What is the distance between the origin and the point (5, 12)? If necessary, round your answer to two decimal places.

Mathematics

1 answer:

NeX [460]3 years ago

5 0

1st

Make a right triangle with legs 5, 12, and hypotenuse D. D is the distance you need.
Pythagorean Th
25 +144 = D^2
169 = D^2
D = 13

2. Plug in all the points...
B, D, F work

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A motorist traveled 250 miles on 11 gallons of gas. With the same vehicle, about how far could he go on 16 gallons of gas? A) 17

Andrei [34K]

ANSWER

$363.6 \: miles$
EXPLANATION

We were told that the motorist travelled 250 miles on 11 gallons of gas. This implies that,

$250 \: miles \equiv11 \: gallons$

Now we want to find how far he could go on 16 gallons.

$x \: miles \equiv16 \: gallons$

All other things being equal, the motorist should cover more than 250 miles with 16 gallons of gas.

Recall that: If more, less divides.

This implies that,

$x = \frac{250 \times 16}{11}$

$x = \frac{4000}{11} = 363.6 \: miles$

Therefore the correct answer is C.

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Dmitry [639]

check the picture below.

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