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
You have to isolate the (a) so you multiply the 2/3 by 3/2 and you have to do that to the right side. So -24 times 3/2 equals to -36. Therefore, a=-36.
Answer:
400 units³
Step-by-step explanation:
The volume (V) of the square pyramid is
V =
area of base × height (h)
where h is the perpendicular height.
Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )
Using Pythagoras' identity on the right triangle
h² + 5² = 13²
h² + 25 = 169 ( subtract 25 from both sides )
h² = 144 ( take the square root of both sides )
h =
= 12
Area of square base = 10² = 100, hence
V =
× 100 × 12 = 4 × 100 = 400
Answer:
-12x + 94
Step-by-step explanation:
Simplify:






