Answer:
r = (ab)/(a+b)
Step-by-step explanation:
Consider the attached sketch. The diagram shows base b at the bottom and base a at the top. The height of the trapezoid must be twice the radius. The point where the slant side of the trapezoid is tangent to the inscribed circle divides that slant side into two parts: lengths (a-r) and (b-r). The sum of these lengths is the length of the slant side, which is the hypotenuse of a right triangle with one leg equal to 2r and the other leg equal to (b-a).
Using the Pythagorean theorem, we can write the relation ...
((a-r) +(b-r))^2 = (2r)^2 +(b -a)^2
a^2 +2ab +b^2 -4r(a+b) +4r^2 = 4r^2 +b^2 -2ab +a^2
-4r(a+b) = -4ab . . . . . . . . subtract common terms from both sides, also -2ab
r = ab/(a+b) . . . . . . . . . divide by the coefficient of r
The radius of the inscribed circle in a right trapezoid is r = ab/(a+b).
_____
The graph in the second attachment shows a trapezoid with the radius calculated as above.
Answer:
For the interpretation we consider a value for d small is is between 0-0.2, medium if is between 0.2-0.8 and large if is higher than 0.8.
And on this case 1.713>0.8 so we have a large effect size
This value of d=1.713 are telling to us that the two groups differ by 1.713 standard deviation and we will have a significant difference between the two means.
Step-by-step explanation:
Previous concepts
The Effect size is a "quantitative measure of the magnitude of the experimenter effect. "
The Cohen's d effect size is given by the following formula:
Solution to the problem
And for this case we can assume:
the mean for females
the mean for males
represent the deviations for both groups
And if we replace we got:
For the interpretation we consider a value for d small is is between 0-0.2, medium if is between 0.2-0.8 and large if is higher than 0.8.
And on this case 1.713>0.8 so we have a large effect size
This value of d=1.713 are telling to us that the two groups differ by 1.713 standard deviation and we will have a significant difference between the two means.
Are you taking the state test-
Answer:
$36.94
Step-by-step explanation:
Okay, so. This is what we do. There is two magazines and they cost 9.95 each multiply 9.95 times 2
9.95 x 2 = 19.90
Okay, then he buys a book for 14.95 we add 19.9. and 14.95
19.90 + 14.95 = 34.85
Then we have a sales tax of 6% we would multiply 34.85 time 6%
34.85 x 6% = 2.09
Then we would add. 34.85 + 2.09
34.85 + 2.09 = 36.94
Therefore your answer is $36.94
Hope this helps!!!
Answer:
Line MN was translated down
✔ 4
units and right
✔ 8
units to create line M'N'.
The slope of Line M N
✔ −2
.
The slope of Line M prime N prime
✔ −2
.
Step-by-step explanation:
On edge 2021 Hope this helps :)
