Answer:
i=7.6h, 60.8 inches (B)
Step-by-step explanation:
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°
Step-by-step explanation:
Please refer to the picture above.
<h3>
Answer: p = 0.12*(1.02)^t</h3>
Explanation:
The general exponential growth equation is
p = A*B^t
where t is the number of years that have gone by after 2008, A is the starting amount, B is the growth multiplier, and p is the price t years after 2008
We know that A = 0.12 is the starting price
The value of B is B = 1.02 which is in the form 1+r since 1.02 = 1 + 0.02 = 1+r
The r value is r = 0.02 and it is positive to represent growth. Keep in mind that 2% = 2/100 = 0.02
So we go from
p = A*B^t
to
p = 0.12*(1.02)^t
Answer:
∠Q = 75 °
Step-by-step explanation:
Since PR = PQ then Δ PQR is isosceles and the base angles are congruent, that is
∠R = ∠Q = 2x + 15
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
2x + 15 + 2x + 15 + x = 180, that is
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Hence
∠Q = 2x + 15 = (2 × 30) + 15 = 60 + 15 = 75°
