3 years ago

What is the square root of 4(√147÷3 + 3) ?

Mathematics

1 answer:

ss7ja [257]3 years ago

5 0

Answer:

28.84

Step-by-step explanation:

Simplify the inside of root first

147 / 3 = 49

49 + 3 = 52

4 (root) 52 = 28.8444102

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Given that

$\begin{gathered} \Delta ABC\text{ is similar to }\Delta RST \\ \text{Therefore, the ratio of the corresponding sides is equal.} \\ \text{That is,} \\ \frac{AB}{RS}=\frac{BC}{ST}=\frac{AC}{RT} \end{gathered}$

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We now use the ratio of the corresponding sides to find side RT( the value of x).

Hence,

$\begin{gathered} \frac{AB}{RS}=\frac{AC}{RT} \\ \frac{12}{16}=\frac{24}{x} \\ x=\frac{24\times16}{12} \\ x=32 \end{gathered}$

Therefore, the value of x (RT) is 32

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