Answer:
51.39 units³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = area of base × height
Here area of base = 5.71 and height = 9, thus
V = 5.71 × 9 = 51.39 units³
Answer:
(4x + 22) feet
Step-by-step explanation:
Diego is building a patio deck. The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet. What is the simplest form expression for the perimeter of the deck?
A patio deck = Rectangular in shape
Hence:
The formula for the Perimeter of a rectangle = 2L + 2W
Where
L = Length
W = Width
The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet.
The perimeter of the deck =
2(x + 8)feet + 2(x + 3)feet
= (2x + 16) feet +( 2x + 6)feet
= (2x + 2x + 16 + 6) feet
= (4x + 22) feet
Therefore, the perimeter of the deck = (4x + 22) feet
5x-2+x=9+3x+10
6x-2=3x+19
3x=21
x=21/3
x=7
AB=AC=BC . .......................................................
6(x + 5)² - 5(x + 5)
6(x + 5)(x + 5) - 5(x) - 5(5)
6(x(x + 5) + 5(x + 5)) - 5x - 25 Distributive Property
6(x(x) + x(5) + 5(x) + 5(5)) - 5x - 25
6(x² + 5x + 5x + 25) - 5x - 25 FOIL
6(x² + 10x + 25) - 5x - 25
6(x²) + 6(10x) + 6(25) - 5x - 25
6x² + 60x + 150 - 5x - 25 Distributive Property
6x² + 60x - 5x + 150 - 25
6x² + 55x + 125 Adding Equations
6x² + 30x - 25x - 125
6x(x) + 6x(5) + 25(x) + 25(5)
6x(x + 5) + 25(x + 5)
(6x + 25)(x + 5) Factoring
