Answer:
Pedro and paola don't seem so happy together
x = 8
Explanation:
AE = 3x - 4
EC = x + 12
SInce diagonals AC and DB intersect at E
it means the lines which meet at the intersection E are equal. A and C meet at E which gives AE and EC
AE = EC
3x - 4 = x + 12
collect like terms:
3x - x = 12 + 4
2x = 16
divide both sides by 2:
2x/2 = 16/2
x = 8
Answer:
A = 119 units²
Step-by-step explanation:
side of square is (12√2)sin45 = 12
The portion of the diagonal that is NOT octagon is
12√2 - 12
There are four corner triangles. The sum of their areas is
(12√2 - 12)²
Area of the octagon is area of the square minus four corner triangle areas.
A = 12² - (12√2 - 12)²
A = 119.2935...
We are given with
dimensions of wheelbarrow = 2ft x 3ft x 1.5 ft
dimensions of truck = 11 ft x 8 ft x 6 ft
The volume of the wheelbarrow is 2(3)(1.5) = 9 ft3
The volume of the truck is 11(8)(6) = 528 ft3
70% of this is
528 ft3 (0.7) = 369.6 ft3
Dividing this by the volume of the wheelbarrow
369.6 ft3 / 9 ft3 = 41.07
He would need to use the wheelbarrow 42 times.
