Mathematics: 3. carlos cuts blue parallelograms and larger red parallelograms to use in his decoupage. he realizes the parallelograms are similar. what is the round to the nearest tenth area of the larger, red parallelogram? round to the nearest tenth

3. carlos cuts blue parallelograms and larger red

Ответ:

cuppykittyy

13.01.2022

Mathematics

The area of the larger parallelogram is $180\ cm^{2}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is the scale factor

Let

z------> the scale factor

$z=\frac{24}{16}=1.5$

step 2

Find the area of the larger parallelogram

we know that

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

Let

z------> the scale factor

x------> the area of the larger parallelogram

y-------> the area of the smaller parallelogram

$z^{2}=\frac{x}{y}$

we have

z=1.5

$y=80\ cm^{2}$

substitute the values

$1.5^{2}=\frac{x}{80}$

$x=80*(1.5^{2})=180\ cm^{2}$

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Ответ:

tiffcarina69

04.10.2020

Mathematics

True

Step-by-step explanation:

Let A denotes the point (1,7)

Let B denotes the point (5,5)

We are supposed to find The length of the line segment containing the points

Formula : $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(x_1,y_1)=(1,7)\\(x_2,y_2)=(5,5)\\ d = \sqrt{(5-1)^2+(5-7)^2}\\ d = \sqrt{4^2+(-2)^2}\\ d = \sqrt{4^2+(-2)^2}\\d=4.47$

So,The length of the line segment containing the points (1,7) and (5,5) is 4.47 units is true.

Hence Option A is true

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3. carlos cuts blue parallelograms and larger red parallelograms to use in his decoupage. he realizes the parallelograms are similar. what is the round to the nearest tenth area of the larger, red parallelogram? round to the nearest tenth

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