Area of the trapezoidal bucket, A is 130x² - 77x - 36 cm²
Step-by-step explanation:
- Step 1: Area of a trapezoid = 1/2 (Sum of parallel sides) × Height
Sum of parallel sides = (10x - 2) + (16x + 10)
= 26x + 8 = 2(13x + 4)
Height = 10x - 9
⇒ Area of the bucket = 1/2 × 2(13x + 4) (10x - 9)
= (13x + 4)(10x - 9) cm²
= 130x² - 117x + 40x - 36
A = 130x² - 77x - 36
Answer:
153.86
Step-by-step explanation:
The answer for this question is 0.2
Answer:
k = 4 units
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
k² + 7.5² = 8.5²
k² + 56.25 = 72.25 ( subtract 56.25 from both sides )
k² = 16 ( take the square root of both sides )
k =
= 4