Answer:
A ≈ 40°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality<u>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Angle θ = A
Opposite Leg = 27
Hypotenuse = 42
<u>Step 2: Solve for </u><em><u>A</u></em>
- Substitute [sine]: sinA = 27/42
- Simplify: sinA = 9/14
- Trig inverse: A = sin⁻¹(9/14)
- Evaluate: A = 40.0052°
- Round: A ≈ 40°
Step-by-step explanation:
3^2
18^2 in scientific notation
Alright, so in order to find this, you will nee to use the Triangle Inequality Theorem.
We’ll make the values = to variables to make it easier. a=1 b=1 c=2
All of the inequities need to be true.
a+b>c
b+c>a
c+a>b
Now replace the variables.
1+1>2 2>2 (False)
1+2>1 3>1 (True)
1+2>1 3>1 (True)
Since one is false, 1,1, and 2 cannot make a triangle.