Henry has three metal rods. The three metal rods measure 7 feet, 9 feet, and 2 feet.

Mathematics

1 answer:

ankoles [38]2 years ago

6 0

Answer:

No, Henry cannot form a triangle.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of the lengths of two sides must be greater than the third side.

7 (first side) + 2 (second side) = 9

The sum of these two sides is not greater than the third side (9).

So, therefore, Henry cannot form a triangle.

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A ship leaves port and travels due west for 30 knots, then changes course to S 30° W and travels 50 more knots. Find the bearing

leva [86]

Answer:

232°

Step-by-step explanation:

There are a couple of ways to find the desired direction. Perhaps the most straightforward is to add up the coordinates of the travel vectors.

30∠270° +50∠210° = 30(cos(270°), sin(270°)) +50(cos(210°), sin(210°))

= (0, -30) +(-43.301, -25) = (-43.301, -55)

Then the angle from port is ...

arctan(-55/-43.301) ≈ 231.79° . . . . . . . 3rd quadrant angle

The bearing of the ship from port is about 232°.

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<em>Comment on the problem statement</em>

The term "knot" is conventionally used to indicate a measure of speed (nautical mile per hour), not distance. It is derived from the use of a knotted rope to estimate speed. Knots on the rope were typically 47 ft 3 inches apart. As a measure of distance 30 knots is about 1417.5 feet.