Some examples of multiples of 2/5 are 4/10, 6/15, 8/20, 10/25, 12/30, and 14/35.
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:
x=7
Step-by-step explanation:
14/28=x/14
x=7
Answer:
Commision may be defined as a percentage cut which an employee, broker, vendor, retailer or other persons within a sale chain receive from an employer or production firm for selling a good or offering a successful service based on agreed terms by both parties. ;
$18700
Step-by-step explanation:
Given :
Commision pattern :
5% on first $200,000
6% on remaining amount
Amount of commission on $345000
0.05 * 200000 = 10,000
0.06 * (345000 - 200000) = 8700
Total commission :
10,000 + 8700 = 18,700
Answer:
7 miles per gallon
Step-by-step explanation: