Step-by-step explanation:
4[5x-3x(2-2x)]
=4[5x-6x+6x^2]
=4[-x+6x^2]
=-4x+24x^2
Ratio = 2:3 = 2/5
Distance between the x coordinates: 3
Distance between the y coordinates: 7
x: 3 * 2/5 = 1.2
y: 7 * 2/5 = 2.8
x coordinate of point: 6 - 1.2 = 4.8
y coordinate of point: 1 + 2.8 = 3.8
So the point that divides the segment AB in the ratio of 2:3 is (4.8 , 3.8) or (24/5 , 19/5)
Hope this helps :)
Answer:
540 ft^2.
Step-by-step explanation:
The area of the trapezoid = h/2 (10 + 18) = 14h.
By Pythagoras the height h = √(5^2 - 4^2) = 3.
So the area of the 2 trapezoidal bases = 2 * 14*3
= 84 ft^2.
Now we calculate the area of the four lateral rectangular sides:
= 10*12 + 18*12 + 2*5*12
= 456 ft^2.
Total area = 456 + 54
= 540 ft^2.