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The distance between starting and ending point is 34 miles.
Step-by-step explanation:
Given,
Car moves 16 miles to north then 30 mile to east.
It forms a right angle triangle.
The straight line distance from starting to ending point represents hypotenuse.
To find the distance between starting and ending point.
Formula
By <em>Pythagoras theorem,</em>
h² = b²+l² where h is the hypotenuse, b is base and l is the another side.
Taking, b=16 and l=30 we get,
h² = 16²+30²
or, h =
or, h = = 34
Hence,
The distance between starting and ending point is 34 miles.
Answer:
Step-by-step explanation:
<u>Exponents Properties</u>
We need to recall the following properties of exponents:
We are given the expression:
We need to express the following expression in terms of n.
It's necessary to modify the expression to use the given equivalence.
Recall . Thus:
Applying the property:
Substituting the given expression:
Or, equivalently: