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3 years ago

48 oz 1/2 gallon 3 1/2 pints 10 3/4 cups 2 1/4 quarts sort from least to greatest

Mathematics

1 answer:

bogdanovich [222]3 years ago

3 0

1/2 gallon = 64 ounces

3 1/2 pints = 56 ounces

10 3/4 cups = 28.4 ounces

2 1/4 quarts = 72 ounces

so least to greatest:

10 3/4 cups, 48 oz., 3 1/2 pints, 1/2 gallon, 2 1/4 quarts

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Answer:

$\displaystyle A = \frac{8}{21}$

General Formulas and Concepts:

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Algebra I

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Calculus

Area - Integrals

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Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

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*Note:

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Step 2: Identify Bounds of Integration

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Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

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3 years ago

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3 years ago

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svp [43]

Answer:

7) 49°

8) 77°

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Step-by-step explanation:

7) The angles are between the parallel lines, so are "interior." They are on opposite sides of the transversal, so are "opposite interior" angles. Such angles are congruent, so ...

... ? ≅ 49°

8) The angles are adjacent interior angles, so are supplementary.

... ? + 103° = 180°

... ? = 77°

9) The angles are outside the parallel lines, so are "exterior." They are on opposite sides of the transversal, so are "opposite exterior" angles. Such angles are congruent.

... ? ≅ 87°

10) These are vertical angles, so are congruent. (The other parallel line is irrelevant and doesn't need to be there for this relationship to be true.)

... ? ≅ 135°

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3 years ago