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timurjin [86]
2 years ago
13

Order these numbers from least to greatest.

Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
4 0
<h3>Answer:  3.1691, 5.8, 5.802, 5.82</h3>

Explanation:

The smallest item is 3.1691 which is listed first. This is because 3 is smaller than 5.

Now to sort the values that start with 5.

Think of 5.82 as 5.820; think of 5.8 as 5.800

We can see that 820 is larger than 800, which means 5.820 is larger than 5.800; in short, 5.82 > 5.8

Through similar logic, we can see that 5.82 > 5.802 and it further means 5.82 is the largest item. The next largest is 5.802

The sub-list {5.802, 5.82, 5.8} sorts to {5.8, 5.802, 5.82}. These values are then written after the 3.1691 mentioned. This will produce the fully sorted list from smallest to largest.

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Find the values of the six trigonometric functions for angle G.
EleoNora [17]

Answers:

  • sin(G) = 3/5
  • cos(G) = 4/5
  • tan(G) = 3/4
  • csc(G) = 5/3
  • sec(G) = 5/4
  • cot(G) = 4/3

==============================================

Explanation:

For a right triangle, the sine of a reference angle is equal to the opposite over hypotenuse.

sin(angle) = opposite/hypotenuse

cosine involves adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse

tangent involves opposite over adjacent

tan(angle) = opposite/hypotenuse

-----------------

In short, we have this list so far

  • sin(angle) = opposite/hypotenuse
  • cos(angle) = adjacent/hypotenuse
  • tan(angle) = opposite/hypotenuse

The other three trig functions are reciprocals of these first three. Cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent.

Meaning, the other three trig ratios are

  • csc(angle) = hypotenuse/opposite
  • sec(angle) = hypotenuse/adjacent
  • cot(angle) = adjacent/opposite

--------------------

So,

  • sin(G) = opposite/hypotenuse = FH/FG = 24/40 = 3/5
  • cos(G) = adjacent/hypotenuse = GH/FG = 32/40 = 4/5
  • tan(G) = opposite/adjacent = FH/GH = 24/32 = 3/4

and

  • csc(G) = hypotenuse/opposite = FG/FH = 40/24 = 5/3
  • sec(G) = hypotenuse/adjacent = FG/GH = 40/32 = 5/4
  • cot(G) = adjacent/opposite = GH/FH = 32/24 = 4/3
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