How do you find a to the nearest degree?

  A ≈ 67°

Step-by-step explanation:

Since you have all three sides of the right triangle, you can use any of the inverse trig functions to find the angle. SOH CAH TOA reminds you ...

  Sin(A) = Opposite/Hypotenuse = 12/13

  A = arcsin(12/13) ≈ 67°

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  Cos(A) = Adjacent/Hypotenuse = 5/13

  A = arccos(5/13) ≈ 67°

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  Tan(A) = Opposite/Adjacent = 12/5 = 2.4

  A = arctan(2.4) ≈ 67°

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Comment on calculator use

When you use your calculator for these inverse functions, make sure it is in "degrees" mode (not "radians"). Your calculator keys may be labeled with a "-1" superscript to indicate the inverse function. You can use the rounding function of your calculator, or you can round the number yourself (probably easier).

  sin⁻¹ = arcsin

  cos⁻¹ = arccos

  tan⁻¹ = arctan

A Google search box is also capable of showing you the inverse trig function value. (see attachment)

Step-by-step explanation:

It's a right triangle, because:

Pythagorean teorem.

Use sine:

We have:

assuming you mean addition: addition and subtraction are reverse operations.

step-by-step explanation:

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5