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professor190 [17]
3 years ago
9

A regular decagon is rotated in degrees about its center carrying the decagon onto itself. the value of n could be

Mathematics
1 answer:
olga_2 [115]3 years ago
3 0

Answer:

n = 6, 72, 108, 144, 180, 216, 252, 288, 324, 360.....

Step-by-step explanation:

Given:

Shape: Decagon

Required

Determine the value of n

For a decagon:

Sides = 10

Complete\ Rotation = 360\°

First, we need to determine the angle of each rotation.

This is calculated by dividing the complete rotation with number of sides

Angle = \frac{360}{10}

Angle = 36

Next, we calculate the possible value of n.

Since there is no option, the general rule is that the possible value of n must be a multiple of angle of each rotation i.e. 36

Hence, n could be either of the following:

n = 6, 72, 108, 144, 180, 216, 252, 288, 324, 360.....

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Answer:

The question is not correctly stated, here is the correctly stated question:

A weight-management researcher was interested in whether the size of breakfast could deter overall food consumption throughout the rest of the day. He creates two breakfast groups, a 350-calorie breakfast and a 750-calorie breakfast, assigns six participants to each group and tracks their total calories eaten in one day. Because of the detailed attention needed to accurately interview participants about their eating, he works with the high-calorie group and has his assistant interview the low-calorie group.

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Variables are properties, of an experiment that take on different amount or values, unlike a constant that has one unchanging value assigned to it.

There are two kinds of variables; dependent and independent variables. Independent variables are variables that the scientist/experimenter has the power to manipulate at will. In our example, the independent variable is "the size of breakfast" because the experimenter chose by reason of will to either use 350-calories or 750- calories breakfast. While the dependent variables are variables whose outcomes are with respect to the change in the independent variable. The experiment is actually out to observe how the dependent variable plays out during the experiment. In our example, the dependent variable is "overall food consumption throughout the rest of the day". The outcome of the overall food consumption throughout the rest of the day is as a result of the size of breakfast taken.

Next, the independent variable can take on various levels, and the number of levels are the number of experimental conditions that the independent variables can take. In our example the independent variable (size of breakfast), was either 350-calories breakfast or 750-calories breakfast, hence it took 2 experimental conditions. Most of the time, 2 level independent variables are the independent and the control variables. For clarity, another example is; "a research to determine the effect of five kinds of body creams on the skin color after 2 years", the dependent variable is the skin color, while the independent variable is the type of cream and in this case there are five types of creams, hence the level of the independent variable is 5.

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In the graph below, line k with equation y = -k makes a 45° angle with the x- and y- axes. Complete the following: Rx Rk : (2,5)
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The point with a coordinate of (2,5) will be translated into y=-x line. The transformation for y=-x would be:
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