Answer:
10.5 cm
Step-by-step explanation:
Volume = base area × height
798 = (9.5 × 8) × height
height = 798/76
height = 10.5
Answer:
Water needed for pool = 486 cubic feet
Plastic liner required for the pool = 298.3 feet
Step-by-step explanation:
Top view of the pool is a composite figure, having one rectangle and a trapezoid.
1). Water needed for the pool = volume of the pool
Volume of the pool = Area of the base × Depth
= (Area of the rectangle + Area of the trapezoid)× depth
Area of the trapezoid =
=
= 105 ft²
Area of the rectangle = Length × width
= 11 × 1.5
= 16.5 ft²
Now, volume of the pool = (105 + 16.5) × 4
= 121.5 × 4
= 486 cubic feet
b). Liner required = surface area of the pool excluding top
= Surface area of the walls + Area of the pool base
= (Perimeter of the pool) × depth + area of the base
= (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5
= 176.8 + 121.5
= 298.3 square feet
Therefore, amount of water required = 486 cubic feet
liner needed = 298.3 square feet
Answer:
(x,y) (1,-1)
Step-by-step explanation:
y=3-4x
-x+2y=-3
x+2(3-4x)=-3
x=1
y=3-4*1
y=-1
-y = -x + 16
y = x - 16
Slope = 1
Answer:
The maximum number of pounds p is 224
Step-by-step explanation:
Let
p ----> the maximum number of pounds he can pull without going over the weight limit
we know that
121 pound of rock in the wheelbarrow plus p pounds must be at most 345 pounds
In this problem the word "at most" means "less than or equal to"
so
The inequality that represent this situation is
solve for p
subtract 121 both sides
therefore
The maximum number of pounds is 224