Answer:
-1/2, 1/4, 1/2 on edge
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.
Find the area and perimeter of this rectangle.
Answer:
for perimeter you add all sides. so Lenth x2 + width x2 is 24+30 which would equal 54
for area it's Lenth times width so 12 times 15 equals 156
33.0 cm
65.9 cm
69.2 cm
Answer:
Option D
Step-by-step explanation:
Volume of a cylinder is
h - height
r - radius
We are given the radius of 2.1 centimeters and the height of 5 centimeters.
Using 3.14 for pi:
69.237 ≈ 69.2
Option D should be the correct answer.
HELP NEEDED ASAP PLSSSSSSSSS PLSSS ILL GIVE U MAX POINTS IF U HELP PLSSSSS
Answer:
27/10
Step-by-step explanation:
Answer:
10 : 3
Step-by-step explanation:
4km = 4000 m
4000 : 1200 = 4000/1200 = 40/12 = 10/3 = 10 : 3
Answer:
convert 4km into meter.
1200m/4000m
3:10
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given : A random sample of 10 subjects have weights with a standard deviation of 11.9407 kg
i.e.
Since we know that the value of variance is the square of standard deviation.
i.e.
Therefore, to find the value of variance, we need to find the square of the given standard deviation.
i.e.
Thus, the variance of their weights =