A carton of juice shaped like a rectangular prism measures approximately 8 inches high and 4 inches along each edge. A cylindric
2 answers:
Volume of a rectangular prism is
V = length × width × height
The volume of the carton juice is
V = 4 × 4 × 8 = 128 in³
Volume of a cylinder is
V = Area of circular base × height =
×h, where 
is the radius of the circular base
The volume of the cylindrical glass is
V = (1.5)² × 3.14 × 3.5 = 24.7275 in³
Hence, the number of glasses that can be filled with the juice from the carton is:
128 ÷ 24.7275 = 5.18 ≈ 5 glasses
V = length × width × height
The volume of the carton juice is
V = 4 × 4 × 8 = 128 in³
Volume of a cylinder is
V = Area of circular base × height =
The volume of the cylindrical glass is
V = (1.5)² × 3.14 × 3.5 = 24.7275 in³
Hence, the number of glasses that can be filled with the juice from the carton is:
128 ÷ 24.7275 = 5.18 ≈ 5 glasses
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Answer:
Step-by-step explanation:
Given
Required
Determine the new coordinate of J
From rules of rotation,
When a point (x,y) is rotated 270 degrees CCW;
The new point becomes (y,-x)
Considering point J
This means
Where and
Using the above rotation rule of
The coordinates of J' becomes