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Talja [164]
3 years ago
11

Indicate whether each of the following fractions is proper or improper. a. 4⁄16 b. 75⁄70 c. 2⁄15 d. 6⁄6

Mathematics
2 answers:
Gemiola [76]3 years ago
8 0
An proper fraction is a fraction where the denominator is larger than the numerator.
An improper fraction is a fraction where the numerator is larger than or equal to the denominator.

a. 4/16
The denominator is 16. The numerator is 4. The denominator is larger than the numerator; thus, this is a proper fraction.

b. 75/70
The denominator is 70. The numerator is 75. The numerator is larger than the denominator; thus, this is an improper fraction.

c. 2/15
The denominator is 15. The numerator is 2. The denominator is larger than the numerator; thus, this is a proper fraction.

d. 6/6
The denominator is 6. The numerator is 6. The numerator is equal to the denominator; thus, this is an improper fraction.
Westkost [7]3 years ago
7 0
75/70 is an Improper Fraction
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We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.

The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
   h = √((15 in)² - (10 in)²) = √115 in

The volume of the conical part of the figure is then
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The volume of the hemispherical part of the figure is given by
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Then the total volume of the figure is
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   V = (100π√115)/3 in³ + 2000π/3 in³
   V = (100π/3)(20 + √115) in³
   V ≈ 3217.39 in³
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3 years ago
1 4
motikmotik
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