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Aleksandr-060686 [28]
4 years ago
9

A square pyramid and a cube have the same bases and volumes. How are their heights related?

Mathematics
1 answer:
cricket20 [7]4 years ago
6 0
Volume of square pyramid =a²*h/3, bases are the same so area of a base =a²
Volume of cube=a²*a, same base so area of a base of a cube =a²,
because all edges of a cube are equal, so height of a cube =a
Volume of the square pyramid=Volume the a cube
a²*h/3=a²*a
h/3=a
h=3a
the height of the pyramid is 3 times  the height of  the cube
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The slope-intercept form of the given equation ( 8x 10y=-30 ) is y = (-4/5)x - 3.

<h3>What is the slope-intercept form of the given equation?</h3>

The slope-intercept form is expressed as;

y = mx + b

Where m is the slope and b is the y-intercept.

Given the equation in the question;

8x + 10y = -30

To convert to slope intercept form, we make y the subject of the formula and simplify.

8x + 10y = -30

10y = -8x - 30

Divide each term by 10

10y/10 = -8x/10 - 30/10

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y = (-4/5)x - 3

Therefore, the slope-intercept form of the given equation ( 8x 10y=-30 ) is y = (-4/5)x - 3.

Learn more about slope and y-intercept here: brainly.com/question/19824331

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Answer:

Step-by-step explanation:

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An observational study is one where the investigator has no control or intervenes on it. He just defines the variable of interest and merely collects and documents the information.

An experimental study or experiment is one where the investigator intervenes by defining the variable of interest and artificially manipulates the study factor. It is also one of its characteristics the randomization of cases or subjects in groups (two or more, depending on what is the hypothesis of study).

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In the first example, the researcher doesn't control anything about the experiment, he just asks the professional musicians their age.

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In this second example, there is also no intervention of the researcher, she just asks her employees where they eat their lunch. This example is also an observational study.

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