Answer:
x ≈ 22.0°
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>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = <em>x°</em>
Opposite Leg = 3
Hypotenuse = 8
<u>Step 2: Find </u><em><u>x°</u></em>
- Substitute [Sine]: sinx° = 3/8
- Inverse trig: x° = sin⁻¹(3/8)
- Evaluate: x = 22.0243°
- Round: x ≈ 22.0°
So for the triangle you would use the formula A= 1/2 bh (b represents the measurement of the base, h represents the height)
A= 1/2 30(40)
A= 1/2 1200
A=600
Now for the rectangle you use the formula A= l x w (l represents length, w means width)
A= 100 x 40
A= 4000
Now you just add the two answers together
A= 4000 + 600= 4600
Answer:
23y-8
Step-by-step explanation:
First add together all of the terms that are next to a variable:
2y+10y+5y+6y=23y
Then add together all of the integers that are alone:
-9+10+(-7)+(-2)= -8
Add the two terms together and you get:
23y-8
Answer:
exponential decay (0,8)
Step-by-step explanation:
