Answer:
The volume is 140 cm3. See the explanation below, please
Step-by-step explanation:
We use the formula:
Volume (V) = 4/3 pi r ^3
V= 4/3x 3, 14x (6,44/2)^3 = 139,8 cm3= 140 cm3
Answer:
Domain: (-∞, ∞)
Range: (0,∞)
Step-by-step explanation:
<em>Exponential functions are curves which approach a horizontal asymptote usually at y=0 or the x-axis unless a value has been added to it. If it has, the curve shifts. This function has addition on the exponent but not to the whole function so it does not change the asymptote. Its y - values remain between 0 and ∞. This is the range, the set of y values.
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<em>However, the range of exponentials can change based on the leading coefficient. If it is negative the graph flips upside down and its range goes to -∞. This doesn't have it either.
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<em>The addition to 1 on the exponent shifts the function to the left but doesn't change the range.
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<em>In exponential functions, the x values are usually not affected and all are included in the function. Even though it shifts, the domain doesn't change either. Its domain is (-∞, ∞).
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<em>Domain: (-∞, ∞)
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<em> Range: (0,∞)</em>
it is not because prime factorization is a number broken down by its prime factors
4 x 3 x 20 x 8 x 22 = 42240
the correct prime factorization of 42240 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11
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Answer:
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Answer:
The corresponding pair of sides are in the same ratio.
Step-by-step explanation:
For two triangles to be similar, the theorem that is required is the corresponding sides of the two triangles are in the same ratio.
Now, see the diagram of two triangles given with the question.
The ratios of the corresponding sides are 
If two pairs corresponding sides are in 5 : 4 ratio, then the third pair of corresponding sides will also be in 5 : 4 ratio.
Therefore, the two triangles are similar. (Answer)
