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pychu [463]
3 years ago
5

What’s the answers?

Mathematics
1 answer:
Bad White [126]3 years ago
7 0

Answer:

Step-by-step explanation:

1). If the given triangles are similar their corresponding sides will be proportional.

\frac{8}{a}= \frac{8}{12}=\frac{5}{b}

\frac{8}{a}= \frac{8}{12}

a=\frac{12\times 8}{8}

a=12

\frac{8}{12}=\frac{5}{b}

b=\frac{5\times 12}{8}

b=7.5

2). By using proportional relationship in the similar polygons,

\frac{3}{c}=\frac{6}{8}

c=\frac{8\times 3}{6}

c=4

d = 8

c = e = 4

3). If the pentagons are similar their corresponding sides will be proportional.

\frac{6}{g}=\frac{8}{18}=\frac{10}{h}= \frac{8}{I}=\frac{6}{f}

\frac{6}{g}=\frac{8}{18}

g=\frac{18\times 6}{8}

g=13.5

\frac{8}{18}=\frac{10}{h}

h=22.5

\frac{8}{18}=\frac{6}{f}

f=13.5

\frac{8}{18}= \frac{8}{I}

I=18

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Answer:

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Step-by-step explanation:

We can write 2 simultaneous equation and solve for weight of each box.

<em>Let weight of large box be l and small box be s.</em>

<em />

"<u>3 large boxes and  5 small boxes has a total weight of  116 kilograms</u>":

3l+5s=116

and

"<u>9 large boxes and  7 small boxes has a total weight of  238 kilograms</u>":

9l+7s=238

<em>Now we can solve for l in the 1st equation and put it into 2nd equation and get s:</em>

<em>3l+5s=116\\3l=116-5s\\l=\frac{116-5s}{3}</em>

<em>now,</em>

<em>9l+7s=238\\9(\frac{116-5s}{3})+7s=238\\3(116-5s)+7s=238\\348-15s+7s=238\\348-238=15s-7s\\110=8s\\s=\frac{110}{8}=13.75</em>

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3 years ago
Angelina deposits $3000 in a savings account on 1 January 2019, earning compound interest of 1.5% per year.
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The interest earned would be $481.62.

The total amount of money in her account would be $16,377.12.

<h3>Determining interest after 10 years </h3>

Interest = future value - amount deposited

$3000 (1.015)^10 = $3,481.62

Interest =  $3,481.62 - $3000 = $481.62

<h3>Determining the future value of the account.</h3>

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Future value of the annuity = amount deposited x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r = [(1.015)^10 - 1] / 0.015 = 10.702722

Future value =  10.702722 x $1,200 = $12,843.27

Total future value =  $12,843.27 + $3,533.85 = $16,377.12

To learn more about future value, please check: brainly.com/question/18760477

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