This can be solve using cosine lawbut first let as solve the included angle in the triangle form
angle = 180 - 42angle = 138
c^2 = a^2 + b^2 - 2ab(cos angle)c^2 = 150^2 + 70^2 - 2(150)(70)cos(138)C^2 = 43006.04c = sqrt(43006.04)c = 207.37 mile
directionsin (x) / 70 = sin (138)/ 207.37sin x = 0.2259x = arcsin(0.2259)x = 13.05 degree north of west
X=70 because you have to convert the decimals to fractions so that the .35 equals 7/20 and .45 equals 9/20 then simplify the complex fractions on each side so 7/20 over 2X/3 equals 21/40X and the 9/20 over the X-10 equals 9/20(X-10), then cross multiply to get 420 (X-10)= 320X, next you would distribute the 420 through the parenthesis to get 420X-4200=360X, then add 4200 to both sides so 420X on its own then add 360X on both sides so both X's are on the same side then combine like terms and get 60X on the left, then divide both sides by 60 so X is on its own so X=70
Answer: You can see it does matter in what order you solve the equation. ... Just like when you are solving equations with whole numbers, solving equations with fractions has the same order of operations. The order of operations is the order in which you solve the problem. If numbers are in parentheses, you do them first.
Answer:
u = -2, -3/5
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Factoring
- Finding roots
Step-by-step explanation:
<u>Step 1: Define equation</u>
5u² + 6 = -13u
<u>Step 2: Solve for </u><em><u>u</u></em>
- Rewrite: 5u² + 13u + 6 = 0
- Factor: (u + 2)(5u + 3) = 0
- Find roots: u = -2, -3/5
Answer:
14p-35
Step-by-step explanation: