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3 years ago

Name the legs of abc

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

3 0

It looks as if "B" is the right angle so
AC is the hypotenuse
AB and BC are the legs

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Simplify ( 8∙4∙2 8∙7 )^2 × ( 8 0 7−3 )^3 × 7 −9 .

stich3 [128]

$\bf ~\hspace{7em}\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
~\hspace{4.5em}
a^n\implies \cfrac{1}{a^{-n}}
~\hspace{4.5em}
\cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\left( \cfrac{8\cdot 4\cdot 2}{8\cdot 7} \right)^2\times \left( \cfrac{8^0}{7^{-3}} \right)^3\times 7^{-9}\implies \left( \cfrac{8\cdot 8}{8\cdot 7} \right)^2\times \left( \cfrac{1\cdot 7^3}{1} \right)^3\times \cfrac{1}{7^9}$

$\bf \left( \cfrac{8}{8}\cdot \cfrac{8}{7} \right)^2\times (7^3)^3\times \cfrac{1}{7^9}\implies \left( \cfrac{8}{7} \right)^2\times 7^{3\cdot 3}\times \cfrac{1}{7^9}\implies \cfrac{8^2}{7^2}\times \cfrac{7^9}{7^9}
\\\\\\
\cfrac{8^2}{7^2}\implies \cfrac{64}{49}$

4 0

3 years ago

Jeffrey is using a copy machine to make posters for a school play. The machine prints the posters at a constant rate. After 3 mi

jasenka [17]

Answer:

B: 11 minutes.

Step-by-step explanation:

So, we know that the machine prints at a constant rate.

After 3 minutes, the machine prints 108 posters.

So, let’s find the unit rate. We will divide the output over the input. So:

$108\text{ posters}/3\text{ minutes}=36\text{ posters/min}$

So, the unit rate of the machine is 36 posters per minute.

We can write an equation. If t represent the number of minutes and p represent the amount of posters, then:

$p=36t$

Gives the amount of posters p and t minutes.

We want to know how long it will take Jeffrey to make 396 posters.

So, we can substitute 396 for p and solve for t. Hence:

$396=36t$

Divide both sides by 36:

$t=11$

Therefore, it will take Jeffrey 11 minutes to make 396 posters.

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3 years ago

Which pair of angles are vertical angles? ∠KRC and ∠CRH ∠MRC and ∠KRM ∠ERT and ∠MRC ∠KRE and ∠ERT Lines K H, M T, and E C inters

hram777 [196]

The best and the most correct answer among the choices provided by the question is the first choice. The pair of angles that are vertical is ∠KRC and ∠CRH ∠MRC and ∠KRM ∠ERT. I hope my answer has come to your help. God bless and have a nice day ahead!

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3 years ago

the Marked price of an article is 25% above its cost price when it is sold at a discount of 15% there is a gain of rupees 200 fi

Vitek1552 [10]

The marked price of an article is 25% above its cost price when it is sold at a discount of 15%

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Nat2105 [25]

Answer:

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