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snow_tiger [21]
3 years ago
12

Simplify as far as possible without a calculator.√2(4√7+3√2)

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

\sqrt{2} (4 \sqrt{7}  +  3\sqrt{2} )

\sqrt{2} (4 \sqrt{7} ) +  \sqrt{2} (3 \sqrt{2} )

4 \sqrt{14}  + 3(2)

4 \sqrt{14}  + 6

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After an exercise, Ali and Ben measured their heart rates. The ratio of their heart rates was 15:17 Bens heart beats 18 times pe
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Answer:

Ali's heart rate is 135 times per minute.

Step-by-step explanation:

Let Ali's heart rate be denoted by <em>x</em> times per minute.

It is provided that Ben's heart beats 18 times per minute more than Ali.

The ratio of their heart rates was 15:17.

That is:

\frac{15}{17}=\frac{x}{x+18}

Solve for <em>x</em> as follows:

\frac{15}{17}=\frac{x}{x+18}

15(x+18)=17x\\15x+270=17x\\2x=270\\x=135

Thus, Ali's heart rate is 135 times per minute.

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