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Step-by-step explanation:
Answer:
424 cm²
Step-by-step explanation:
The figure is composed of a square and a trapezium on top
A of square = 18² = 324 cm²
A of trapezium =
h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 8, b₁ = 18 and b₂ = 7 , then
A = 0.5 × 8 × (18 + 7) = 4 × 25 = 100 cm²
Area of hexagonal park = 324 + 100 = 424 cm²
Answer:
6 ft and 8 ft
Step-by-step explanation:
let x be the length of one leg then (x + 2) is the other leg.
Using Pythagoras' identity in the right triangle, that is
x² + (x + 2)² = 10² ← expand left side and simplify
x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide all terms by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
But x > 0 ⇒ x = 6
Thus the 2 sides are 6 ft and x + 2 = 6 + 2 = 8 ft
Answer:
6^5 or 7776
Step-by-step explanation:
6^5 because 6 is multiplied with 6, 5 times. So, it is 6^5.
We can also simplify this number.
=> 6 x 6 x 6 x 6 x 6
=> 36 x 36 x 6
=> 36 x 216
=> 7776