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vova2212 [387]
2 years ago
7

I will give brainliest, These figures are similar. the perimeter and area of one is given. the perimeter of the other is also gi

ven, find its area and round to the nearest 10th

Mathematics
1 answer:
kkurt [141]2 years ago
3 0

Answer:

Step-by-step explanation:

step 1

Find the scale factor

we know that

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

Let

z ----> the scale factor

x----> the perimeter of the larger figure

y ----> the perimeter of the smaller figure

we have

substitute

step 2

Find the area of the larger figure

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 figure

y ----> the area of the smaller figure

we have

substitute

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f r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to (StartFraction r Over s EndFraction) (6)?
Leya [2.2K]

The equivalent expression to \mathbf{(\dfrac{r}{s})(6)= \dfrac{17}{13}}

<h3>What are the equivalent expressions?</h3>

Equivalent expressions are similar expressions that may have different forms but when a value is replaced with the variables in the same form provides the same answer.

From the information given, If:

  • r(x) = 3x - 1
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Then the fractional form can be an expression as:

\mathbf{(\dfrac{r}{s})(x)= \dfrac{3x-1}{2x+1}}

where;

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\mathbf{(\dfrac{r}{s})(6)= \dfrac{3(6)-1}{2(6)+1}}

\mathbf{(\dfrac{r}{s})(6)= \dfrac{18-1}{12+1}}

\mathbf{(\dfrac{r}{s})(6)= \dfrac{17}{13}}

Learn more about equivalent expressions here:

brainly.com/question/24734894

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In his free time Gary spends 10 hours per week on the internet and 9 hours per week on video games. If Gary has 5 hours of free
cluponka [151]

Answer:

Percentage of free time Gary spends on playing video games and using internet = 54.29%

Step-by-step explanation:

Given:

Gary spends 10 hours per week on the internet.

Gary spends 9 hours per week on video games.

Gary has 5 hours free time per day.

To find the percentage of free time Gary is using to play video game and use the internet.

Solution:

Total number of hours of free time Gary has per week = 5\times 7=35

<em>[As there are 7 days in a week so we multiply by 7]</em>

Total number of hours of free time Gary spends on playing video games and using internet per week = 10+9=19

Percentage of free time Gary spends on playing video games and using internet per week can be calculated as :

⇒ \frac{\textrm{Total time spent on playing video games and using internet per week}}{\textrm{Total free time in a week}}\times 100

⇒ \frac{19}{35}\times 100

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