Two angles are vertical angles. One angle is 2x the other angle is labeled (x+30). Find the value of x
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volume of the box is 675 cubic inches
A machine produces open boxes using square sheets of plastic.
It is a square sheet so length and width are same
Lets assume length as x so width is also x
The machine cuts equal-sized squares measuring 3 inches on a side from each corner of the sheet.
After turning up the sides the height of the box becomes 3 inches
We know the volume of a box formula
Volume = Length * width * height
We know length is x , width is x and height = 3
So V = x * x * 3
Given volume = 675 cubic inches
Divide by 3 on both sides
Now we take square root on both sides
x = 15
the length of one side of the open box is 15 inches.
Answer:
After 3 seconds
Step-by-step explanation:
Given
Required
Seconds to attain maximum height
The maximum of a quadratic function is calculated using:
So, we have:
Where:
and
So:
Cancel out negatives