Please help me find the answer and explain the process to find the answer of the problem appreciate it :)

Mathematics

1 answer:

Natalka [10]2 years ago

5 0

Answer:

Total distance traveled is 67.653 miles

Step-by-step explanation:

Side a = 14 (miles traveled South)

Side b = 25 (miles traveled East)

side c = $a^{2} + b^{2}$

196 + 625 = $c^{2}$

821 = $c^{2}$

$\sqrt{821} = \sqrt{c^{2} }$

c = 28.653 (rounded to the nearest 1000th)

Now add the three sides to get the total distance:

14 + 25 + 28.653 = 67.653

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Which expression is equivalent to 36^-1/2

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ANSWER

$( {36})^{ (- \frac{1}{2}) } = \frac{1}{6}$

EXPLANATION

The given expression is

${36}^{( - \frac{1}{2} )}$
This is having a negative index. We must first of all change to a positive index.

Recall that,

${a}^{ - m} = \frac{1}{ {a}^{m} }$

We apply this law of exponents to get,

${36}^{( - \frac{1}{2} )} = \frac{1}{ {36}^{( \frac{1}{2} )} }$

We cab rewrite the given expression to obtain;

${36}^{( - \frac{1}{2} )} = \frac{1}{ \sqrt{36} }$

This will simplify to give us,

${36}^{( - \frac{1}{2} )} = \frac{1}{ 6 }$

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