1 gallon=4 quarts=8 pints
1quart=2pints
2 gallons=4*2=8quarts=16pints
2 containers are 1 quart
8-2=6 quarts left
6quars=xpints
12pint=xpints
12 pint containers
Answer is: B) An allowable amount of variation of a specified quantity, especially in the dimensions of a machine part.
Tolerance is how much something can take.
The correct answer is: [A]: " 8 √3 " .
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Note:
√192 = √64 * √3 = 8 √3 ; which is: "Answer choice: [A] ."
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Answer:
sin²x = (1 - cos2x)/2 ⇒ proved down
Step-by-step explanation:
∵ sin²x = (sinx)(sinx) ⇒ add and subtract (cosx)(cosx)
(sinx)(sinx) + (cosx)(cosx) - (cosx)(cosx)
∵ (cosx)(cosx) - (sinx)(sinx) = cos(x + x) = cos2x
∴ - cos2x + cos²x = -cos2x + (1 - sin²x)
∴ 1 - cos2x - sin²x = (1 - cos2x)/2 ⇒ equality of the two sides
∴ (1 - cos2x) - 1/2(1 - cos2x) = sin²x
∴ 1/2(1 - cos2x) = sin²x
∴ sin²x = (1 - cos2x)/2
Step 1. Combine like terms
Step 2. Subtract 7 from both sides
Step 3. Divide 6 from both sides
Final answer: x=1/6
