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siniylev [52]
3 years ago
7

You start driving north for 55 miles,turn right ,and drive east for another 48 miles.how many miles must you travel to return di

rectly back to your starting point?
Mathematics
1 answer:
Westkost [7]3 years ago
7 0

Answer:

73 miles

Step-by-step explanation:

You drove for two straight lines that are perpendicular to each other. Now you want to go straight back, like the hypotenuse of a right-angle triangle.

Use the Pythagorean theorem.

It's in the format <u>side</u>² + <u>side</u>² = hypotenuse².

We know the two <u>sides</u> at 55 miles and 48 miles.

Substitute what we know:

a² + b² = c²

55² + 48² = c²    Simplify

5329 = c²    Isolate c by finding the square root of both sides

c = √5329

c = 73       Final answer

Remember the unit is miles.

You need to travel 73 miles to return back to your starting point.

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The equation of the transformed function is y = 5cos(x/4 + 60) - 3

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