Answer:
9 units
Step-by-step explanation:
By the midsegment theorem,
Since the ratio 
then 
and
Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.
Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and
Consider right triangle KLE. By the Pythagorean theorem,
Answer: 75.4
Steps:
Circumference = 2πr
π = pi
r = radius
2π(12) = 75.39822
The volume is (area of cross-section) x (length) .
-- The cross-section is a triangle. The area of a triangle is
Area = (1/2) (base) (height) .
In this one, the base is 9/4 m and the height is 3-1/3 m .
Area = (1/2) (9/4 m) (3-1/3 m)
Area = (1/2) (9/4) (10/3)
Area = 90/24 m² .
-- Volume = (area of cross-section) x (length)
Volume = (90/24 m²) x (7-1/3 m)
Volume = (90/24) x (22/3) m³
Volume = (1,980 / 72) m³
<em>Volume = 27.5 m³ </em>
Answer:
The inverse function of h(x) = 3/2*(X-11) is: g(x)= (2/3*X) +11
Step-by-step explanation:
h(x) = Y= 3/2*(X-11)
To find the inverse function, the first step is to exchange the position of the variables with each other. So;
X= 3/2*(Y-11)
Now we need to isolate the variable Y from this equation. The final result will be te inverse function.
X=3/2*(Y-11)
2*X=3*(Y-11)
2/3*X=Y-11
2/3*X +11 = Y
Y= (2/3*X) + 11 (Inverse function)
