Answer:
θ = 49.4584°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = ?
Adjacent Leg = 13
Hypotenuse = 20
<u>Step 2: Find Angle</u>
- Substitute in variables [cosine]: cosθ = 13/20
- Inverse Trig: θ = cos⁻¹(13/20)
- Evaluate: θ = 49.4584°
1.875 because ⅜ or 5 is 1.87 or 1.9 if you round it.
Answer:
Sarah is 60 years old
Step-by-step explanation:
64 divided by 4 is 16. Add 16 to 44 to get Sarah's age, 60
Answer: 1208.96
Step-by-step explanation:
The volume of the cylinder is 
The volume of the prism is 
So, the total volume is 
Answer:
x ≈ 3.4 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin57° =
=
( multiply both sides by 4 )
4 × sin57° = x , thus
x ≈ 3.4 cm ( to 1 dec. place )