The volume of a cube is 1728 cubic units. what is the length of one side?

Answers

Answer 1
Answer:

12 is the length of one side of cube.

What is cube?

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices

According to question, the volume of a cube is 1728 cubic units.

We have to find the length of the cube.

Volume=1728 cubic units

lenght^(3) =12^(3)

length =12units

Hence, 12 is the length of one side of cube.

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Answer 2
Answer: L × W × H = 1728
L = W = H
I got 12 because 12 x 12 x 12 = 1728 I'm absolutely sure :)

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Which table shows a negative correlation?

Answers

If we graph the x - y values in a scatter plot and draw a line of best fit, we can easily see the solution.

Negative correlation means y decreases as x increases, or a negative sloping line.

Attached is the graphs of all the 4 choices. Clearly, the 4th table shows negative correlation.


ANSWER: Last table (4th table) shows negative correlation

The table that shows negative correlation is the fourth table.

What is correlation?

Correlation is used in statistics to determine the relationship that exists between two variables.

Negative correlation means there is no relationship between the variables.  When plotted on a graph, a negative correlation would be downward sloping. Looking at the tables, when plotted, only the fourth table would be downward sloping.

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A certain radioactive isotope has a half-life of 15 days. If one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram; list the time (in days, starting with t = 0) in the first column and the mass remaining (in grams) in the second column, which type of sequence is used in the first column and which type of sequence is used in the second column?

Answers

A half-life of the isotope is 15 days and at start its mass is 32 g.
A table:
              t:                 m:
              0                32 g
             15               16 g
             30                 8 g
             45                 4 g
             60                 2 g
             75                 1 g
In the first column is used an arithmetic sequence ( a 1 = 0, d = 15 ).
In the second column is used geometric sequence ( a 1 = 32, r = 1/2 )                       

Two similar triangles are congruent always, sometimes, or never?

Answers

Two similar triangles are never congruent.  Similar triangles have the same shape, but their sizes may differ. They have corresponding angles that are equal and corresponding sides that are proportional to each other.

However, being similar does not guarantee that they are congruent.

Congruent triangles, on the other hand, have both the same shape and size. Their corresponding angles and sides are equal in length. Congruent triangles are essentially identical to each other.

In summary, similarity implies the same shape but different sizes, while congruence implies both the same shape and size. Therefore, two similar triangles are never congruent.

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congruency means, exact twins, completely exact.

similarity means, they must look the same only, one can be larger or smaller than the other, the angles must be the same, but the lengths can be longer or shorter and that's ok.

if two figures are congruent, they are also similar, but if one is larger than the other, they're still similar, though not congruent anymore.

What is the ratio equivalent to 18:8

Answers

9:4

you can divide both sides by a common factor, in this case 2

D=150 ft r=20 ft per min. t=?

Answers

t=d/r 
plug in your numbers and divide then you have your answer. 

11 5 over 8 into an improper fraction

Answers

11 5/8 as a improper fraction 

1) Simplify Fraction 
⇒ Multiply denominator with whole number
8 x 11 = 88

Answer of multiplication and add the numerator 
88 + 5 = 93 

93/8 is improper Fraction. 
The fraction cant be simplified 
11 5/8 
11 x 8 = 88 We multiply the whole number by the denominator 
88 + 5 = 93 We take the answer (88) and add that to 5, which equals 93.
The denominator stays the same, so you just place the 93 over 8
A= 93/8