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Verizon [17]
3 years ago
6

Help PLZ

Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0

Answer:

If they are travelling in opposite directions, their total distance is the 135. So add their distances together to get 135

x=Quinn's speed

x+5 = James' speed

they each travel for 5 hours

speed x time = distance

x(5) + (x+5)(5) = 135

Quinn's distance + James' distance = total distance

5x+5x+25=135

10x = 110

x = 11

Quinn travels at 11 mph and James travels at 16 mph

Quinn travels 55 miles (5x11)

and James travels 80 miles (16 x 5)

80 + 55=135

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What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
djyliett [7]

Answer:

  5π, about 15.708 units

Step-by-step explanation:

A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...

  C = πd

For a diameter of 5 units, the circumference is ...

  C = π(5) = 5π = 15.708 . . . units

_____

<em>Additional comment</em>

The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...

 3² + 4² = 9 +16 = 25 = 5²

That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.

6 0
2 years ago
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bezimeni [28]
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7 0
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AnnyKZ [126]

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Step-by-step explanation:

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