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3 years ago

13

sharon is planning a cookout for 42 people. each guest will get 1 veggie burger. sharona will put one slice of cheese on half of

the burgers. cheese slices come in packs of 8. write and solve an equation to find the number of packs of cheese, p, that sharon needs to buy.

1 answer:

Whitepunk [10]3 years ago

4 0

Answer:

3

Step-by-step explanation:

42 divided by 2 equals 21

21 divided by 8 equals 2.625

therefore, sharon must buy 3 packets of cheese.

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<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>

Here angle B is 90°

So $\triangle ABC$ and $\triangle ABD$ Are right angled triangle

So we use Pythagoras thereon for solution

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

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We need to find base=b

According to Pythagoras thereon

${\boxed{\sf b^2=h^2-p^2}}$

Substitutethe values

$\longrightarrow$ $\sf b^2=10^2-p^2$

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$\longrightarrow$ $\sf b={\sqrt{100-64}}$

$\longrightarrow$ $\bf b={\sqrt {36}}$

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$\longrightarrow$ $BD=9+6$

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Now in $\triangle ABD$

Perpendicular=p=8cm

Base =b=15cm

We need to find Hypontenuse =AD(x)

According to Pythagoras thereon

${\boxed {\sf h^2=p^2+b^2}}$

Substitute the values

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$\longrightarrow$ $\sf h={\sqrt {8^2+15^2}}$

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$\longrightarrow$ $\sf h={\sqrt {289}}$

$\longrightarrow$ $\sf h=17cm$

$\therefore$ ${\underline{\boxed{\bf x=17cm}}}$

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