Answer:
1.107 = r
Step-by-step explanation:
To solve this for r, do the following:
Add 10 to both sides, to isolate the r term on the left: 18r^(-8) = 8
Divide both sides by 18, to isolate r^(-8): r^(-8) = 8/18
Invert both sides: r^8 = 9/4
Take the natural log or both sides:
8 ln r = ln 9 - ln 4, or
8 ln r = 0.8109, so that ln r = 0.1014
to find r, raise e to the power ln r on the left and e to the power 0.1014 on the right:
ln r 0.1014
e = e = 1.107 = r
Answer:
- 1) 19.07 m, 2) 80.10 ft, 3) 56.79 m
Step-by-step explanation:
Use <u>trigonometry</u> to solve for unknowns.
<h3>1) Use sine</h3>
- <em>sine = opposite leg / hypotenuse</em>
- sin 27° = x/42
- x = 42 sin 27°
- x = 19.07 m (rounded)
<h3>2) Use tangent</h3>
- <em>tangent = opposite leg / adjacent leg</em>
- tan 23° = 34/x
- x = 34 / tan 23°
- x = 80.10 ft
<h3>3) Use cosine</h3>
- <em>cosine = adjacent leg / hypotenuse</em>
- cos 48° = 38/x
- x = 38 / cos 48°
- x = 56.79 m (rounded)
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (5, -7)
Point (-7, 1)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [SF]:
- [Fraction] Add/Subtract:
- [Fraction] Simplify:
