frac{11}{1,000}$

Dividing:

number = 0.011

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3 years ago

The equation y =-x+4 is the boundary line for the inequality y<-x+4 which Sentence describes the graph of the inequality?

Jlenok [28]

The region shaded below a solid boundary line

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3 years ago

A population has the following characteristics.(a) A total of 25% of the population survives the first year. Of that 25%, 75% su

zaharov [31]

Answer:

After 1st year, the age distribution will be

$x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]$

After 2nd year, the age distribution will be

$x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right]$

Step-by-step explanation:

A population has the following characteristics.

A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year.

The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year.

From the above information, we can construct a transition age matrix.

$A = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right]$

The population now consists of 144 members in each of the three age classes.

From the above information, we can construct the current age matrix.

$x = \left[\begin{array}{ccc}144\\144\\144\end{array}\right]$

How many members will there be in each age class in 1 year?

After 1st year, the age distribution will be

$x_1 = A \cdot x$

$x_1 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}144\\144\\144\end{array}\right]$

The matrix multiplication is possible since the number of columns of first matrix is equal to the number of rows of second matrix.

$x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]$

After 2nd year, the age distribution will be

$x_2 = A \cdot x_1$

$x_2 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]$

$x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right]$

4 0

4 years ago

Find the circumference of both circles

asambeis [7]

Answer:

2πr=circumference

Step-by-step explanation:

small circle has 12 inc length so it's circumference is 2*π*12 =24π

big circle has 14 İnc Length so it has 2*π*14=28

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2 years ago

What is the slope of the two points (-2,7) and (4,-8)

labwork [276]

Answer:

-15/6

Step-by-step explanation:

If you look at the first number in each point, the x coordinate, you see the 2nd point is 6 forward from the 1st point. Now the 2nd number is the y coordinate, and you can see it goes down 15 from the 1st coordinate. So y/x is the slope.

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3 years ago

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