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bezimeni [28]
2 years ago
9

What does it mean for statements to be logically equivalent?

Mathematics
1 answer:
nlexa [21]2 years ago
8 0

Answer:

Two statement forms are called logically equivalent if they have identical truth values for each possible substitution for their statement variables.

Step-by-step explanation:

hope this helps <333

brainliest plz :) ?

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Answer:

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Step-by-step explanation:

Volume of cone(V) is given by:

V = \frac{1}{3} \pi r^2h

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Volume of cylinder(V') is given by:

V' = \pi r'^2h'

where,  r' is the radius and h' is the height of the cylinder.

As per the statement:

A cylinder and a cone have congruent heights and radii.

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then;

\frac{V}{V'} = \frac{ \frac{1}{3} \pi r^2h}{\pi r'^2h'} = \frac{ \frac{1}{3} \pi r'^2h'}{\pi r'^2h'}

⇒\frac{V}{V'} =\frac{1}{3} = 1 : 3

Therefore, the ratio of the volume of the cone to the volume of the cylinder is, 1 : 3

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3 years ago
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Step-by-step explanation:

Alternate interior angles are same

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