Answer:
• c = √89 ≈ 9.434
• A = arcsin(8/√89) ≈ 57.995°
• B = arcsin(5/√89) ≈ 32.005°
Step-by-step explanation:
By the law of cosines, ...
c² = a² + b² -2ab·cos(C)
Since c=90°, cos(C) = 0 and this reduces to the Pythagorean theorem for this right triangle.
c = √(8² +5²) = √89 ≈ 9.434
Then by the law of sines (or the definition of the sine of an angle), ...
sin(A) = a/c·sin(C) = a/c = 8/√89
A = arcsin(8/√89) ≈ 57.995°
sin(B) = b/c·sin(C) = b/c = 5/√89
B = arcsin(5/√89) ≈ 32.005°
<h3>
Answer: $4.46</h3>
===================================================
Work Shown:
3 containers = 6.69 dollars
3/3 containers = 6.69/3 dollars .... divide both sides by 3
1 container = 2.23 dollars
2*(1 container) = 2*(2.23 dollars) ... multiply both sides by 2
2 containers = 4.46 dollars
A shortcut is to start with "3 containers = 6.69 dollars" and multiply both sides by 2/3
Each mention of "container" refers to a half-gallon container.
Answer:
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Step-by-step explanation:
Answer:
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