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butalik [34]
3 years ago
13

What is the distance between the points (5,5) and (2,9)? Question 3 options: 5 units 25 units 36 units 6 units

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0
Use distance formula:

d = √( (x₁ - x₂)² + (y₁ - y₂)² )

Here you have x₁ = 5, x₂ = 2, y₁ = 5, y₂ = 9

So that would be √( (5-2)² + (5-9)² ) = √( (3)² + (-4)² ) = √(9+16) = √25 = 5

Final answer: 5 units
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In a valcano, erupting lava flows continuously through a tube system about 19 kilometers to the sea. assume a lava flow speed 0.
Sunny_sXe [5.5K]

Lava flows continuously about 19 kilometers to sea if speed of  lava is 0.5 kilometer per hour then it will take 38 hours to reach the sea.

As given,

Distance covered = 19kilometers

Speed of lava = 0.5 kilometer per hour

0.5 kilometers=1 hour

⇒ 1kilometers = (1/0.5)hour

⇒ 19 kilometers = (19 / 0.5) hour

⇒ 19 kilometers = 38 hours

Therefore, lava flows continuously about 19 kilometers to the sea if speed of the lava is 0.5 kilometer per hour then it will take 38 hours to reach the sea.

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4 0
1 year ago
If sec 48 = 1.4945, find csc 42
Grace [21]
Because cos(x) = 1/sec(x), therefore
cos(48) = 1/1.4945 = 0.6691

The angle 48° is in quadrant 1, therefore cos, sin, tan, sec, csc and cot functions are all positive.

Note that sin(90° - x) = cos(x).
Therefore
sin(90 - 48) = cos(48)
sin(42°) = cos(48°) = 0.6691

Because csc(x) = 1/sin(x), therefore
csc(42°) = 1/sin(42°) = 1/0.6691 = 1.4945

Answer:  1.4945
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