Answer: The side A measures 12 centimetres
Step-by-step explanation: Please refer to the attached picture for details.
The trapezoid is given with dimensions as shown, that is 3 cm, 5 cm, 2 cm and 2 cm. Furthermore, it is now enlarged into another trapezoid with the dimensions given as 20 cm, 8 cm, 8 cm and A cm.
Having been told that the second parallelogram is an expansion of the first one tells us that they are similar trapezoids. Hence, the ratio that makes them similar is derived as follows;
Ratio = 2:8 = 2:8 = 5:20
Ratio = 1:4 = 1:4 = 1:4
Therefore, having determined the ratio by which the trapezoid is enlarged, side A is calculated as follows;
1/4 = 3/A
A = 4 x 3
A = 12 centimetres
Answer:
The perimeter of the polygon is 48 cm.
Step-by-step explanation:
Given:
To find the perimeter of the polygon, we need to find the lengths of the AB, BC, CD and DA
Since, and to find the length, from circle theorem, "Two tangents from an external point to a circle are always equal in length".
From this statement we shall conclude,
The length of
The length of
The length of
The length of
Thus, the perimeter of the polygon is
Hence, the perimeter of the polygon is 48 cm.
Answer:
True. See explanation below
Step-by-step explanation:
Previous concepts
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have groups and on each group from
we have
individuals on each group we can define the following formulas of variation:
And we have this property
The degrees of freedom for the numerator on this case is given by where k represent the number of groups.
The degrees of freedom for the denominator on this case is given by .
And the total degrees of freedom would be
And the we can find the F statistic